Ian Jauslin
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authorIan Jauslin <jauslin@ias.edu>2018-10-11 17:56:55 +0000
committerIan Jauslin <jauslin@ias.edu>2018-10-11 17:59:34 +0000
commitaea87ffd1e19553eca72148f32de3dd914c1be96 (patch)
tree334623be3da66122fdcc914d6d51cf8be9792ba4
As presented at Yale University on 2018-10-11HEADv1.0master
-rw-r--r--Jauslin_Yale_2018.tex217
-rw-r--r--Makefile47
-rw-r--r--README34
-rw-r--r--figs/atoms.fig/Makefile15
-rw-r--r--figs/atoms.fig/chiral-base.gp22
-rw-r--r--figs/atoms.fig/chiral.py102
-rw-r--r--figs/atoms.fig/crystal-base.gp21
-rw-r--r--figs/atoms.fig/crystal.py24
-rw-r--r--figs/atoms.fig/gas-base.gp21
-rw-r--r--figs/atoms.fig/gas.py39
-rw-r--r--figs/atoms.fig/liquid-base.gp21
-rw-r--r--figs/atoms.fig/liquid.py39
-rw-r--r--figs/atoms.fig/nematic-base.gp21
-rw-r--r--figs/atoms.fig/nematic.py90
-rw-r--r--figs/dimer_example.fig/Makefile32
-rw-r--r--figs/dimer_example.fig/dimer_conf.py268
l---------figs/dimer_example.fig/libs/dimer.sty1
-rw-r--r--figs/libs/Makefile25
-rw-r--r--figs/libs/dimer.sty33
l---------figs/polymer_example.fig/Makefile1
-rw-r--r--figs/polymer_example.fig/contours.tikz.tex61
l---------figs/polymer_example.fig/libs/dimer.sty1
-rw-r--r--figs/polymer_example.fig/segments.tikz.tex132
-rw-r--r--figs/regime.fig/Makefile26
-rw-r--r--figs/regime.fig/regime.gnuplot31
l---------figs/smallest.fig/Makefile1
l---------figs/smallest.fig/libs/dimer.sty1
-rw-r--r--figs/smallest.fig/smallest.tikz.tex16
-rw-r--r--libs/ian-presentation.cls187
29 files changed, 1529 insertions, 0 deletions
diff --git a/Jauslin_Yale_2018.tex b/Jauslin_Yale_2018.tex
new file mode 100644
index 0000000..fb8265a
--- /dev/null
+++ b/Jauslin_Yale_2018.tex
@@ -0,0 +1,217 @@
+\documentclass{ian-presentation}
+
+\usepackage[hidelinks]{hyperref}
+\usepackage{graphicx}
+\usepackage{dsfont}
+
+\begin{document}
+\pagestyle{empty}
+\hbox{}\vfil
+\bf\Large
+\hfil Liquid crystals and the\par
+\smallskip
+\hfil Heilmann-Lieb model\par
+\vfil
+\large
+\hfil Ian Jauslin
+\normalsize
+\vfil
+\hfil\rm joint with {\bf Elliott H. Lieb}\par
+\vfil
+arXiv: {\tt \href{http://arxiv.org/abs/1709.05297}{1709.05297}}
+\hfill{\tt \href{http://ian.jauslin.org}{http://ian.jauslin.org}}
+\eject
+
+\setcounter{page}1
+\pagestyle{plain}
+
+\title{Gas-liquid-crystal}
+\vfill
+\hfil
+\includegraphics[width=3cm]{gas.png}
+\includegraphics[width=3cm]{liquid.png}
+\includegraphics[width=3cm]{crystal.png}
+\vfill
+\eject
+
+\title{Liquid crystals}
+\begin{itemize}
+ \item Orientational order and positional disorder.
+\end{itemize}
+\hfil\includegraphics[width=4.5cm]{nematic.png}
+\hfil\includegraphics[width=4.5cm]{chiral.png}
+\vfill
+\eject
+
+\title{History}
+\begin{itemize}
+ \item \href{http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x}{[Onsager, 1949]}: mean field model for hard needles in $\mathbb R^3$.
+ \item \href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}: interacting dimers.
+\vphantom{
+ \item \href{http://dx.doi.org/10.1007/BF00535264}{[Bricmont, Kuroda, Lebowitz, 1984]}: hard needles in $\mathbb R^2$ with a {\it finite} number of orientations.
+ \item \href{http://dx.doi.org/10.1007/s10955-005-8085-8}{[Ioffe, Velenik, Zahradn\'\i k, 2006]}: hard rods in $\mathbb Z^2$ (variable length).
+ \item \href{http://dx.doi.org/10.1007/s00220-013-1767-1}{[Disertori, Giuliani, 2013]}: hard rods in $\mathbb Z^2$.
+}
+\end{itemize}
+\vfill
+\eject
+
+
+\title{Heilmann-Lieb model}
+\hfil\href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}
+\vfil
+\hfil\includegraphics[width=5cm]{grid.pdf}
+\vfil\eject
+
+\addtocounter{page}{-1}
+\title{Heilmann-Lieb model}
+\hfil\href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}
+\vfil
+\hfil\includegraphics[width=5cm]{dimers.pdf}
+\vfil\eject
+
+\addtocounter{page}{-1}
+\title{Heilmann-Lieb model}
+\hfil\href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}
+\vfil
+\hfil\includegraphics[width=5cm]{interaction.pdf}
+\vfil\eject
+
+\title{Heilmann-Lieb conjecture}
+\begin{itemize}
+ \item \href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}: proved orientational order using reflection positivity.
+ \item HL Conjecture: absence of positional order.
+\vphantom{
+ \item \href{http://dx.doi.org/10.1007/s10955-015-1421-8}{[Alberici, 2016]}: different fugacities for horizontal and vertical dimers.
+ \item \href{http://dx.doi.org/10.1103/PhysRevB.89.035128}{[Papanikolaou, Charrier, Fradkin, 2014]}: numerics.
+}
+\end{itemize}
+\vfill
+\eject
+
+\title{History}
+\begin{itemize}
+ \item \href{http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x}{[Onsager, 1949]}: mean field model for hard needles in $\mathbb R^3$.
+ \item \href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}: interacting dimers.
+ \item \href{http://dx.doi.org/10.1007/BF00535264}{[Bricmont, Kuroda, Lebowitz, 1984]}: hard needles in $\mathbb R^2$ with a {\it finite} number of orientations.
+ \item \href{http://dx.doi.org/10.1007/s10955-005-8085-8}{[Ioffe, Velenik, Zahradn\'\i k, 2006]}: hard rods in $\mathbb Z^2$ (variable length).
+ \item \href{http://dx.doi.org/10.1007/s00220-013-1767-1}{[Disertori, Giuliani, 2013]}: hard rods in $\mathbb Z^2$.
+\end{itemize}
+\vfill
+\eject
+
+\title{Heilmann-Lieb conjecture}
+\begin{itemize}
+ \item \href{http://dx.doi.org/10.1007/BF01009518}{[Heilmann, Lieb, 1979]}: proved orientational order using reflection positivity.
+ \item HL Conjecture: absence of positional order.
+ \item \href{http://dx.doi.org/10.1007/s10955-015-1421-8}{[Alberici, 2016]}: different fugacities for horizontal and vertical dimers.
+ \item \href{http://dx.doi.org/10.1103/PhysRevB.89.035128}{[Papanikolaou, Charrier, Fradkin, 2014]}: numerics.
+\end{itemize}
+\vfill
+\eject
+
+
+\title{Heilmann-Lieb model}
+\begin{itemize}
+ \item Grand-canonical Gibbs measure:
+ $$
+ \left<A\right>_{\mathrm v}
+ :=
+ \lim_{\Lambda\to\mathbb Z^2}
+ \frac1{\Xi_{\mathrm v}(\Lambda)}
+ \sum_{\underline\delta\in\Omega_{\mathrm v}(\Lambda)}A(\underline\delta)z^{|\underline\delta|}\prod_{\delta\neq \delta'\in \underline\delta}e^{\frac12J\mathds 1_{\delta\sim\delta'}}
+ $$
+ \vskip-15pt
+ \begin{itemize}
+ \item $\Lambda$: finite box.
+ \item $\Omega_{\mathrm v}(\Lambda)$: non-overlapping dimer configurations satisfying the boundary condition.
+ \item $z\geqslant 0$: fugacity.
+ \item $J\geqslant 0$: interaction strength.
+ \item $\mathds 1_{\delta\sim\delta'}$ indicator that dimers are adjacent and aligned.
+ \end{itemize}
+\end{itemize}
+\vfill
+\eject
+
+\title{Boundary condition}
+\begin{itemize}
+ \item Fix length $\ell_0:=e^{\frac32J}\sqrt z$,
+\end{itemize}
+\hfil\includegraphics[width=5cm]{boundary.pdf}
+
+\title{Theorem}
+For $1\ll z\ll J$, $\|(x,y)\|_{\mathrm{HL}}:=J|x|+e^{-\frac32J}z^{-\frac12}|y|$,
+\begin{itemize}
+ \item Given two vertical edges $e_{\mathrm v},f_{\mathrm v}$, $\left<\mathds 1_{e_{\mathrm v}}\right>_{\mathrm v}$ is {\it independent} of $e_{\mathrm v}$ and
+ $$
+ \begin{array}{c}
+ \left<\mathds 1_{e_{\mathrm v}}\right>_{\mathrm v}=\frac12(1+O(e^{-\frac12J}z^{-\frac12}))
+ \\[0.3cm]
+ \left<\mathds 1_{e_{\mathrm v}}\mathds 1_{f_{\mathrm v}}\right>_{\mathrm v}
+ -\left<\mathds 1_{e_{\mathrm v}}\right>_{\mathrm v}
+ \left<\mathds 1_{f_{\mathrm v}}\right>_{\mathrm v}
+ =O(e^{-c\ \mathrm{dist}_{\mathrm{HL}}(e_{\mathrm v},f_{\mathrm v})})
+ \end{array}
+ $$
+ \vskip-5pt
+ \item Given two horizontal edges $e_{\mathrm h},f_{\mathrm h}$, $\left<\mathds 1_{e_{\mathrm h}}\right>_{\mathrm v}$ is {\it independent} of $e_{\mathrm h}$ and
+ $$
+ \begin{array}{c}
+ \left<\mathds 1_{e_{\mathrm h}}\right>_{\mathrm v}=O(e^{-3J})
+ \\[0.3cm]
+ \left<\mathds 1_{e_{\mathrm h}}\mathds 1_{f_{\mathrm h}}\right>_{\mathrm v}
+ -\left<\mathds 1_{e_{\mathrm h}}\right>_{\mathrm v}
+ \left<\mathds 1_{f_{\mathrm h}}\right>_{\mathrm v}
+ =O(e^{-6J-c\ \mathrm{dist}_{\mathrm{HL}}(e_{\mathrm h},f_{\mathrm h})})
+ \end{array}
+ $$
+\end{itemize}
+\vfill
+\eject
+
+\title{1D system}
+\begin{itemize}
+ \item {\it Only} vertical dimers: integrable.
+ \item Given two vertical edges $e_{\mathrm v},f_{\mathrm v}$, $\left<\mathds 1_{e_{\mathrm v}}\right>_{\mathrm v}$ is {\it independent} of $e_{\mathrm v}$ and
+ $$
+ \begin{array}{c}
+ \left<\mathds 1_{e_{\mathrm v}}\right>_{\mathrm v}=\frac12(1+O(e^{-\frac12J}z^{-\frac12}))
+ \\[0.3cm]
+ \left<\mathds 1_{e_{\mathrm v}}\mathds 1_{f_{\mathrm v}}\right>_{\mathrm v}
+ -\left<\mathds 1_{e_{\mathrm v}}\right>_{\mathrm v}
+ \left<\mathds 1_{f_{\mathrm v}}\right>_{\mathrm v}
+ =O(e^{-c\ \mathrm{dist}_{\mathrm{1D}}(e_{\mathrm v},f_{\mathrm v})})
+ \end{array}
+ $$
+ with $\|(x,y)\|_{\mathrm{1D}}:=e^{-\frac32J}z^{-\frac12}|y|$.
+\end{itemize}
+\vfill
+\eject
+
+\title{Loop model}
+\vfill
+\hfil\includegraphics[width=5cm]{dimer_contour.pdf}
+\begin{itemize}
+ \item Weight of a loop of length $|l|$: $e^{-\frac12J|l|}$.
+\end{itemize}
+\vfill
+\eject
+
+\title{Difficulty: loops interact}
+\vskip-10pt
+\begin{itemize}
+ \item Correlated dimers induce an interaction between loops, which decays exponentially with a rate $e^{-\frac32J}z^{-\frac12}$.
+\end{itemize}
+\hfil\includegraphics[width=3.5cm]{segments.pdf}
+\begin{itemize}
+ \item Vertical-to-horizontal boundaries and horizontal-to-vertical ones have different geometries.
+\end{itemize}
+\vfill
+\eject
+
+\title{Parameter regime}
+\vfill
+\hfil\includegraphics[width=8cm]{regime.pdf}
+
+
+\end{document}
diff --git a/Makefile b/Makefile
new file mode 100644
index 0000000..9069488
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,47 @@
+PROJECTNAME=$(basename $(wildcard *.tex))
+LIBS=$(notdir $(wildcard libs/*))
+FIGS=$(notdir $(wildcard figs/*.fig))
+
+PDFS=$(addsuffix .pdf, $(PROJECTNAME))
+SYNCTEXS=$(addsuffix .synctex.gz, $(PROJECTNAME))
+
+all: $(PROJECTNAME)
+
+$(PROJECTNAME): $(LIBS) $(FIGS)
+ pdflatex -file-line-error $@.tex
+ pdflatex -synctex=1 $@.tex
+
+$(SYNCTEXS): $(LIBS) $(FIGS)
+ pdflatex -synctex=1 $(patsubst %.synctex.gz, %.tex, $@)
+
+
+$(LIBS):
+ ln -fs libs/$@ ./
+
+
+$(FIGS):
+ make -C figs/$@
+ for pdf in $$(find figs/$@/ -name '*.pdf'); do ln -fs "$$pdf" ./ ; done
+ for png in $$(find figs/$@/ -name '*.png'); do ln -fs "$$png" ./ ; done
+
+
+clean-aux: clean-figs-aux
+ rm -f $(addsuffix .aux, $(PROJECTNAME))
+ rm -f $(addsuffix .log, $(PROJECTNAME))
+ rm -f $(addsuffix .out, $(PROJECTNAME))
+
+clean-libs:
+ rm -f $(LIBS)
+
+clean-figs:
+ $(foreach fig,$(addprefix figs/, $(FIGS)), make -C $(fig) clean; )
+ rm -f $(notdir $(wildcard figs/*.fig/*.pdf))
+
+clean-figs-aux:
+ $(foreach fig,$(addprefix figs/, $(FIGS)), make -C $(fig) clean-aux; )
+
+
+clean-tex:
+ rm -f $(PDFS) $(SYNCTEXS)
+
+clean: clean-aux clean-tex clean-libs clean-figs
diff --git a/README b/README
new file mode 100644
index 0000000..d986cd6
--- /dev/null
+++ b/README
@@ -0,0 +1,34 @@
+This directory contains the source files to typeset the presentation, and
+generate the figures. This can be accomplished by running
+ make
+
+This document uses a custom class file, located in the 'libs' directory, which
+defines a number of commands.
+
+
+* Dependencies:
+
+ pdflatex
+ TeXlive packages:
+ amsfonts
+ doublestroke
+ graphics
+ hyperref
+ latex
+ pgf
+ standalone
+ GNU make
+ python3
+ gnuplot
+
+* Files:
+
+ Jauslin_Yale_2018.tex:
+ main LaTeX file
+
+ libs:
+ custom LaTeX class file
+
+ figs:
+ source code for the figures
+
diff --git a/figs/atoms.fig/Makefile b/figs/atoms.fig/Makefile
new file mode 100644
index 0000000..a4b610f
--- /dev/null
+++ b/figs/atoms.fig/Makefile
@@ -0,0 +1,15 @@
+PROJECTNAME=crystal liquid gas nematic chiral
+PNGS=$(addsuffix .png, $(PROJECTNAME))
+
+all: $(PNGS)
+
+$(PNGS):
+ cp $(patsubst %.png, %, $@)-base.gp $(patsubst %.png, %, $@).gp
+ python $(patsubst %.png, %, $@).py >> $(patsubst %.png, %, $@).gp
+ gnuplot $(patsubst %.png, %, $@).gp > $@
+
+clean-aux:
+ rm -f $(addsuffix .gp, $(PROJECTNAME))
+
+clean: clean-aux
+ rm -f $(PNGS)
diff --git a/figs/atoms.fig/chiral-base.gp b/figs/atoms.fig/chiral-base.gp
new file mode 100644
index 0000000..5960ce6
--- /dev/null
+++ b/figs/atoms.fig/chiral-base.gp
@@ -0,0 +1,22 @@
+set terminal pngcairo size 2048,2048
+
+set key off
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+
+set parametric
+
+set view 80,10,1.5
+set view equal xyz
+
+set isosample 100
+
+set pm3d depthorder
+set pm3d lighting primary 0.50 specular 0.6
+
+set palette defined (0 "#339999", 1 "#339999")
+
+splot \
diff --git a/figs/atoms.fig/chiral.py b/figs/atoms.fig/chiral.py
new file mode 100644
index 0000000..eed6df8
--- /dev/null
+++ b/figs/atoms.fig/chiral.py
@@ -0,0 +1,102 @@
+#!/usr/bin/env python3
+
+from math import *
+import random
+import sys
+
+# size of space
+L=30
+# number of lines
+H=5
+# heigh of lines
+height=5
+# number of rods per line
+N=16
+# aspect ratio
+a=10
+# spread in theta angle
+spread_t=pi/60
+# in phi
+spread_p=pi/60
+# in height
+spread_h=1/120
+
+# check whether two rods overlap
+def check_overlap(rod1,rod2):
+ # relative placement
+ relative_pos=unrotate(subtract(rod2[0],rod1[0]), rod1[1])
+ if(abs(relative_pos[0])<2 and abs(relative_pos[1])<2 and abs(relative_pos[2])<2):
+ return(True)
+ # relative angle
+ relative_ang=cart_to_spherical(unrotate(spherical_to_cart(rod2[1]), rod1[1]))
+ # exclusion volume
+ # rotate other rod
+ relative_pos=unrotate(relative_pos, [0,relative_ang[1]])
+ #if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(relative_pos[2])-a-2<abs(cos(relative_ang[0])*a)):
+ if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(sin(relative_ang[0])*relative_pos[2]-cos(relative_ang[0])*relative_pos[0])-2<abs(sin(relative_ang[0])*a)):
+ return(True)
+ return(False)
+
+# def subtract vectors
+def subtract(x,y):
+ return([x[0]-y[0],x[1]-y[1],x[2]-y[2]])
+# rotate vector
+def unrotate(x,w):
+ ret=[x[0],x[1],x[2]]
+ # rotate phi
+ tmp=cos(w[1])*ret[0]+sin(w[1])*ret[1]
+ ret[1]=-sin(w[1])*ret[0]+cos(w[1])*ret[1]
+ ret[0]=tmp
+ # rotate theta
+ tmp=cos(w[0])*ret[0]-sin(w[0])*ret[2]
+ ret[2]=sin(w[0])*ret[0]+cos(w[0])*ret[2]
+ ret[0]=tmp
+ return(ret)
+
+# convert coordinates
+def spherical_to_cart(w):
+ return([cos(w[1])*sin(w[0]),sin(w[1])*sin(w[0]),cos(w[0])])
+def cart_to_spherical(x):
+ w=[0,0]
+ w[0]=acos(x[2])
+ if(sin(w[0]==0)):
+ return([w[0],0])
+ c=x[0]/sin(w[0])
+ s=x[1]/sin(w[0])
+ # to avoid truncation errors
+ if(abs(c)>1 and abs(c)<1.0001):
+ if(c>0):
+ return([w[0],0])
+ else:
+ return([w[0],pi])
+ if(s>=0):
+ return([w[0],acos(c)])
+ return([w[0],2*pi-acos(c)])
+
+# configuration
+config=[]
+# add rods
+for h in range(H):
+ config_h=[]
+ while len(config_h)<N:
+ # random position and angles
+ x=[random.uniform(0,L), random.uniform(0,L), random.gauss(h*height,spread_h)]
+ w=[abs(random.gauss(pi/2,spread_t)), random.gauss(pi/2*(1-h/(H-1)),spread_p)]
+ # chek it does not interfere with other rods
+ fine=True
+ for rod in config+config_h:
+ if(check_overlap(rod,[x,w])):
+ fine=False
+ break
+ if fine:
+ config_h.append([x,w])
+ config=config+config_h
+
+for i in range(len(config)):
+ rod=config[i]
+ print(str(rod[0][0])+"+("+str(cos(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(-sin(rod[1][1]))+")*sin(u)*sin(v)+("+str(cos(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
+ print(str(rod[0][1])+"+("+str(sin(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][1]))+")*sin(u)*sin(v)+("+str(sin(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
+ print(str(rod[0][2])+"+("+str(-sin(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][0])*a)+")*cos(v)", end=" ")
+ print("with pm3d", end="")
+ if i<len(config)-1:
+ print(", \\")
diff --git a/figs/atoms.fig/crystal-base.gp b/figs/atoms.fig/crystal-base.gp
new file mode 100644
index 0000000..4de0ee2
--- /dev/null
+++ b/figs/atoms.fig/crystal-base.gp
@@ -0,0 +1,21 @@
+set terminal pngcairo size 2048,2048
+
+set key off
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+
+set parametric
+
+set view equal xyz
+
+set isosample 100
+
+set pm3d depthorder
+set pm3d lighting primary 0.50 specular 0.6
+
+set palette defined (0 "#339999", 1 "#339999")
+
+splot \
diff --git a/figs/atoms.fig/crystal.py b/figs/atoms.fig/crystal.py
new file mode 100644
index 0000000..4b1ba3c
--- /dev/null
+++ b/figs/atoms.fig/crystal.py
@@ -0,0 +1,24 @@
+#!/usr/bin/env python3
+
+from math import *
+import random
+import sys
+
+# size of lattice
+N=5
+
+# configuration
+config=[]
+for i in range(N):
+ for j in range(N):
+ for k in range(N):
+ config.append([2*i+((j+k)%2),sqrt(3)*(j+(k%2)/3),2*sqrt(6)/3*k])
+
+
+for i in range(len(config)):
+ print(str(config[i][0])+"+cos(u)*sin(v)", end=",")
+ print(str(config[i][1])+"+sin(u)*sin(v)", end=",")
+ print(str(config[i][2])+"+cos(v)", end=" ")
+ print("with pm3d", end="")
+ if i<len(config)-1:
+ print(", \\")
diff --git a/figs/atoms.fig/gas-base.gp b/figs/atoms.fig/gas-base.gp
new file mode 100644
index 0000000..e95f005
--- /dev/null
+++ b/figs/atoms.fig/gas-base.gp
@@ -0,0 +1,21 @@
+set terminal pngcairo size 2048,2048
+
+set key off
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+
+set parametric
+
+set view equal xyz
+
+set isosample 100
+
+set pm3d depthorder
+set pm3d lighting primary 0.5 specular 0.6
+
+set palette defined (0 "#339999", 1 "#339999")
+
+splot \
diff --git a/figs/atoms.fig/gas.py b/figs/atoms.fig/gas.py
new file mode 100644
index 0000000..8685999
--- /dev/null
+++ b/figs/atoms.fig/gas.py
@@ -0,0 +1,39 @@
+#!/usr/bin/env python3
+
+from math import *
+import random
+
+# size of space
+L=15
+# number of particles
+N=10
+
+# check whether two rods overlap
+def check_overlap(sphere1,sphere2):
+ if(sqrt((sphere2[0]-sphere1[0])**2+(sphere2[1]-sphere1[1])**2+(sphere2[2]-sphere1[2])**2)<2):
+ return(True)
+ return(False)
+
+# configuration
+config=[]
+# add spheres
+while len(config)<N:
+ # random position
+ x=[random.uniform(0,L), random.uniform(0,L), random.uniform(0,L)]
+ # check it does not interfere with other spheres
+ fine=True
+ for sphere in config:
+ if(check_overlap(sphere,x)):
+ fine=False
+ break
+ if fine:
+ config.append(x)
+
+for i in range(len(config)):
+ sphere=config[i]
+ print(str(sphere[0])+"+cos(u)*sin(v)", end=", ")
+ print(str(sphere[1])+"+sin(u)*sin(v)", end=", ")
+ print(str(sphere[2])+"+cos(v)", end=" ")
+ print("with pm3d", end="")
+ if i<len(config)-1:
+ print(", \\")
diff --git a/figs/atoms.fig/liquid-base.gp b/figs/atoms.fig/liquid-base.gp
new file mode 100644
index 0000000..4de0ee2
--- /dev/null
+++ b/figs/atoms.fig/liquid-base.gp
@@ -0,0 +1,21 @@
+set terminal pngcairo size 2048,2048
+
+set key off
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+
+set parametric
+
+set view equal xyz
+
+set isosample 100
+
+set pm3d depthorder
+set pm3d lighting primary 0.50 specular 0.6
+
+set palette defined (0 "#339999", 1 "#339999")
+
+splot \
diff --git a/figs/atoms.fig/liquid.py b/figs/atoms.fig/liquid.py
new file mode 100644
index 0000000..99b09ba
--- /dev/null
+++ b/figs/atoms.fig/liquid.py
@@ -0,0 +1,39 @@
+#!/usr/bin/env python3
+
+from math import *
+import random
+
+# size of space
+L=15
+# number of particles
+N=100
+
+# check whether two rods overlap
+def check_overlap(sphere1,sphere2):
+ if(sqrt((sphere2[0]-sphere1[0])**2+(sphere2[1]-sphere1[1])**2+(sphere2[2]-sphere1[2])**2)<2):
+ return(True)
+ return(False)
+
+# configuration
+config=[]
+# add spheres
+while len(config)<N:
+ # random position
+ x=[random.uniform(0,L), random.uniform(0,L), random.uniform(0,L)]
+ # check it does not interfere with other spheres
+ fine=True
+ for sphere in config:
+ if(check_overlap(sphere,x)):
+ fine=False
+ break
+ if fine:
+ config.append(x)
+
+for i in range(len(config)):
+ sphere=config[i]
+ print(str(sphere[0])+"+cos(u)*sin(v)", end=", ")
+ print(str(sphere[1])+"+sin(u)*sin(v)", end=", ")
+ print(str(sphere[2])+"+cos(v)", end=" ")
+ print("with pm3d", end="")
+ if i<len(config)-1:
+ print(", \\")
diff --git a/figs/atoms.fig/nematic-base.gp b/figs/atoms.fig/nematic-base.gp
new file mode 100644
index 0000000..4de0ee2
--- /dev/null
+++ b/figs/atoms.fig/nematic-base.gp
@@ -0,0 +1,21 @@
+set terminal pngcairo size 2048,2048
+
+set key off
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+
+set parametric
+
+set view equal xyz
+
+set isosample 100
+
+set pm3d depthorder
+set pm3d lighting primary 0.50 specular 0.6
+
+set palette defined (0 "#339999", 1 "#339999")
+
+splot \
diff --git a/figs/atoms.fig/nematic.py b/figs/atoms.fig/nematic.py
new file mode 100644
index 0000000..5c779c0
--- /dev/null
+++ b/figs/atoms.fig/nematic.py
@@ -0,0 +1,90 @@
+#!/usr/bin/env python3
+
+from math import *
+import random
+
+# size of space
+L=30
+# number of rods
+N=75
+# aspect ratio
+a=10
+# spread in theta angle
+spread=pi/30
+
+# check whether two rods overlap
+def check_overlap(rod1,rod2):
+ # relative placement
+ relative_pos=unrotate(subtract(rod2[0],rod1[0]), rod1[1])
+ if(abs(relative_pos[0])<2 and abs(relative_pos[1])<2 and abs(relative_pos[2])<2):
+ return(True)
+ # relative angle
+ relative_ang=cart_to_spherical(unrotate(spherical_to_cart(rod2[1]), rod1[1]))
+ # exclusion volume
+ # rotate other rod
+ relative_pos=unrotate(relative_pos, [0,relative_ang[1]])
+ #if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(relative_pos[2])-a-2<abs(cos(relative_ang[0])*a)):
+ if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(sin(relative_ang[0])*relative_pos[2]-cos(relative_ang[0])*relative_pos[0])-2<abs(sin(relative_ang[0])*a)):
+ return(True)
+ return(False)
+
+# def subtract vectors
+def subtract(x,y):
+ return([x[0]-y[0],x[1]-y[1],x[2]-y[2]])
+# rotate vector
+def unrotate(x,w):
+ ret=[x[0],x[1],x[2]]
+ # rotate phi
+ tmp=cos(w[1])*ret[0]+sin(w[1])*ret[1]
+ ret[1]=-sin(w[1])*ret[0]+cos(w[1])*ret[1]
+ ret[0]=tmp
+ # rotate theta
+ tmp=cos(w[0])*ret[0]-sin(w[0])*ret[2]
+ ret[2]=sin(w[0])*ret[0]+cos(w[0])*ret[2]
+ ret[0]=tmp
+ return(ret)
+
+# convert coordinates
+def spherical_to_cart(w):
+ return([cos(w[1])*sin(w[0]),sin(w[1])*sin(w[0]),cos(w[0])])
+def cart_to_spherical(x):
+ w=[0,0]
+ w[0]=acos(x[2])
+ if(sin(w[0]==0)):
+ return([w[0],0])
+ c=x[0]/sin(w[0])
+ s=x[1]/sin(w[0])
+ # to avoid truncation errors
+ if(abs(c)>1 and abs(c)<1.0001):
+ if(c>0):
+ return([w[0],0])
+ else:
+ return([w[0],pi])
+ if(s>=0):
+ return([w[0],acos(c)])
+ return([w[0],2*pi-acos(c)])
+
+# configuration
+config=[]
+# add rods
+while len(config)<N:
+ # random position and angles
+ x=[random.uniform(0,L), random.uniform(0,L), random.uniform(0,L)]
+ w=[abs(random.gauss(0,spread)), random.uniform(0,2*pi)]
+ # chek it does not interfere with other rods
+ fine=True
+ for rod in config:
+ if(check_overlap(rod,[x,w])):
+ fine=False
+ break
+ if fine:
+ config.append([x,w])
+
+for i in range(len(config)):
+ rod=config[i]
+ print(str(rod[0][0])+"+("+str(cos(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(-sin(rod[1][1]))+")*sin(u)*sin(v)+("+str(cos(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
+ print(str(rod[0][1])+"+("+str(sin(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][1]))+")*sin(u)*sin(v)+("+str(sin(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
+ print(str(rod[0][2])+"+("+str(-sin(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][0])*a)+")*cos(v)", end=" ")
+ print("with pm3d", end="")
+ if i<len(config)-1:
+ print(", \\")
diff --git a/figs/dimer_example.fig/Makefile b/figs/dimer_example.fig/Makefile
new file mode 100644
index 0000000..f4dcf58
--- /dev/null
+++ b/figs/dimer_example.fig/Makefile
@@ -0,0 +1,32 @@
+PROJECTNAME=grid dimers interaction boundary dimer_contour
+LIBS=$(notdir $(wildcard libs/*))
+
+PDFS=$(addsuffix .pdf, $(PROJECTNAME))
+SOURCES=$(addsuffix .tikz.tex, $(PROJECTNAME))
+
+all: $(PDFS)
+
+$(PDFS): $(SOURCES) $(LIBS)
+ echo $(LIBS)
+ pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
+
+$(SOURCES):
+ python3 dimer_conf.py
+
+$(LIBS):
+ ln -fs libs/$@ ./
+
+clean-libs:
+ rm -f $(LIBS)
+
+clean-aux:
+ rm -f $(addsuffix .aux, $(PROJECTNAME))
+ rm -f $(addsuffix .log, $(PROJECTNAME))
+
+clean-tex:
+ rm -f $(PDFS)
+
+clean-sources:
+ rm -f $(SOURCES)
+
+clean: clean-libs clean-aux clean-tex clean-sources
diff --git a/figs/dimer_example.fig/dimer_conf.py b/figs/dimer_example.fig/dimer_conf.py
new file mode 100644
index 0000000..f32ce5e
--- /dev/null
+++ b/figs/dimer_example.fig/dimer_conf.py
@@ -0,0 +1,268 @@
+#!/usr/bin/env python3
+
+import random
+from math import *
+
+# size of the grid
+L=24
+# boundary thickness (must be even)
+l0=4
+# activity and interaction
+z=3
+J=5
+
+
+# draw random dimers in a select area
+def fill_dimers(mask,direction):
+ if(direction=="h"):
+ d=[1,0]
+ else:
+ d=[0,1]
+
+ dimers=[]
+
+ # keep track of which sites are occupied
+ occupied=[]
+ for i in range(L):
+ occupied.append([])
+ for j in range(L):
+ occupied[i].append(0)
+
+ for i in range(10000):
+ # pick a random edge (indexed by its lower-left corner)
+ e=None
+ while(e==None or e[0]+d[0]>=L or e[1]+d[1]>=L or mask[e[0]][e[1]]==0 or mask[e[0]+d[0]][e[1]+d[1]]==0):
+ e=[random.randint(0,L-1),random.randint(0,L-1)]
+ # check whether a dimer can be added to the edge
+ if(occupied[e[0]][e[1]]==0 and occupied[e[0]+d[0]][e[1]+d[1]]==0):
+ # number of interactions
+ interactions=0
+ if(e[0]+2*d[0]<L and e[1]+2*d[1]<L and occupied[e[0]+2*d[0]][e[1]+2*d[1]]==1):
+ interactions=interactions+1
+ if(e[0]-d[0]>=0 and e[1]-d[1]>=0 and occupied[e[0]-d[0]][e[1]-d[1]]==1):
+ interactions=interactions+1
+ # probability of adding the dimer
+ p=1/(1+1/z*exp(-J*interactions))
+ if(p>random.random()):
+ # add dimer
+ dimers.append(e)
+ occupied[e[0]][e[1]]=1
+ occupied[e[0]+d[0]][e[1]+d[1]]=1
+
+ return(dimers)
+
+# find interactions
+def interactions(dimers,direction):
+ if(direction=="h"):
+ d=[1,0]
+ else:
+ d=[0,1]
+
+ out=[]
+ for d1 in dimers:
+ for d2 in dimers:
+ if(d1[0]-d2[0]==2*d[0] and d1[1]-d2[1]==2*d[1]):
+ out.append([d2[0]+d[0],d2[1]+d[1]])
+ return(out)
+
+
+# draw dimers
+def draw_dimers(v_dimers,h_dimers,file_desc,color):
+ for d in v_dimers:
+ print("\\dimer{[color="+color+"]("+str(d[0])+","+str(d[1])+")}v", file=file_desc)
+ print("", file=file_desc)
+ for d in h_dimers:
+ print("\\dimer{[color="+color+"]("+str(d[0])+","+str(d[1])+")}h", file=file_desc)
+ print("", file=file_desc)
+
+# draw interactions
+def draw_interactions(v_interactions,h_interactions,file_desc):
+ for d in v_interactions:
+ print("\\interaction{("+str(d[0])+","+str(d[1])+")}v", file=file_desc)
+ print("", file=file_desc)
+ for d in h_interactions:
+ print("\\interaction{("+str(d[0])+","+str(d[1])+")}h", file=file_desc)
+ print("", file=file_desc)
+
+# draw loops
+def draw_loops(loops,file_desc,color):
+ for loop in loops:
+ print("\\draw[color="+color+", line width=3pt]",end="",file=file_desc)
+ for e in loop:
+ print("("+str(e[0])+","+str(e[1])+")--",end="",file=file_desc)
+ print("cycle;",file=file_desc)
+
+# init tikz file
+def init_tikz(filename):
+ file_desc=open(filename,"w")
+ print("\\documentclass{standalone}\n\n\\usepackage{tikz}\n\\usepackage{dimer}\n\\usetikzlibrary{decorations.pathmorphing}\n\n\\begin{document}\n\\begin{tikzpicture}\n\n", file=file_desc)
+ return(file_desc)
+
+# close tikz file
+def close_tikz(file_desc):
+ print("\\end{tikzpicture}\n\\end{document}", file=file_desc)
+ file_desc.close()
+
+
+mu=int(L/2)
+
+# loops
+loop1=[]
+for i in range(0,2*l0):
+ loop1.append([mu-l0+i,mu+4.5])
+for i in range(0,4):
+ loop1.append([mu+l0-1+0.5,mu+4-i])
+for i in range(0,l0):
+ loop1.append([mu+l0+i,mu+0.5])
+for i in range(0,6):
+ loop1.append([mu+2*l0-1+0.5,mu-i])
+for i in range(0,4*l0):
+ loop1.append([mu+2*l0-1-i,mu-5.5])
+for i in range(0,6):
+ loop1.append([mu-2*l0-0.5,mu-5+i])
+for i in range(0,l0):
+ loop1.append([mu-2*l0+i,mu+0.5])
+for i in range(0,4):
+ loop1.append([mu-l0-0.5,mu+1+i])
+# core of loop1
+core_loop1=[]
+for i in range(0,2*l0-4):
+ core_loop1.append([mu-l0+2+i,mu+3.5])
+for i in range(0,3):
+ core_loop1.append([mu+l0-3+0.5,mu+3-i])
+core_loop1.append([mu+l0-2,mu+0.5])
+core_loop1.append([mu+l0-1,mu+0.5])
+for i in range(0,l0-2):
+ core_loop1.append([mu+l0+i,mu-1+0.5])
+for i in range(0,4):
+ core_loop1.append([mu+2*l0-3+0.5,mu-1-i])
+for i in range(0,4*l0-4):
+ core_loop1.append([mu+2*l0-3-i,mu-4.5])
+for i in range(0,4):
+ core_loop1.append([mu-2*l0+2-0.5,mu-4+i])
+for i in range(0,l0-2):
+ core_loop1.append([mu-2*l0+2+i,mu-1+0.5])
+core_loop1.append([mu-l0,mu+0.5])
+core_loop1.append([mu-l0+1,mu+0.5])
+for i in range(0,3):
+ core_loop1.append([mu-l0+2-0.5,mu+1+i])
+
+loop2=[[mu-1,mu+2.5],[mu-0.5,mu+2],[mu-0.5,mu+1],[mu-1,mu+0.5],[mu-1.5,mu+1],[mu-1.5,mu+2]]
+loop3=[[mu-1,mu-1.5],[mu,mu-1.5],[mu+0.5,mu-2],[mu+0.5,mu-3],[mu,mu-3.5],[mu-1,mu-3.5],[mu-1.5,mu-3],[mu-1.5,mu-2]]
+
+
+loops=[loop1,loop2,loop3]
+
+
+# masks
+# init
+v_mask=[]
+h_mask=[]
+for i in range(L):
+ v_mask.append([])
+ h_mask.append([])
+ for j in range(L):
+ v_mask[i].append(1)
+ h_mask[i].append(0)
+# draw masks
+for i in range(mu-l0,mu+l0):
+ for j in range(mu+1,mu+5):
+ v_mask[i][j]=0
+for i in range(mu-2*l0,mu+2*l0):
+ for j in range(mu-5,mu+1):
+ v_mask[i][j]=0
+for i in range(mu-l0+2,mu+l0-2):
+ for j in range(mu+1,mu+4):
+ h_mask[i][j]=1
+for i in range(mu-l0,mu+l0):
+ h_mask[i][mu]=1
+for i in range(mu-2*l0+2,mu+2*l0-2):
+ for j in range(mu-4,mu):
+ h_mask[i][j]=1
+h_mask[mu-1][mu+1]=0
+h_mask[mu-1][mu+2]=0
+h_mask[mu-1][mu-3]=0
+h_mask[mu-1][mu-2]=0
+h_mask[mu][mu-3]=0
+h_mask[mu][mu-2]=0
+
+# random dimers in mask
+v_dimers=fill_dimers(v_mask,"v")
+h_dimers=fill_dimers(h_mask,"h")
+
+# mantle dimers
+h_mantle=[]
+for i in range(0,l0):
+ h_mantle.append([mu-l0+2*i,mu+4])
+for i in range(0,4):
+ h_mantle.append([mu+l0-2,mu+4-i])
+ h_mantle.append([mu-l0,mu+4-i])
+for i in range(0,int(l0/2)):
+ h_mantle.append([mu+l0+2*i,mu])
+ h_mantle.append([mu-l0-2-2*i,mu])
+for i in range(0,5):
+ h_mantle.append([mu+2*l0-2,mu-i])
+ h_mantle.append([mu-2*l0,mu-i])
+for i in range(0,2*l0):
+ h_mantle.append([mu-2*l0+2*i,mu-5])
+
+v_mantle=[]
+v_mantle.append([mu-1,mu+1])
+v_mantle.append([mu-1,mu-3])
+v_mantle.append([mu,mu-3])
+
+# flip horizontal mantle
+flip_mantle=[]
+for i in range(2,2*l0-2):
+ flip_mantle.append([mu-l0+i,mu+4])
+for i in range(0,2):
+ flip_mantle.append([mu+l0-2,mu+3-2*i])
+ flip_mantle.append([mu-l0+1,mu+3-2*i])
+flip_mantle.append([mu+l0-1,mu+1])
+flip_mantle.append([mu-l0,mu+1])
+for i in range(1,l0-1):
+ flip_mantle.append([mu+l0-1+i,mu])
+ flip_mantle.append([mu-l0-i,mu])
+for i in range(0,2):
+ flip_mantle.append([mu+2*l0-2,mu-2*i-2])
+ flip_mantle.append([mu-2*l0+1,mu-2*i-2])
+for i in range(2,4*l0-2):
+ flip_mantle.append([mu-2*l0+i,mu-6])
+
+# interactions
+v_interactions=interactions(v_dimers+v_mantle,"v")
+h_interactions=interactions(h_dimers+h_mantle,"h")
+
+
+# files
+
+grid=init_tikz("grid.tikz.tex")
+print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=grid)
+close_tikz(grid)
+
+dimers=init_tikz("dimers.tikz.tex")
+print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=dimers)
+draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,dimers,"black")
+close_tikz(dimers)
+
+interaction=init_tikz("interaction.tikz.tex")
+print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=interaction)
+draw_interactions(v_interactions,h_interactions,interaction)
+draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,interaction,"black")
+close_tikz(interaction)
+
+boundary=init_tikz("boundary.tikz.tex")
+print("\\fill[color=cyan](-0.5,-0.5)--++("+str(L)+",0)--++(0,"+str(l0)+")--++("+str(-L)+",0)--cycle;", file=boundary)
+print("\\fill[color=cyan](-0.5,"+str(L-l0-0.5)+")--++("+str(L)+",0)--++(0,"+str(l0)+")--++("+str(-L)+",0)--cycle;", file=boundary)
+print("", file=boundary)
+print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=boundary)
+draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,boundary,"black")
+close_tikz(boundary)
+
+contour=init_tikz("dimer_contour.tikz.tex")
+print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=contour)
+draw_loops([loop1,loop2,loop3],contour,"blue")
+draw_interactions(v_interactions,h_interactions,contour)
+draw_dimers(v_dimers,h_dimers,contour,"black")
+draw_dimers(v_mantle,h_mantle,contour,"black")
+close_tikz(contour)
diff --git a/figs/dimer_example.fig/libs/dimer.sty b/figs/dimer_example.fig/libs/dimer.sty
new file mode 120000
index 0000000..2d83c8a
--- /dev/null
+++ b/figs/dimer_example.fig/libs/dimer.sty
@@ -0,0 +1 @@
+../../libs/dimer.sty \ No newline at end of file
diff --git a/figs/libs/Makefile b/figs/libs/Makefile
new file mode 100644
index 0000000..994463b
--- /dev/null
+++ b/figs/libs/Makefile
@@ -0,0 +1,25 @@
+PROJECTNAME=$(basename $(basename $(wildcard *.tikz.tex)))
+LIBS=$(notdir $(wildcard libs/*))
+
+PDFS=$(addsuffix .pdf, $(PROJECTNAME))
+
+all: $(PDFS)
+
+$(PDFS): $(LIBS)
+ echo $(LIBS)
+ pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
+
+$(LIBS):
+ ln -fs libs/$@ ./
+
+clean-libs:
+ rm -f $(LIBS)
+
+clean-aux:
+ rm -f $(addsuffix .aux, $(PROJECTNAME))
+ rm -f $(addsuffix .log, $(PROJECTNAME))
+
+clean-tex:
+ rm -f $(PDFS)
+
+clean: clean-libs clean-aux clean-tex
diff --git a/figs/libs/dimer.sty b/figs/libs/dimer.sty
new file mode 100644
index 0000000..0f087ef
--- /dev/null
+++ b/figs/libs/dimer.sty
@@ -0,0 +1,33 @@
+% square lattice (width #1, height #2, origin #3)
+\def\grid#1#2#3{
+ \foreach\i in {0,...,#2}{
+ \draw#3++(0,\i)--++(#1,0);
+ }
+ \foreach\i in {0,...,#1}{
+ \draw#3++(\i,0)--++(0,#2);
+ }
+}
+
+% dimer (bottom-left vertex #1, vertical or horizontal #2)
+\def\dimer#1#2{
+ \if#2h
+ \draw[line width=5pt]#1--++(1,0);
+ \fill#1circle(7pt);
+ \fill#1++(1,0)circle(7pt);
+ \else
+ \draw[line width=5pt]#1--++(0,1);
+ \fill#1circle(7pt);
+ \fill#1++(0,1)circle(7pt);
+ \fi
+}
+
+% interactions (bottom-left vertex #1, vertical or horizontal #2)
+\def\interaction#1#2{
+ \if#2h
+ \draw[line width=5pt, color=white]#1--++(1,0);
+ \draw[line width=4pt, decorate, decoration={snake}, color=red]#1--++(1,0);
+ \else
+ \draw[line width=5pt, color=white]#1--++(0,1);
+ \draw[line width=4pt, decorate, decoration={snake}, color=red]#1--++(0,1);
+ \fi
+}
diff --git a/figs/polymer_example.fig/Makefile b/figs/polymer_example.fig/Makefile
new file mode 120000
index 0000000..704310e
--- /dev/null
+++ b/figs/polymer_example.fig/Makefile
@@ -0,0 +1 @@
+../libs/Makefile \ No newline at end of file
diff --git a/figs/polymer_example.fig/contours.tikz.tex b/figs/polymer_example.fig/contours.tikz.tex
new file mode 100644
index 0000000..995bda2
--- /dev/null
+++ b/figs/polymer_example.fig/contours.tikz.tex
@@ -0,0 +1,61 @@
+\documentclass{standalone}
+
+\usepackage{tikz}
+\usepackage{dimer}
+
+\begin{document}
+\begin{tikzpicture}
+
+%% mantles
+
+% blue
+\fill[color=red](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
+\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
+% red
+\fill[color=red](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
+\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+% teal
+\fill[color=blue](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
+\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
+% magenta
+\fill[color=blue](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
+\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
+% orange
+\fill[color=blue](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
+\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+% green
+\fill[color=blue](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+
+
+%% segments
+
+\foreach \i in {9,...,14}{
+ \draw[color=red, line width=15pt](3.5,\i)--++(2,0);
+ \draw[color=red, line width=15pt](10.5,\i)--++(3,0);
+}
+
+\foreach \i in {22,...,29}{
+ \draw[color=blue, line width=15pt](10.5,\i)--++(2,0);
+ \draw[color=blue, line width=15pt](31.5,\i)--++(1,0);
+}
+
+\foreach \i in {23,...,26}{
+ \draw[color=blue, line width=15pt](\i,23.5)--++(0,1);
+ \draw[color=blue, line width=15pt](\i,26.5)--++(0,1);
+}
+
+%% grid
+\grid{36}{36}{[color=lightgray](0,0)}
+
+
+%% loops
+\draw[color=black, line width=5pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
+\draw[color=black, line width=5pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
+\draw[color=black, line width=5pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
+\draw[color=black, line width=5pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
+\draw[color=black, line width=5pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
+\draw[color=black, line width=5pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/figs/polymer_example.fig/libs/dimer.sty b/figs/polymer_example.fig/libs/dimer.sty
new file mode 120000
index 0000000..2d83c8a
--- /dev/null
+++ b/figs/polymer_example.fig/libs/dimer.sty
@@ -0,0 +1 @@
+../../libs/dimer.sty \ No newline at end of file
diff --git a/figs/polymer_example.fig/segments.tikz.tex b/figs/polymer_example.fig/segments.tikz.tex
new file mode 100644
index 0000000..9669e3b
--- /dev/null
+++ b/figs/polymer_example.fig/segments.tikz.tex
@@ -0,0 +1,132 @@
+\documentclass{standalone}
+
+\usepackage{tikz}
+\usepackage{dimer}
+
+\begin{document}
+\begin{tikzpicture}
+
+
+%% mantles
+
+% blue
+\fill[color=blue](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
+\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
+% red
+\fill[color=red](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
+\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+% teal
+\fill[color=teal](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
+\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
+% magenta
+\fill[color=magenta](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
+\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
+% cyan
+\fill[color=cyan](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
+\fill[color=white](24,13.5)--++(5,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+% orange
+\fill[color=orange](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
+\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+% green
+\fill[color=green](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+
+
+%% segments
+
+\foreach \i in {0,...,1}{
+ \draw[color=gray, line width=15pt](\i,-0.5)--++(0,37);
+}
+\foreach \i in {2,...,8}{
+ \draw[color=gray, line width=15pt](\i,-0.5)--++(0,7);
+ \draw[color=gray, line width=15pt](\i,15.5)--++(0,21);
+}
+\foreach \i in {9,...,15}{
+ \draw[color=gray, line width=15pt](\i,-0.5)--++(0,7);
+ \draw[color=gray, line width=15pt](\i,15.5)--++(0,4);
+ \draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
+}
+\foreach \i in {16,...,18}{
+ \draw[color=gray, line width=15pt](\i,-0.5)--++(0,20);
+ \draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
+}
+\foreach \i in {19,...,34}{
+ \draw[color=gray, line width=15pt](\i,-0.5)--++(0,9);
+ \draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
+}
+\foreach \i in {35,...,36}{
+ \draw[color=gray, line width=15pt](\i,-0.5)--++(0,37);
+}
+
+\draw[color=blue, line width=15pt](3.5,8)--++(10,0);
+\foreach \i in {9,...,14}{
+ \draw[color=blue, line width=15pt](3.5,\i)--++(2,0);
+ \draw[color=blue, line width=15pt](10.5,\i)--++(3,0);
+}
+
+\foreach \i in {7,...,9}{
+ \draw[color=red, line width=15pt](\i,10.5)--++(0,2);
+}
+
+\foreach \i in {10,...,11}{
+ \draw[color=teal, line width=15pt](20.5,\i)--++(12,0);
+}
+\foreach \i in {12,...,17}{
+ \draw[color=teal, line width=15pt](20.5,\i)--++(2,0);
+ \draw[color=teal, line width=15pt](30.5,\i)--++(2,0);
+}
+\foreach \i in {18,...,19}{
+ \draw[color=teal, line width=15pt](20.5,\i)--++(12,0);
+}
+\draw[color=teal, line width=15pt](18.5,20)--++(14,0);
+\draw[color=teal, line width=15pt](10.5,21)--++(22,0);
+\foreach \i in {22,...,29}{
+ \draw[color=teal, line width=15pt](10.5,\i)--++(2,0);
+ \draw[color=teal, line width=15pt](31.5,\i)--++(1,0);
+}
+\draw[color=teal, line width=15pt](10.5,30)--++(22,0);
+
+\foreach \i in {24,...,29}{
+ \draw[color=cyan, line width=15pt](\i,13.5)--++(0,2);
+}
+
+\draw[color=magenta, line width=15pt](14,23.5)--++(0,4);
+\foreach \i in {21,...,22}{
+ \draw[color=magenta, line width=15pt](\i,23.5)--++(0,4);
+}
+\foreach \i in {23,...,26}{
+ \draw[color=magenta, line width=15pt](\i,23.5)--++(0,1);
+ \draw[color=magenta, line width=15pt](\i,26.5)--++(0,1);
+}
+\foreach \i in {27,...,30}{
+ \draw[color=magenta, line width=15pt](\i,23.5)--++(0,4);
+}
+
+\foreach \i in {25,...,26}{
+ \draw[color=orange, line width=15pt](16.5,\i)--++(2,0);
+}
+
+
+
+%% grid
+\grid{36}{36}{[color=lightgray](0,0)}
+
+%% loops
+% blue
+\draw[color=black, line width=5pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
+% red
+\draw[color=black, line width=5pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
+% teal
+\draw[color=black, line width=5pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
+% magenta
+\draw[color=black, line width=5pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
+% cyan
+\draw[color=black, line width=5pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
+% orange
+\draw[color=black, line width=5pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
+%green
+\draw[color=black, line width=5pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
+
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/figs/regime.fig/Makefile b/figs/regime.fig/Makefile
new file mode 100644
index 0000000..9544dcc
--- /dev/null
+++ b/figs/regime.fig/Makefile
@@ -0,0 +1,26 @@
+PROJECTNAME=regime
+
+PDFS=$(addsuffix .pdf, $(PROJECTNAME))
+TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME))
+
+all: $(PDFS)
+
+$(PDFS):
+ gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@)
+ pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
+
+install: $(PDFS)
+ cp $^ $(INSTALLDIR)/
+
+clean-aux:
+ rm -f $(addsuffix .aux, $(PROJECTNAME))
+ rm -f $(addsuffix .log, $(PROJECTNAME))
+
+clean-dat:
+ rm -f $(addsuffix .tikz.tex, $(PROJECTNAME))
+ rm -f short-time.dat
+
+clean-tex:
+ rm -f $(PDFS)
+
+clean: clean-dat clean-aux clean-tex
diff --git a/figs/regime.fig/regime.gnuplot b/figs/regime.fig/regime.gnuplot
new file mode 100644
index 0000000..b105b56
--- /dev/null
+++ b/figs/regime.fig/regime.gnuplot
@@ -0,0 +1,31 @@
+set ylabel "J\\hskip10pt" norotate
+set xlabel "z"
+
+set xrange[0:2]
+set yrange [0:]
+
+unset xtics
+unset ytics
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 12.5,8.75 standalone
+
+set key off
+
+# 3=1+2 draw bottom and left sides of the box
+set border 3
+
+# set linestyle
+set style line 1 linetype rgbcolor "#4169E1" linewidth 3
+set style line 2 linetype rgbcolor "#DC143C" linewidth 3
+set style line 3 linetype rgbcolor "#32CD32" linewidth 3
+set style line 4 linetype rgbcolor "#4B0082" linewidth 3
+set style line 5 linetype rgbcolor "#DAA520" linewidth 3
+
+set pointsize 0.6
+
+set label "\\bf [HL79]" at 0.85,3.5 front textcolor "white"
+set label "\\bf [JL18]" at 1.65,3.5 front textcolor "white"
+
+plot (x<1 ? -log(x)+1 : 1) with filledcurves x2 linestyle 1 ,\
+ (x>1.5 ? x : 1/0) with filledcurves x2 linestyle 2
diff --git a/figs/smallest.fig/Makefile b/figs/smallest.fig/Makefile
new file mode 120000
index 0000000..704310e
--- /dev/null
+++ b/figs/smallest.fig/Makefile
@@ -0,0 +1 @@
+../libs/Makefile \ No newline at end of file
diff --git a/figs/smallest.fig/libs/dimer.sty b/figs/smallest.fig/libs/dimer.sty
new file mode 120000
index 0000000..2d83c8a
--- /dev/null
+++ b/figs/smallest.fig/libs/dimer.sty
@@ -0,0 +1 @@
+../../libs/dimer.sty \ No newline at end of file
diff --git a/figs/smallest.fig/smallest.tikz.tex b/figs/smallest.fig/smallest.tikz.tex
new file mode 100644
index 0000000..9fb62fc
--- /dev/null
+++ b/figs/smallest.fig/smallest.tikz.tex
@@ -0,0 +1,16 @@
+\documentclass{standalone}
+
+\usepackage{tikz}
+\usepackage{dimer}
+
+\begin{document}
+\begin{tikzpicture}
+
+\fill[color=gray](1,0.5)--++(1,0)--++(0.5,0.5)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--cycle;
+\draw[line width=15pt,color=gray](1,-2.5)--(1,1);
+\grid{3}{5}{[color=lightgray](0,-3)}
+\draw[color=black, line width=5pt](1,0.5)--++(1,0)--++(0.5,0.5)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--cycle;
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/libs/ian-presentation.cls b/libs/ian-presentation.cls
new file mode 100644
index 0000000..91bd487
--- /dev/null
+++ b/libs/ian-presentation.cls
@@ -0,0 +1,187 @@
+%%
+%% Ian's presentation class
+%%
+
+%% TeX format
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]
+
+%% class name
+\ProvidesClass{ian-presentation}[2017/09/29]
+
+\def\ian@defaultoptions{
+ \pagestyle{plain}
+ \RequirePackage{color}
+ \RequirePackage{amssymb}
+}
+
+%% paper dimensions
+\setlength\paperheight{240pt}
+\setlength\paperwidth{427pt}
+
+%% fonts
+\input{size11.clo}
+\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
+\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
+\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
+\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
+\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
+
+%% text dimensions
+\textheight=208pt
+\textwidth=370pt
+\hoffset=-1in
+\voffset=-1in
+\oddsidemargin=24pt
+\evensidemargin=24pt
+\topmargin=8pt
+\headheight=0pt
+\headsep=0pt
+\marginparsep=0pt
+\marginparwidth=0pt
+\footskip=16pt
+
+
+%% remove default skips
+\parindent=0pt
+\parskip=0pt
+\baselineskip=0pt
+
+%% something is wrong with \thepage, redefine it
+\gdef\thepage{\the\c@page}
+
+%% correct vertical alignment at the end of a document
+\AtEndDocument{
+ % save total slide count
+ \immediate\write\@auxout{\noexpand\gdef\noexpand\slidecount{\thepage}}
+ \vfill
+ \eject
+}
+
+
+%% footer
+\def\ps@plain{
+ \def\@oddhead{}
+ \def\@evenhead{\@oddhead}
+ \def\@oddfoot{\tiny\hfill\thepage/\safe\slidecount\hfill}
+ \def\@evenfoot{\@oddfoot}
+}
+\def\ps@empty{
+ \def\@oddhead{}
+ \def\@evenhead{\@oddhead}
+ \def\@oddfoot{}
+ \def\@evenfoot{\@oddfoot}
+}
+
+
+%% title of slide
+\def\title#1{
+ \hfil{\bf\large #1}\par
+ \hfil\vrule width0.75\textwidth height0.3pt\par
+ \vskip5pt
+}
+
+
+%% hyperlinks
+% hyperlinkcounter
+\newcounter{lncount}
+% hyperref anchor
+\def\hrefanchor{%
+\stepcounter{lncount}%
+\hypertarget{ln.\thelncount}{}%
+}
+
+%% define a command and write it to aux file
+\def\outdef#1#2{%
+ % define command%
+ \expandafter\xdef\csname #1\endcsname{#2}%
+ % hyperlink number%
+ \expandafter\xdef\csname #1@hl\endcsname{\thelncount}%
+ % write command to aux%
+ \immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1\endcsname{\csname #1\endcsname}}%
+ \immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1@hl\endcsname{\thelncount}}%
+}
+
+%% can call commands even when they are not defined
+\def\safe#1{%
+ \ifdefined#1%
+ #1%
+ \else%
+ {\color{red}\bf?}%
+ \fi%
+}
+
+
+%% itemize
+\newlength\itemizeskip
+% left margin for items
+\setlength\itemizeskip{20pt}
+\newlength\itemizeseparator
+% space between the item symbol and the text
+\setlength\itemizeseparator{5pt}
+% penalty preceding an itemize
+\def\itemizepenalty{0}
+% counter counting the itemize level
+\newcounter{itemizecount}
+
+% item symbol
+\def\itemizept#1{
+ \ifnum#1=1
+ \textbullet
+ \else
+ $\scriptstyle\blacktriangleright$
+ \fi
+}
+
+\newlength\current@itemizeskip
+\setlength\current@itemizeskip{0pt}
+\def\itemize{
+ \par\penalty\itemizepenalty\medskip\penalty\itemizepenalty
+ \addtocounter{itemizecount}{1}
+ \addtolength\current@itemizeskip{\itemizeskip}
+ \leftskip\current@itemizeskip
+}
+\def\enditemize{
+ \addtocounter{itemizecount}{-1}
+ \addtolength\current@itemizeskip{-\itemizeskip}
+ \par\leftskip\current@itemizeskip
+ \medskip
+}
+\newlength\itempt@total
+\def\item{
+ \settowidth\itempt@total{\itemizept\theitemizecount}
+ \addtolength\itempt@total{\itemizeseparator}
+ \par
+ \medskip
+ \hskip-\itempt@total\itemizept\theitemizecount\hskip\itemizeseparator
+}
+
+%% enumerate
+\newcounter{enumerate@count}
+\def\enumerate{
+ \setcounter{enumerate@count}0
+ \let\olditem\item
+ \let\olditemizept\itemizept
+ \def\item{
+ % counter
+ \stepcounter{enumerate@count}
+ % set header
+ \def\itemizept{\theenumerate@count.}
+ % hyperref anchor
+ \hrefanchor
+ % define tag (for \label)
+ \xdef\tag{\theenumerate@count}
+ \olditem
+ }
+ \itemize
+}
+\def\endenumerate{
+ \enditemize
+ \let\item\olditem
+ \let\itemizept\olditemizept
+}
+
+
+%% end
+\ian@defaultoptions
+
+\endinput