From 274461609b5d1f5bb272be9be95d0544ce4df31b Mon Sep 17 00:00:00 2001 From: Ian Jauslin Date: Wed, 3 Oct 2018 17:58:38 +0000 Subject: As presented at Harvard University on 2018-10-03 --- figs/atoms.fig/Makefile | 15 ++ figs/atoms.fig/chiral-base.gp | 22 ++ figs/atoms.fig/chiral.py | 102 +++++++++ figs/atoms.fig/crystal-base.gp | 21 ++ figs/atoms.fig/crystal.py | 24 +++ figs/atoms.fig/gas-base.gp | 21 ++ figs/atoms.fig/gas.py | 39 ++++ figs/atoms.fig/liquid-base.gp | 21 ++ figs/atoms.fig/liquid.py | 39 ++++ figs/atoms.fig/nematic-base.gp | 21 ++ figs/atoms.fig/nematic.py | 90 ++++++++ figs/dimer_example.fig/Makefile | 32 +++ figs/dimer_example.fig/dimer_conf.py | 321 +++++++++++++++++++++++++++++ figs/dimer_example.fig/libs/dimer.sty | 1 + figs/libs/Makefile | 25 +++ figs/libs/dimer.sty | 33 +++ figs/polymer_example.fig/Makefile | 1 + figs/polymer_example.fig/contours.tikz.tex | 61 ++++++ figs/polymer_example.fig/libs/dimer.sty | 1 + figs/polymer_example.fig/segments.tikz.tex | 132 ++++++++++++ figs/regime.fig/Makefile | 26 +++ figs/regime.fig/regime.gnuplot | 31 +++ figs/smallest.fig/Makefile | 1 + figs/smallest.fig/libs/dimer.sty | 1 + figs/smallest.fig/smallest.tikz.tex | 16 ++ 25 files changed, 1097 insertions(+) create mode 100644 figs/atoms.fig/Makefile create mode 100644 figs/atoms.fig/chiral-base.gp create mode 100644 figs/atoms.fig/chiral.py create mode 100644 figs/atoms.fig/crystal-base.gp create mode 100644 figs/atoms.fig/crystal.py create mode 100644 figs/atoms.fig/gas-base.gp create mode 100644 figs/atoms.fig/gas.py create mode 100644 figs/atoms.fig/liquid-base.gp create mode 100644 figs/atoms.fig/liquid.py create mode 100644 figs/atoms.fig/nematic-base.gp create mode 100644 figs/atoms.fig/nematic.py create mode 100644 figs/dimer_example.fig/Makefile create mode 100644 figs/dimer_example.fig/dimer_conf.py create mode 120000 figs/dimer_example.fig/libs/dimer.sty create mode 100644 figs/libs/Makefile create mode 100644 figs/libs/dimer.sty create mode 120000 figs/polymer_example.fig/Makefile create mode 100644 figs/polymer_example.fig/contours.tikz.tex create mode 120000 figs/polymer_example.fig/libs/dimer.sty create mode 100644 figs/polymer_example.fig/segments.tikz.tex create mode 100644 figs/regime.fig/Makefile create mode 100644 figs/regime.fig/regime.gnuplot create mode 120000 figs/smallest.fig/Makefile create mode 120000 figs/smallest.fig/libs/dimer.sty create mode 100644 figs/smallest.fig/smallest.tikz.tex (limited to 'figs') 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])-21 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)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)=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]=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) + +pirogov_sinai=init_tikz("dimer_pirogov_sinai.tikz.tex") +print("\\begin{scope}", file=pirogov_sinai) +print(" \\clip", end="", file=pirogov_sinai) +for e in loop1: + print("("+str(e[0])+","+str(e[1])+")--", end="", file=pirogov_sinai) +print("cycle;",file=pirogov_sinai) +print(" \\fill[color=white]("+str(mu-2*l0-2)+","+str(mu-7)+")--++("+str(4*l0+3)+",0)--++(0,13)--++("+str(-4*l0-3)+",0);", file=pirogov_sinai) +print(" \\fill[color=cyan]", end="", file=pirogov_sinai) +for e in core_loop1: + print("("+str(e[0])+","+str(e[1])+")--", end="", file=pirogov_sinai) +print("cycle;",file=pirogov_sinai) +print("\\end{scope}\n", file=pirogov_sinai) +print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=pirogov_sinai) +draw_loops([loop1],pirogov_sinai,"blue") +draw_interactions(v_interactions,[],pirogov_sinai) +draw_dimers(v_dimers,[],pirogov_sinai,"black") +draw_dimers([],h_mantle,pirogov_sinai,"black") +close_tikz(pirogov_sinai) + +pirogov_sinai_preflip=init_tikz("dimer_pirogov_sinai_preflip.tikz.tex") +print("\\begin{scope}", file=pirogov_sinai_preflip) +print(" \\clip", end="", file=pirogov_sinai_preflip) +for e in loop1: + print("("+str(e[0])+","+str(e[1])+")--", end="", file=pirogov_sinai_preflip) +print("cycle;",file=pirogov_sinai_preflip) +print(" \\fill[color=white]("+str(mu-2*l0-2)+","+str(mu-7)+")--++("+str(4*l0+3)+",0)--++(0,13)--++("+str(-4*l0-3)+",0);", file=pirogov_sinai_preflip) +print(" \\fill[color=cyan]", end="", file=pirogov_sinai_preflip) +for e in core_loop1: + print("("+str(e[0])+","+str(e[1])+")--", end="", file=pirogov_sinai_preflip) +print("cycle;",file=pirogov_sinai_preflip) +print("\\end{scope}\n", file=pirogov_sinai_preflip) +print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=pirogov_sinai_preflip) +draw_loops([loop1],pirogov_sinai_preflip,"blue") +draw_dimers([],h_mantle,pirogov_sinai_preflip,"black") +close_tikz(pirogov_sinai_preflip) + +pirogov_sinai_flip=init_tikz("dimer_pirogov_sinai_flip.tikz.tex") +print("\\begin{scope}", file=pirogov_sinai_flip) +print(" \\clip", end="", file=pirogov_sinai_flip) +for e in loop1: + print("("+str(e[0])+","+str(e[1])+")--", end="", file=pirogov_sinai_flip) +print("cycle;",file=pirogov_sinai_flip) +print(" \\fill[color=white]("+str(mu-2*l0-2)+","+str(mu-7)+")--++("+str(4*l0+3)+",0)--++(0,13)--++("+str(-4*l0-3)+",0);", file=pirogov_sinai_flip) +print(" \\fill[color=cyan]", end="", file=pirogov_sinai_flip) +for e in core_loop1: + print("("+str(e[0])+","+str(e[1])+")--", end="", file=pirogov_sinai_flip) +print("cycle;",file=pirogov_sinai_flip) +print("\\end{scope}\n", file=pirogov_sinai_flip) +print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=pirogov_sinai_flip) +draw_loops([loop1],pirogov_sinai_flip,"blue") +draw_dimers(flip_mantle,[],pirogov_sinai_flip,"black") +close_tikz(pirogov_sinai_flip) 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} + -- cgit v1.2.3-70-g09d2