Ian Jauslin
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authorIan Jauslin <ian@jauslin.org>2020-11-25 01:10:59 -0500
committerIan Jauslin <ian@jauslin.org>2020-11-25 01:10:59 -0500
commit19042107cb35092c674517c8bfe476f1a66c5874 (patch)
tree9e5ae8130aa873c3f77f9819e3605112255fb785 /figs/tan.fig
Initial commitv0.0
Diffstat (limited to 'figs/tan.fig')
-rw-r--r--figs/tan.fig/Makefile35
-rw-r--r--figs/tan.fig/tan4.gnuplot48
-rw-r--r--figs/tan.fig/tan7.gnuplot48
3 files changed, 131 insertions, 0 deletions
diff --git a/figs/tan.fig/Makefile b/figs/tan.fig/Makefile
new file mode 100644
index 0000000..02ea899
--- /dev/null
+++ b/figs/tan.fig/Makefile
@@ -0,0 +1,35 @@
+PROJECTNAME=tan7 tan4
+
+SIMPLEQ=simpleq
+
+DATS=bigeq7.dat bigeq4.dat
+PDFS=$(addsuffix .pdf, $(PROJECTNAME))
+TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME))
+
+all: $(PDFS)
+
+$(PDFS): $(DATS)
+ gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@)
+ pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
+
+bigeq7.dat:
+ julia $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;J=10;maxiter=100;v_a=1;rho=1e-7;minlrho=-7;nlrho=1" -M medeq momentum_distribution > $@
+bigeq4.dat:
+ julia $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;J=10;maxiter=100;v_a=1;rho=1e-4;minlrho=-4;nlrho=1" -M medeq momentum_distribution > $@
+
+install: $(PDFS)
+ cp $^ $(INSTALLDIR)/
+
+clean-aux:
+ rm -f $(addsuffix .tikz.tex, $(PROJECTNAME))
+ rm -f $(addsuffix .aux, $(PROJECTNAME))
+ rm -f $(addsuffix .log, $(PROJECTNAME))
+ rm -f fit.log
+
+clean-dat:
+ rm -f $(DATS)
+
+clean-tex:
+ rm -f $(PDFS)
+
+clean: clean-aux clean-tex
diff --git a/figs/tan.fig/tan4.gnuplot b/figs/tan.fig/tan4.gnuplot
new file mode 100644
index 0000000..f1424b6
--- /dev/null
+++ b/figs/tan.fig/tan4.gnuplot
@@ -0,0 +1,48 @@
+set title "$\\rho=10^{-4}$"
+set ylabel norotate "$\\tilde{\\mathcal M}$"
+set xlabel "$|\\mathbf k|$"
+
+set xtics 1e-3, 100, 1e3
+set xtics add ("$10^{-3}$" 0.001, "$10^{-1}$" 1e-1, "$10^{1}$" 10, "$10^{3}$" 1000)
+unset mxtics
+set xrange [1e-3:2e3]
+
+set ytics 1e-40, 1e10, 1
+set ytics add ("$10^{-40}$" 1e-40, "$10^{-30}$" 1e-30, "$10^{-20}$" 1e-20, "$10^{-10}$" 1e-10)
+unset mytics
+set yrange [1e-41:1e10]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+set key off
+
+
+# set linestyle
+set style line 1 linetype rgbcolor "#4169E1" linewidth 3
+set style line 2 linetype rgbcolor "#DC143C" linewidth 2
+set style line 3 linetype rgbcolor "#32CD32" linewidth 2
+set style line 4 linetype rgbcolor "#4B0082" linewidth 3
+set style line 5 linetype rgbcolor "#DAA520" linewidth 3
+set style line 6 linetype rgbcolor "#660000" linewidth 3
+set style line 7 linetype rgbcolor "#003333" linewidth 3
+
+set pointsize 1
+
+set logscale xy
+
+f(x)=a-4*x
+g(x)=c-12*x
+
+fit [-2:-1] f(x) "bigeq4.dat" u (log10($1)):(log10(abs($2))) via a
+fit [1:] g(x) "bigeq4.dat" u (log10($1)):(log10(abs($2))) via c
+
+set label "$|\\mathbf k|^{-4}$" at 1e-2,10**(a) textcolor "#660000"
+set label "$|\\mathbf k|^{-12}$" at 1e2,10**(c-22) textcolor "#003333"
+
+plot \
+ "bigeq4.dat" using 1:(abs($2)) every::2::118 with lines ls 5 ,\
+ 10**(f(log10(x))) ls 6 dashtype "." ,\
+ 10**(g(log10(x))) ls 7 dashtype "." ,\
+
+
diff --git a/figs/tan.fig/tan7.gnuplot b/figs/tan.fig/tan7.gnuplot
new file mode 100644
index 0000000..6ccda8b
--- /dev/null
+++ b/figs/tan.fig/tan7.gnuplot
@@ -0,0 +1,48 @@
+set title "$\\rho=10^{-7}$"
+set ylabel norotate "$\\tilde{\\mathcal M}$"
+set xlabel "$|\\mathbf k|$"
+
+set xtics 1e-3, 1000, 1e6
+set xtics add ("$10^{-3}$" 0.001, "$10^{0}$" 1, "$10^{3}$" 1000, "$10^6$" 1000000)
+unset mxtics
+set xrange [1e-3:1000000]
+
+set ytics 1e-60, 1e20, 1
+set ytics add ("$10^{-60}$" 1e-60, "$10^{-40}$" 1e-40, "$10^{-20}$" 1e-20)
+unset mytics
+set yrange [1e-61:1e10]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+set key off
+
+
+# set linestyle
+set style line 1 linetype rgbcolor "#4169E1" linewidth 3
+set style line 2 linetype rgbcolor "#DC143C" linewidth 2
+set style line 3 linetype rgbcolor "#32CD32" linewidth 2
+set style line 4 linetype rgbcolor "#4B0082" linewidth 3
+set style line 5 linetype rgbcolor "#DAA520" linewidth 3
+set style line 6 linetype rgbcolor "#660000" linewidth 3
+set style line 7 linetype rgbcolor "#003333" linewidth 3
+
+set pointsize 1
+
+set logscale xy
+
+f(x)=a-4*x
+g(x)=c-12*x
+
+fit [-2:-1] f(x) "bigeq7.dat" u (log10($1)):(log10(abs($2))) via a
+fit [1:] g(x) "bigeq7.dat" u (log10($1)):(log10(abs($2))) via c
+
+set label "$|\\mathbf k|^{-4}$" at 1e-2,10**(a-4) textcolor "#660000"
+set label "$|\\mathbf k|^{-12}$" at 1e3,10**(c-34) textcolor "#003333"
+
+plot \
+ "bigeq7.dat" using 1:(abs($2)) with lines ls 5 ,\
+ 10**(f(log10(x))) ls 6 dashtype "." ,\
+ 10**(g(log10(x))) ls 7 dashtype "." ,\
+
+