From 3c35cef0ee24d369d6793ce3ebcd002deab7f9b2 Mon Sep 17 00:00:00 2001 From: Ian Jauslin Date: Wed, 10 Mar 2021 17:14:51 -0500 Subject: As presented at IAS on 2021-03-10 --- figs/energy.fig/Makefile | 28 +++++++++ figs/energy.fig/erho.dat | 104 ++++++++++++++++++++++++++++++++ figs/energy.fig/erho_effective.gnuplot | 38 ++++++++++++ figs/energy.fig/erho_fulleq.dat | 100 ++++++++++++++++++++++++++++++ figs/energy.fig/erho_fulleq.gnuplot | 37 ++++++++++++ figs/energy.fig/erho_lowhigh.gnuplot | 37 ++++++++++++ figs/energy.fig/holzmann_2019-12-25.dat | 11 ++++ 7 files changed, 355 insertions(+) create mode 100644 figs/energy.fig/Makefile create mode 100644 figs/energy.fig/erho.dat create mode 100644 figs/energy.fig/erho_effective.gnuplot create mode 100644 figs/energy.fig/erho_fulleq.dat create mode 100644 figs/energy.fig/erho_fulleq.gnuplot create mode 100644 figs/energy.fig/erho_lowhigh.gnuplot create mode 100644 figs/energy.fig/holzmann_2019-12-25.dat (limited to 'figs/energy.fig') diff --git a/figs/energy.fig/Makefile b/figs/energy.fig/Makefile new file mode 100644 index 0000000..e8d3f12 --- /dev/null +++ b/figs/energy.fig/Makefile @@ -0,0 +1,28 @@ +PROJECTNAME=erho_effective erho_fulleq erho_lowhigh + +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) + +all: $(PDFS) + +$(PDFS): + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tex, $@) + pdflatex -file-line-error $(patsubst %.pdf, %.tex, $@) + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +$(LIBS): + ln -fs libs/$@ ./ + +clean-libs: + rm -f $(LIBS) + +clean-aux: + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + rm -f $(addsuffix .tex, $(PROJECTNAME)) + +clean-tex: + rm -f $(PDFS) + +clean: clean-libs clean-aux clean-tex diff --git a/figs/energy.fig/erho.dat b/figs/energy.fig/erho.dat new file mode 100644 index 0000000..837439f --- /dev/null +++ b/figs/energy.fig/erho.dat @@ -0,0 +1,104 @@ + # v(x)=exp(-|x|), order=100, tolerance=1e-14 + # + # rho energy + # + 1.00000000e-06 7.93445832e-06 + 1.20226443e-06 9.54545091e-06 + 1.44543977e-06 1.14842358e-05 + 1.73780083e-06 1.38177301e-05 + 2.08929613e-06 1.66265809e-05 + 2.51188643e-06 2.00080034e-05 + 3.01995172e-06 2.40792133e-05 + 3.63078055e-06 2.89815779e-05 + 4.36515832e-06 3.48856405e-05 + 5.24807460e-06 4.19972045e-05 + 6.30957344e-06 5.05647046e-05 + 7.58577575e-06 6.08881446e-05 + 9.12010839e-06 7.33299394e-05 + 1.09647820e-05 8.83280780e-05 + 1.31825674e-05 1.06412115e-04 + 1.58489319e-05 1.28222614e-04 + 1.90546072e-05 1.54534805e-04 + 2.29086765e-05 1.86287394e-04 + 2.75422870e-05 2.24617677e-04 + 3.31131121e-05 2.70904370e-04 + 3.98107171e-05 3.26819905e-04 + 4.78630092e-05 3.94394317e-04 + 5.75439937e-05 4.76093386e-04 + 6.91830971e-05 5.74914264e-04 + 8.31763771e-05 6.94502595e-04 + 1.00000000e-04 8.39296065e-04 + 1.20226443e-04 1.01470042e-03 + 1.44543977e-04 1.22730542e-03 + 1.73780083e-04 1.48514988e-03 + 2.08929613e-04 1.79804690e-03 + 2.51188643e-04 2.17798310e-03 + 3.01995172e-04 2.63960836e-03 + 3.63078055e-04 3.20083623e-03 + 4.36515832e-04 3.88357954e-03 + 5.24807460e-04 4.71465030e-03 + 6.30957344e-04 5.72685888e-03 + 7.58577575e-04 6.96035420e-03 + 9.12010839e-04 8.46425370e-03 + 1.09647820e-03 1.02986208e-02 + 1.31825674e-03 1.25368572e-02 + 1.58489319e-03 1.52685874e-02 + 1.90546072e-03 1.86031268e-02 + 2.29086765e-03 2.26736380e-02 + 2.75422870e-03 2.76420977e-02 + 3.31131121e-03 3.37052167e-02 + 3.98107171e-03 4.11014850e-02 + 4.78630092e-03 5.01195435e-02 + 5.75439937e-03 6.11081308e-02 + 6.91830971e-03 7.44879092e-02 + 8.31763771e-03 9.07655413e-02 + 1.00000000e-02 1.10550483e-01 + 1.20226443e-02 1.34575061e-01 + 1.44543977e-02 1.63718539e-01 + 1.73780083e-02 1.99036030e-01 + 2.08929613e-02 2.41793284e-01 + 2.51188643e-02 2.93508614e-01 + 3.01995172e-02 3.56003446e-01 + 3.63078055e-02 4.31463277e-01 + 4.36515832e-02 5.22511186e-01 + 5.24807460e-02 6.32296416e-01 + 6.30957344e-02 7.64601077e-01 + 7.58577575e-02 9.23968602e-01 + 9.12010839e-02 1.11585830e+00 + 1.09647820e-01 1.34683126e+00 + 1.31825674e-01 1.62477387e+00 + 1.58489319e-01 1.95916654e+00 + 1.90546072e-01 2.36140673e+00 + 2.29086765e-01 2.84519724e+00 + 2.75422870e-01 3.42701297e+00 + 3.31131121e-01 4.12666196e+00 + 3.98107171e-01 4.96795983e+00 + 4.78630092e-01 5.97954056e+00 + 5.75439937e-01 7.19583118e+00 + 6.91830971e-01 8.65822353e+00 + 8.31763771e-01 1.04164830e+01 + 1.00000000e+00 1.25304420e+01 + 1.20226443e+00 1.50720365e+01 + 1.44543977e+00 1.81277534e+01 + 1.73780083e+00 2.18015742e+01 + 2.08929613e+00 2.62185132e+01 + 2.51188643e+00 3.15288712e+01 + 3.01995172e+00 3.79133506e+01 + 3.63078055e+00 4.55892039e+01 + 4.36515832e+00 5.48176270e+01 + 5.24807460e+00 6.59126465e+01 + 6.30957344e+00 7.92518063e+01 + 7.58577575e+00 9.52890139e+01 + 9.12010839e+00 1.14569987e+02 + 1.09647820e+01 1.37750822e+02 + 1.31825674e+01 1.65620322e+02 + 1.58489319e+01 1.99126836e+02 + 1.90546072e+01 2.39410530e+02 + 2.29086765e+01 2.87842186e+02 + 2.75422870e+01 3.46069846e+02 + 3.31131121e+01 4.16074894e+02 + 3.98107171e+01 5.00239474e+02 + 4.78630092e+01 6.01427558e+02 + 5.75439937e+01 7.23082394e+02 + 6.91830971e+01 8.69343678e+02 + 8.31763771e+01 1.04518842e+03 diff --git a/figs/energy.fig/erho_effective.gnuplot b/figs/energy.fig/erho_effective.gnuplot new file mode 100644 index 0000000..f26252e --- /dev/null +++ b/figs/energy.fig/erho_effective.gnuplot @@ -0,0 +1,38 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +set ytics 8,1 +set mytics 2 + +set xrange [0.000001:100] +set yrange [7.5:13.5] + +# 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 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 1 + +set logscale x + +a=1.25435641059 + +set label at 0.0001,2*pi*a*1.03 "LHY" textcolor "#DAA520" +set label at 0.1,4.1*pi "Hartree" textcolor "#32CD32" + +plot "erho.dat" using 1:($2/$1) with lines linestyle 1 ,\ + 2*pi*a*(1+128/15/sqrt(pi)*sqrt(x*a**3)) linestyle 5 dashtype "." ,\ + 4*pi linestyle 3 dashtype "." diff --git a/figs/energy.fig/erho_fulleq.dat b/figs/energy.fig/erho_fulleq.dat new file mode 100644 index 0000000..351d1b9 --- /dev/null +++ b/figs/energy.fig/erho_fulleq.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 7.943042518656766e-06 0 + 1.202264434617413e-06 9.550219866068997e-06 0 + 1.445439770745928e-06 1.148608224097378e-05 1 + 1.737800828749376e-06 1.381647407426905e-05 1 + 2.089296130854041e-06 1.662160583174429e-05 0 + 2.511886431509582e-06 2.000065135391551e-05 0 + 3.019951720402019e-06 2.406839054942614e-05 0 + 3.630780547701017e-06 2.896662133595565e-05 1 + 4.365158322401657e-06 3.486570260772683e-05 1 + 5.248074602497723e-06 4.197087478032896e-05 1 + 6.309573444801930e-06 5.052956242205629e-05 1 + 7.585775750291836e-06 6.084048678334965e-05 1 + 9.120108393559096e-06 7.326450648917462e-05 1 + 1.096478196143185e-05 8.823760552067889e-05 1 + 1.318256738556407e-05 1.062866339996179e-04 1 + 1.584893192461114e-05 1.280484412743087e-04 1 + 1.905460717963248e-05 1.542931396948374e-04 1 + 2.290867652767775e-05 1.859523935537466e-04 1 + 2.754228703338163e-05 2.241538298379074e-04 1 + 3.311311214825908e-05 2.702629184292266e-04 1 + 3.981071705534969e-05 3.259339774051344e-04 1 + 4.786300923226380e-05 3.931723354869787e-04 1 + 5.754399373371566e-05 4.744101435386617e-04 1 + 6.918309709189363e-05 5.725988899895806e-04 1 + 8.317637711026709e-05 6.913223659756494e-04 1 + 1.000000000000000e-04 8.349346745163116e-04 1 + 1.202264434617413e-04 1.008728918608530e-03 1 + 1.445439770745928e-04 1.219143475424315e-03 1 + 1.737800828749376e-04 1.474014314386416e-03 1 + 2.089296130854039e-04 1.782883700975914e-03 1 + 2.511886431509580e-04 2.157377911005317e-03 1 + 3.019951720402016e-04 2.611669336976909e-03 1 + 3.630780547701014e-04 3.163041683927843e-03 1 + 4.365158322401661e-04 3.832580921405091e-03 1 + 5.248074602497728e-04 4.646019387820095e-03 1 + 6.309573444801930e-04 5.634766055532872e-03 1 + 7.585775750291835e-04 6.837162598523666e-03 1 + 9.120108393559096e-04 8.300012713479526e-03 1 + 1.096478196143185e-03 1.008044129788173e-02 1 + 1.318256738556408e-03 1.224815077758103e-02 1 + 1.584893192461114e-03 1.488815434797412e-02 1 + 1.905460717963246e-03 1.810408049926405e-02 1 + 2.290867652767772e-03 2.202216044849479e-02 1 + 2.754228703338166e-03 2.679603069994577e-02 1 + 3.311311214825911e-03 3.261250778551406e-02 1 + 3.981071705534973e-03 3.969852233927642e-02 1 + 4.786300923226385e-03 4.832943621884326e-02 1 + 5.754399373371567e-03 5.883901075761193e-02 1 + 6.918309709189363e-03 7.163134806415740e-02 1 + 8.317637711026709e-03 8.719519272244317e-02 1 + 1.000000000000000e-02 1.061210611088454e-01 1 + 1.202264434617413e-02 1.291217632376783e-01 1 + 1.445439770745928e-02 1.570570011615084e-01 1 + 1.737800828749376e-02 1.909628719282619e-01 1 + 2.089296130854041e-02 2.320872756251715e-01 1 + 2.511886431509582e-02 2.819324351385837e-01 1 + 3.019951720402019e-02 3.423059810454135e-01 1 + 3.630780547701010e-02 4.153823512868898e-01 1 + 4.365158322401656e-02 5.037766102499891e-01 1 + 5.248074602497723e-02 6.106332154610473e-01 1 + 6.309573444801930e-02 7.397327648968161e-01 1 + 7.585775750291836e-02 8.956203622431048e-01 1 + 9.120108393559097e-02 1.083759966304908e+00 1 + 1.096478196143185e-01 1.310719973979596e+00 1 + 1.318256738556407e-01 1.584396355238566e+00 1 + 1.584893192461114e-01 1.914280945866737e+00 1 + 1.905460717963248e-01 2.311784046064119e+00 1 + 2.290867652767775e-01 2.790622317703228e+00 1 + 2.754228703338169e-01 3.367285183378040e+00 1 + 3.311311214825908e-01 4.061595587917465e+00 1 + 3.981071705534969e-01 4.897384186423424e+00 1 + 4.786300923226380e-01 5.903299886083452e+00 1 + 5.754399373371566e-01 7.113784322007290e+00 1 + 6.918309709189363e-01 8.570243441380599e+00 1 + 8.317637711026709e-01 1.032245608693097e+01 1 + 1.000000000000000e+00 1.243026753303222e+01 1 + 1.202264434617413e+00 1.496562561057760e+01 1 + 1.445439770745928e+00 1.801502869576436e+01 1 + 1.737800828749376e+00 2.168246883802093e+01 1 + 2.089296130854041e+00 2.609297014699965e+01 1 + 2.511886431509582e+00 3.139684282320142e+01 1 + 3.019951720402019e+00 3.777479758723231e+01 1 + 3.630780547701010e+00 4.544409456028400e+01 1 + 4.365158322401657e+00 5.466593586138625e+01 1 + 5.248074602497723e+00 6.575435350738108e+01 1 + 6.309573444801930e+00 7.908689506783082e+01 1 + 7.585775750291836e+00 9.511747067219883e+01 1 + 9.120108393559097e+00 1.143917984731058e+02 1 + 1.096478196143185e+01 1.375659740282897e+02 1 + 1.318256738556407e+01 1.654287952107530e+02 1 + 1.584893192461114e+01 1.989286012247062e+02 1 + 1.905460717963248e+01 2.392055363411829e+02 0 + 2.290867652767775e+01 2.876303621855438e+02 0 + 2.754228703338169e+01 3.458511552270688e+02 0 + 3.311311214825908e+01 4.158492765508882e+02 0 + 3.981071705534969e+01 5.000067330413117e+02 0 + 4.786300923226381e+01 6.011878314695363e+02 0 + 5.754399373371567e+01 7.228352310513908e+02 0 + 6.918309709189363e+01 8.690894472935229e+02 0 + 8.317637711026708e+01 1.044926046890143e+03 0 diff --git a/figs/energy.fig/erho_fulleq.gnuplot b/figs/energy.fig/erho_fulleq.gnuplot new file mode 100644 index 0000000..2927ead --- /dev/null +++ b/figs/energy.fig/erho_fulleq.gnuplot @@ -0,0 +1,37 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +set ytics 8,1 +set mytics 2 + +set xrange [0.000001:100] +set yrange [7.5:13.5] + +# 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 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 1 + +set logscale x + +a=1.25435641059 + +plot "erho.dat" using 1:($2/$1) with lines linestyle 1 ,\ + "erho_fulleq.dat" using 1:($2/$1) with lines linestyle 4 ,\ + 2*pi*a*(1+128/15/sqrt(pi)*sqrt(x*a**3)) linestyle 5 dashtype "." ,\ + 4*pi linestyle 3 dashtype "." ,\ + "holzmann_2019-12-25.dat" using 1:($2/$1) with points linestyle 2 diff --git a/figs/energy.fig/erho_lowhigh.gnuplot b/figs/energy.fig/erho_lowhigh.gnuplot new file mode 100644 index 0000000..9d2a590 --- /dev/null +++ b/figs/energy.fig/erho_lowhigh.gnuplot @@ -0,0 +1,37 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +set ytics 8,1 +set mytics 2 + +set xrange [0.000001:100] +set yrange [7.5:13.5] + +# 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 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 1 + +set logscale x + +a=1.25435641059 + +set label at 0.0001,2*pi*a*1.03 "LHY" textcolor "#DAA520" +set label at 0.1,4.1*pi "Hartree" textcolor "#32CD32" + +plot 2*pi*a*(1+128/15/sqrt(pi)*sqrt(x*a**3)) linestyle 5 dashtype "." ,\ + 4*pi linestyle 3 dashtype "." diff --git a/figs/energy.fig/holzmann_2019-12-25.dat b/figs/energy.fig/holzmann_2019-12-25.dat new file mode 100644 index 0000000..96689cb --- /dev/null +++ b/figs/energy.fig/holzmann_2019-12-25.dat @@ -0,0 +1,11 @@ +## data from M. Holzmann, 2019-09-22 +# rho E0 n0 +1e-6 7.902e-6 +1e-4 8.3441e-4 0.0171 +1e-3 9.13384e-3 0.0481 +1e-2 1.061073e-1 0.0871 +1e-1 1.19182e+0 0.0851 +1e-0 1.24302e+1 0.0587 +1e+1 1.25442e+2 0.0319 +5e+1 6.28032e+2 0.021 + -- cgit v1.2.3-54-g00ecf