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Julia/Ising/Monte Carlo simulation of the 2D Potts model - Part 2.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Monte Carlo simulation of the 2D Potts model - Part 2\n\nGen Kuroki\n\n2017-08-15 Ver.0.1 (2017-08-15 created)\n\n**The Wolff method**\n\n**Triangular lattice**\n\n**Reference**\n\n* http://www.stat.unc.edu/faculty/cji/Sokal.pdf"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nrc(\"font\", size=8)\nrc(\"figure\", figsize=(3,3))\n\nusing PyCall\n@show PyDict(matplotlib[\"rcParams\"])[\"font.size\"]\n@show PyDict(matplotlib[\"rcParams\"])[\"figure.figsize\"];",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": "(PyDict(matplotlib[\"rcParams\"]))[\"font.size\"] = 8.0\n(PyDict(matplotlib[\"rcParams\"]))[\"figure.figsize\"] = Any[3.0, 3.0]\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function neighbor_square(m::Integer, n::Integer)\n ndirs = 4\n nbr = Array{Tuple{Integer,Integer},3}(ndirs,m,n)\n for x in 1:m\n for y in 1:n\n nbr[1,x,y] = (mod1(x-1,m), y)\n nbr[2,x,y] = (mod1(x+1,m), y)\n nbr[3,x,y] = (x, mod1(y-1,n))\n nbr[4,x,y] = (x, mod1(y+1,n))\n end\n end\n return nbr, ndirs\nend\n\nfunction neighbor_tiangular(m::Integer, n::Integer)\n ndirs = 6\n nbr = Array{Tuple{Integer,Integer},3}(ndirs,m,n)\n for x in 1:m\n for y in 1:n\n nbr[1,x,y] = (mod1(x-1,m), y)\n nbr[2,x,y] = (mod1(x+1,m), y)\n nbr[3,x,y] = (x, mod1(y-1,n))\n nbr[4,x,y] = (x, mod1(y+1,n))\n nbr[5,x,y] = (mod1(x-1,m), mod1(y-1,n))\n nbr[6,x,y] = (mod1(x+1,m), mod1(y+1,n))\n end\n end\n return nbr, ndirs\nend\n\nfunction Potts2dNeachcolor(q::Integer, sigma::AbstractArray{Int64,2})\n return [length(filter(x->x==c, sigma)) for c in 1:q]\nend\n\n### MCMC simulation by the Wolff method\n#\nfunction Potts2dWolff(\n q::Integer,\n init::Array{Int64,2},\n beta::Float64,\n niters::Integer,\n burnin::Integer,\n thin::Integer;\n maxtotalms::Integer = 10^7,\n latticetype = \"\"\n )\n\n m, n = size(init)\n cb = Array{Bool,2}(m,n)\n cx = Array{Integer}(m*n)\n cy = similar(cx)\n \n # nbr[:,x,y] is the array of the neighbors of (x,y)\n if latticetype == \"triangular\"\n nbr, ndirs = neighbor_tiangular(m, n)\n println(\"lattice type: triangular\")\n elseif latticetype == \"square\"\n nbr, ndirs = neighbor_square(m, n)\n println(\"lattice type: square\")\n else\n nbr, ndirs = neighbor_square(m, n)\n println(\"lattice type: square\")\n println(\"possible types are \\\"square\\\" and \\\"triangular\\\".\")\n end\n \n # total energy\n #\n function Potts2dEnergy(sigma::AbstractArray{Int64,2})\n m, n = size(sigma)\n E = 0.0\n for x in 1:m\n for y in 1:n\n for d in 1:ndirs\n E += ifelse(sigma[x,y] != sigma[nbr[d,x,y][1], nbr[d,x,y][2]], 1.0, 0.0)\n end\n end\n end\n return E\n end\n \n # Wolff Update\n #\n function Potts2dWolffUpdate!(q::Integer, sigma::AbstractArray{Int64,2}, beta::Float64, N::Integer)\n p = exp(-beta)\n local ms::Integer = 0 # number of modified sites\n for Niter in 1:N\n fill!(cb, false)\n k = 1\n cx[k], cy[k] = rand(1:m), rand(1:n) # location of seed\n cb[cx[k],cy[k]] = true # cn[x,y] is true iff (x,y) is in cluster\n ss = sigma[cx[k],cy[k]] # state of seed\n cs0 = 0\n cs1 = k # cluster size\n while cs0 < cs1\n for i in cs0+1:cs1\n for d in 1:ndirs\n x, y = nbr[d,cx[i],cy[i]]\n if sigma[x,y] != ss || cb[x,y] == true || rand() < p; continue; end\n k += 1\n cx[k], cy[k] = x, y\n cb[x,y] = true\n end\n end\n cs0 = cs1\n cs1 = k\n end\n s = mod1(rand(1:q-1)+ss,q)\n for i in 1:cs1\n sigma[cx[i],cy[i]] = s\n end\n ms += cs1\n end\n return (Potts2dEnergy(sigma), maximum(Potts2dNeachcolor(q,sigma)), ms)\n end\n \n N = div(niters, thin)\n @printf(\"N = %d\\n\", N)\n S = Array{Int64,3}(m,n,N+1)\n maxnc = maximum(Potts2dNeachcolor(q,init)) \n E = Potts2dEnergy(init)\n totalms = 0 # number of total modified sites\n @printf(\"initial value: maxnc = %d, E = %.0f\\n\", maxnc, E)\n t = 0\n S[:,:,t+1] = init\n E, maxnc, ms = Potts2dWolffUpdate!(q, (@view S[:,:,t+1]), beta, burnin)\n totalms += ms\n @printf(\"after burnin: maxnc = %d, E = %.0f, totalms = %d\\n\", maxnc, E, totalms)\n for t in 1:N\n S[:,:,t+1] = @view S[:,:,t]\n E, maxnc, ms = Potts2dWolffUpdate!(q, (@view S[:,:,t+1]), beta, thin)\n totalms += ms\n if mod(t, div(N,16)) == 0\n @printf(\"t = %d, maxnc = %d, E = %.0f, totalms = %d\\n\", t, maxnc, E, totalms)\n end\n if totalms ≥ maxtotalms || maxnc == m*n\n @printf(\"breaked: t = %d, maxnc = %d, E = %.0f, totalcs = %d\\n\", t, maxnc, E, totalms)\n break\n end\n end\n return S[:,:,1:t+1]\nend",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "Potts2dWolff (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using Roots\n\nf(y) = y^3+3y^2-q\n#f(y) = y^3+3*q*y-q^2\nq=4\n@show y = fzero(f, 0)\nplot(0:0.1:y+1, f.(0:0.1:y+1))\nf(0),f(y), f(q)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "y = fzero(f, 0) = ",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002A791A90>)",
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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "1.0\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "(-4, 0.0, 108)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "### Critical inverse temperature of q-state 2D Potts model \n#\n# https://www.google.co.jp/search?q=Potts+model+triangular-lattice+log(1%2B%E2%88%9Aq)\n\nusing Roots\n\nbetacritical_square(q) = log(1+sqrt(q))\n\nfunction betacritical_triangular(q)\n ycritical = fzero(y->y^3+3y^2-q,0)\n return log(1+ycritical)\nend\n\nfunction betacritical_hexagonal(q)\n ycritical = fzero(y->y^3+3*q*y-q^2,0)\n return log(1+ycritical)\nend\n\nfunction betacritical(q; latticetype=\"\")\n if latticetype == \"triangular\"\n return betacritical_triangular(q)\n elseif latticetype == \"hexagonal\"\n return betacritical_hexagonal(q)\n else\n return betacritical_square(q)\n end\nend\n\n@show betacritical(2)\n@show betacritical(3)\n@show betacritical(4)\n\n@show betacritical(2, latticetype=\"triangular\")\n@show betacritical(3, latticetype=\"triangular\")\n@show betacritical(4, latticetype=\"triangular\")\n\n@show betacritical(2, latticetype=\"hexagonal\")\n@show betacritical(3, latticetype=\"hexagonal\")\n@show betacritical(4, latticetype=\"hexagonal\")\n;",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": "betacritical(2) = 0.8813735870195429\nbetacritical(3) = 1.005052538742381\nbetacritical(4) = 1.0986122886681096\nbetacritical(2, latticetype=\"triangular\") = 0.5493061443340548\nbetacritical(3, latticetype=\"triangular\") = 0.630944724202046\nbetacritical(4, latticetype=\"triangular\") = 0.6931471805599453\nbetacritical(2, latticetype=\"hexagonal\") = 0.48601034731217213\nbetacritical(3, latticetype=\"hexagonal\") = 0.6496694969490833\nbetacritical(4, latticetype=\"hexagonal\") = 0.7848797300731618\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## q=2: Ising"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "q = 2\nlt = \"triangular\"\nm, n = 128, 128\ninit = rand(1:q, m, n)\nniters = 2^12\nburnin = 0\nthin = div(niters,2^4)\n\nbeta = betacritical(q, latticetype=lt)/1.01\n@time S = Potts2dWolff(q, init, beta, niters, burnin, thin, latticetype=lt)\n\nsleep(0.2)\n\nbetastr = @sprintf(\"%.4f\", beta)\nfor k in 1:2:size(S,3)\n figure()\n pcolormesh(S[:,:,k], cmap=\"bwr\", vmin=1, vmax=q)\n title(\"q = $q, beta = $betastr, t = $(k-1)\")\n axes()[:set_aspect](\"equal\")\nend",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": "lattice type: triangular\nN = 16\ninitial value: maxnc = 8262, E = 24466\nafter burnin: maxnc = 8262, E = 24466, totalms = 0\nt = 1, maxnc = 8268, E = 21792, totalms = 2150\nt = 2, maxnc = 8342, E = 18834, totalms = 7152\nt = 3, maxnc = 8272, E = 14802, totalms = 18826\nt = 4, maxnc = 10872, E = 9230, totalms = 139888\nt = 5, maxnc = 12666, E = 9162, totalms = 726992\nt = 6, maxnc = 12050, E = 8908, totalms = 1358646\nt = 7, maxnc = 10409, E = 9380, totalms = 1743465\nt = 8, maxnc = 10026, E = 9516, totalms = 2252652\nt = 9, maxnc = 11371, E = 8892, totalms = 2776627\nt = 10, maxnc = 10808, E = 9110, totalms = 3436064\nt = 11, maxnc = 13391, E = 8238, totalms = 4074695\nt = 12, maxnc = 12268, E = 8590, totalms = 4594780\nt = 13, maxnc = 8297, E = 9280, totalms = 5080341\nt = 14, maxnc = 10262, E = 8764, totalms = 5806834\nt = 15, maxnc = 10269, E = 8928, totalms = 6381775\nt = 16, maxnc = 10727, E = 9226, totalms = 6824059\n 31.730620 seconds (135.68 M allocations: 3.999 GiB, 0.64% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F4C6F60>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004F59CC88>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000505CD6D8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050655080>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DFF5978>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004F070390>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004F05B240>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004E01DF28>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F551390>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## q=3"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "q = 3 # 3-state Potts\nlt = \"triangular\"\nm, n = 128, 128\ninit = rand(1:q, m, n)\nniters = 2^7\nburnin = 0\nthin = div(niters,2^4)\n\nbeta = betacritical(q, latticetype=lt)/eps()\n@time S = Potts2dWolff(q, init, beta, niters, burnin, thin, latticetype=lt)\n\nsleep(0.2)\n\nbetastr = @sprintf(\"%.4f\", beta)\nfor k in 1:2:size(S,3)\n figure()\n pcolormesh(S[:,:,k], cmap=\"bwr\", vmin=1, vmax=q)\n title(\"q = $q, beta = $betastr, t = $(k-1)\")\n axes()[:set_aspect](\"equal\")\nend",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": "lattice type: triangular\nN = 16\ninitial value: maxnc = 5534, E = 32670\nafter burnin: maxnc = 5534, E = 32670, totalms = 0\nt = 1, maxnc = 5514, E = 32522, totalms = 74\nt = 2, maxnc = 5501, E = 32417, totalms = 136\nt = 3, maxnc = 5532, E = 32116, totalms = 335\nt = 4, maxnc = 5507, E = 31832, totalms = 489\nt = 5, maxnc = 5558, E = 31666, totalms = 582\nt = 6, maxnc = 5599, E = 31473, totalms = 682\nt = 7, maxnc = 5561, E = 31261, totalms = 810\nt = 8, maxnc = 5855, E = 30768, totalms = 1234\nt = 9, maxnc = 5653, E = 30260, totalms = 1668\nt = 10, maxnc = 5712, E = 29800, totalms = 2332\nt = 11, maxnc = 8115, E = 24402, totalms = 6809\nt = 12, maxnc = 7824, E = 22742, totalms = 8141\nt = 13, maxnc = 12007, E = 13341, totalms = 24426\nt = 14, maxnc = 16384, E = 0, totalms = 143221\nbreaked: t = 14, maxnc = 16384, E = 0, totalcs = 143221\n 1.370421 seconds (8.08 M allocations: 206.386 MiB, 1.91% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DD02AC8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DDDD9E8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DE0A438>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DD52DA0>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000005069F048>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050B3C470>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050BAA160>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050BD63C8>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "q = 3\nlt = \"triangular\"\nm, n = 128, 128\ninit = rand(1:q, m, n)\nniters = 2^14\nburnin = 0\nthin = div(niters,2^4)\n\nbeta = betacritical(q, latticetype=lt)/1.0\n@time S = Potts2dWolff(q, init, beta, niters, burnin, thin, maxtotalms=10^8, latticetype=lt)\n\nsleep(0.2)\n\nbetastr = @sprintf(\"%.4f\", beta)\nfor k in 1:2:size(S,3)\n figure()\n pcolormesh(S[:,:,k], cmap=\"bwr\", vmin=1, vmax=q)\n title(\"q = $q, beta = $betastr, t = $(k-1)\")\n axes()[:set_aspect](\"equal\")\nend",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": "lattice type: triangular\nN = 16\ninitial value: maxnc = 5547, E = 32669\nafter burnin: maxnc = 5547, E = 32669, totalms = 0\nt = 1, maxnc = 5559, E = 28931, totalms = 4827\nt = 2, maxnc = 5701, E = 25415, totalms = 13606\nt = 3, maxnc = 5975, E = 20915, totalms = 34918\nt = 4, maxnc = 6425, E = 14330, totalms = 292836\nt = 5, maxnc = 7021, E = 12496, totalms = 3584480\nt = 6, maxnc = 11451, E = 11700, totalms = 8822189\nt = 7, maxnc = 12606, E = 11242, totalms = 13605401\nt = 8, maxnc = 12414, E = 11257, totalms = 19257299\nt = 9, maxnc = 10975, E = 11749, totalms = 24861607\nt = 10, maxnc = 10680, E = 11929, totalms = 30877488\nt = 11, maxnc = 11168, E = 12180, totalms = 35597702\nt = 12, maxnc = 8405, E = 12150, totalms = 40423830\nt = 13, maxnc = 11642, E = 11089, totalms = 46143515\nt = 14, maxnc = 12728, E = 10587, totalms = 51444834\nt = 15, maxnc = 11293, E = 11682, totalms = 57627322\nt = 16, maxnc = 11628, E = 11545, totalms = 63724286\n305.115410 seconds (1.22 G allocations: 36.220 GiB, 0.50% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DDD5400>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DE1CDD8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DF6A940>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000005064D0F0>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000505BBB70>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004F05B978>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002F3D7748>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004F0DA630>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004F0C9320>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## q=4"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "q = 4\nlt = \"triangular\"\nm, n = 128, 128\ninit = rand(1:q, m, n)\nniters = 2^15\nburnin = 0\nthin = div(niters,2^4)\n\nbeta = betacritical(q, latticetype=\"triangular\")/1.001\n@time S = Potts2dWolff(q, init, beta, niters, burnin, thin, latticetype=\"triangular\")\n\nsleep(0.2)\n\nbetastr = @sprintf(\"%.4f\", beta)\nfor k in 1:2:size(S,3)\n figure()\n #pcolormesh(S[:,:,k], cmap=\"bwr\", vmin=1, vmax=q)\n pcolormesh(S[:,:,k], cmap=\"gist_earth\", vmin=1-0.1, vmax=q+0.1)\n title(\"q = $q, beta = $betastr, t = $(k-1)\")\n axes()[:set_aspect](\"equal\")\nend",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": "lattice type: triangular\nN = 16\ninitial value: maxnc = 4183, E = 36818\nafter burnin: maxnc = 4183, E = 36818, totalms = 0\nt = 1, maxnc = 4213, E = 32829, totalms = 6509\nt = 2, maxnc = 4306, E = 28762, totalms = 19424\nt = 3, maxnc = 4412, E = 24358, totalms = 48715\nt = 4, maxnc = 4816, E = 20945, totalms = 128703\nt = 5, maxnc = 6706, E = 16972, totalms = 906701\nt = 6, maxnc = 9433, E = 15110, totalms = 1910379\nt = 7, maxnc = 5539, E = 15882, totalms = 3731871\nt = 8, maxnc = 10219, E = 14299, totalms = 6566061\nt = 9, maxnc = 7121, E = 15698, totalms = 9745181\nt = 10, maxnc = 5304, E = 15923, totalms = 14952828\nbreaked: t = 10, maxnc = 5304, E = 15923, totalcs = 14952828\n 72.546607 seconds (288.72 M allocations: 8.583 GiB, 1.30% gc time)\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x00000000505BBA20>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DD49860>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050CFFAC8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000050CD7588>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DEB12B0>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000004DCDA0F0>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Animation"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "q = 3\nlt = \"triangular\"\nm, n = 128, 128\ninit = rand(1:q, m, n)\nniters = 2^14\nburnin = 0\nthin = div(niters,2^10)\n\n@show beta = betacritical(q, latticetype=lt)/1.001\n@time S = Potts2dWolff(q, init, beta, niters, burnin, thin, maxtotalms=10^8, latticetype=lt);\nbetastr = @sprintf(\"%.4f\", beta)",
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": "lattice type: triangular\nN = 1024\ninitial value: maxnc = 5550, E = 32839\nafter burnin: maxnc = 5550, E = 32839, totalms = 0\nt = 64, maxnc = 5517, E = 29542, totalms = 3801\nt = 128, maxnc = 5708, E = 25627, totalms = 13028\nt = 192, maxnc = 5698, E = 21498, totalms = 35386\nt = 256, maxnc = 6790, E = 16306, totalms = 126180\nt = 320, maxnc = 10340, E = 12564, totalms = 2597408\nt = 384, maxnc = 12296, E = 11406, totalms = 6640578\nt = 448, maxnc = 11973, E = 10992, totalms = 11907684\nt = 512, maxnc = 10282, E = 12296, totalms = 16365734\nt = 576, maxnc = 12149, E = 10962, totalms = 19626451\nt = 640, maxnc = 12589, E = 10935, totalms = 24786599\nt = 704, maxnc = 9821, E = 12087, totalms = 29002943\nt = 768, maxnc = 7486, E = 12811, totalms = 33649017\nt = 832, maxnc = 11227, E = 12291, totalms = 37933539\nt = 896, maxnc = 9907, E = 11550, totalms = 43237840\nt = 960, maxnc = 12493, E = 10888, totalms = 47502114\nt = 1024, maxnc = 9110, E = 12212, totalms = 50540604\n283.486242 seconds (1.30 G allocations: 36.070 GiB, 1.36% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "\"0.6303\""
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "filename = \"Potts2d-128x128-3tri-0_6303\"\nn = size(S,3)\n\nwithfig(figure()) do\n k = 1\n# for j in [1;1;1;1; 1:2^3:2^9+1-2^3; 2^9+1:2^4:n; n;n;n;n; n:-2^4:2^9+1; 2^9+1-2^3:-2^3:1;]\n for j in [1;1;1;1;1;1;1;1;1; 1:2^2:n; n;n;n;n;n;n;n;n;n;]\n clf()\n #pcolormesh(S[:,:,j], cmap=\"bwr\", vmin=1, vmax=q)\n pcolormesh(S[:,:,j], cmap=\"gist_earth\", vmin=1-0.1, vmax=q+0.1)\n title(\"q = $q, beta = $betastr, t = $(j-1)\")\n axes()[:set_aspect](\"equal\")\n savefig(filename * @sprintf(\"_%04d\",k), bbox_inches=\"tight\")\n k += 1\n end\nend\n\nrun(`convert -delay 8 -loop 0 $(filename)_\\*.png $filename.gif`)\n\nopen(filename*\".gif\") do f\n base64_video = base64encode(f)\n display(\"text/html\", \"\"\"<img src=\"data:image/gif;base64,$base64_video\">\"\"\")\nend",
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
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