// Solve each given Environment and plot it.
func solveAndPlot(envs []*tempAll.Environment, epsabs, epsrel float64, vars plots.GraphVars, xyLabels []string, fileLabelF0, fileLabelMu, fileLabelD1, xmax string) error {
// solve
var plotEnvs []interface{}
var errs []error
if *plotFS || *preciseFS {
plotEnvs, errs = tempAll.MultiSolve(envs, epsabs, epsrel, SolveNoninteracting)
} else {
plotEnvs, errs = tempAll.MultiSolve(envs, epsabs, epsrel, ZeroTempSolve)
}
wd, _ := os.Getwd()
grapherPath := wd + "/../plots/grapher.py"
graphParams := map[string]string{plots.FILE_KEY: wd + "/" + fileLabelF0, plots.XLABEL_KEY: xyLabels[0], plots.YLABEL_KEY: xyLabels[1], plots.YMIN_KEY: "0.0", "xmax": xmax}
if !*plotFS && !*preciseFS {
// plot F0
err := plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, *printerPlots)
if err != nil {
return fmt.Errorf("error making plots: %v", err)
}
}
// plot Mu_h
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelMu
graphParams[plots.YLABEL_KEY] = xyLabels[2]
graphParams[plots.YMIN_KEY] = ""
vars.Y = "Mu_h"
err := plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, *printerPlots)
if err != nil {
return fmt.Errorf("error making plots: %v", err)
}
// plot D1
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelD1
graphParams[plots.YLABEL_KEY] = xyLabels[3]
vars.Y = "D1"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, *printerPlots)
if err != nil {
return fmt.Errorf("error making plots: %v", err)
}
graphParams["xmax"] = ""
if *plotFS || *preciseFS {
// plot Fermi surface
for _, env := range envs {
X := strconv.FormatFloat(env.X, 'f', 6, 64)
Tz := strconv.FormatFloat(env.Tz, 'f', 6, 64)
Thp := strconv.FormatFloat(env.Thp, 'f', 6, 64)
outPrefix := wd + "/" + "plot_data.FermiSurface_x_" + X + "_tz_" + Tz + "_thp_" + Thp
err = tempAll.FermiSurface(env, outPrefix, grapherPath, *preciseFS)
if err != nil {
return fmt.Errorf("error making plots: %v", err)
}
}
}
return nil
}
func solveAndPlot(envs []*tempAll.Environment, epsabs, epsrel float64, fileLabelTp, fileLabelMu, fileLabelD1, xmax string) error {
// solve
plotEnvs, errs := tempAll.MultiSolve(envs, epsabs, epsrel, PairTempSolve)
// T_p vs x plot
vars := plots.GraphVars{"X", "", []string{"Tz", "Thp"}, []string{"t_z/t_0", "t_h^{\\prime}/t_0"}, nil, tempAll.GetTemp}
wd, _ := os.Getwd()
grapherPath := wd + "/../plots/grapher.py"
graphParams := map[string]string{plots.FILE_KEY: wd + "/" + fileLabelTp, plots.XLABEL_KEY: "$x_{eff}$", plots.YLABEL_KEY: "$T_p/t_0$", plots.YMIN_KEY: "0.0", "xmax": xmax}
err := plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, false)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelTp + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// Mu_h vs x plot
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelMu
graphParams[plots.YLABEL_KEY] = "$\\mu_h/t_0$"
graphParams[plots.YMIN_KEY] = ""
vars.Y = "Mu_h"
vars.YFunc = nil
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, false)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelMu + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// D1 vs x plot
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelD1
graphParams[plots.YLABEL_KEY] = "$D_1$"
vars.Y = "D1"
vars.YFunc = nil
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, false)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelD1 + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
return nil
}
func solveAndPlot(envs []*tempAll.Environment, epsabs, epsrel float64, fileLabelMu_b, fileLabelMu_h, fileLabelD1, fileLabel_a, fileLabel_b, fileLabel_x2, fileLabel_x1 string) error {
// solve
plotEnvs, errs := tempAll.MultiSolve(envs, epsabs, epsrel, FlucTempSolve)
// Mu_b vs T plot
vars := plots.GraphVars{"", "Mu_b", []string{"Tz", "Thp", "X"}, []string{"t_z/t_0", "t_h^{\\prime}/t_0", "x_{eff}"}, tempAll.GetTemp, nil}
wd, _ := os.Getwd()
grapherPath := wd + "/../plots/grapher.py"
graphParams := map[string]string{plots.FILE_KEY: wd + "/" + fileLabelMu_b, plots.XLABEL_KEY: "$T$", plots.YLABEL_KEY: "$\\mu_{pair}/t_0$", plots.YMIN_KEY: ""}
err := plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, false)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelMu_b + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// Mu_h vs T plots
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelMu_h
graphParams[plots.YLABEL_KEY] = "$\\mu_h/t_0$"
vars.Y = "Mu_h"
err = plots.MultiPlot(plotEnvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelMu_h + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// D_1 vs T plots
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelD1
graphParams[plots.YLABEL_KEY] = "$D_1$"
vars.Y = "D1"
err = plots.MultiPlot(plotEnvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelD1 + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// x_2 vs T plots
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_x2
graphParams[plots.YLABEL_KEY] = "$x_2$"
graphParams[plots.YMIN_KEY] = "0.0"
vars.Y = ""
vars.YFunc = tempCrit.GetX2
err = plots.MultiPlot(plotEnvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_x2 + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// x_1 vs T plots
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_x1
graphParams[plots.YLABEL_KEY] = "$x_1$"
x1fn := func(data interface{}) float64 {
env := data.(tempAll.Environment)
return env.X - tempCrit.GetX2(data)
}
vars.Y = ""
vars.YFunc = x1fn
err = plots.MultiPlot(plotEnvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_x1 + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// omega_+(q) parameters (a, b) vs T
get_fit := func(data interface{}, i int) float64 {
env := data.(tempAll.Environment)
if env.FixedPairCoeffs {
if i == 0 || i == 1 {
return env.A
} else {
return env.B
}
}
fit, err := tempCrit.OmegaFit(&env, tempCrit.OmegaPlus)
if err != nil {
fmt.Printf("%v\n", err)
}
return fit[i]
}
get_a := func(data interface{}) float64 {
return get_fit(data, 0)
}
get_b := func(data interface{}) float64 {
return get_fit(data, 2)
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_a
graphParams[plots.YLABEL_KEY] = "$a/t_0$"
graphParams[plots.YMIN_KEY] = ""
vars.Y = ""
vars.YFunc = get_a
err = plots.MultiPlot(plotEnvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_a + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_b
graphParams[plots.YLABEL_KEY] = "$b/t_0$"
vars.Y = ""
vars.YFunc = get_b
err = plots.MultiPlot(plotEnvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabel_b + "_BW_"
err = plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
return nil
}
func makeSHPlots(SHenvs []interface{}, errs []error, fileLabelSH1, fileLabelSH2, fileLabelSH12, fileLabelGamma1, fileLabelGamma2, fileLabelGamma12 string) error {
wd, _ := os.Getwd()
vars := plots.GraphVars{"", "", []string{"Tz", "Thp", "X", "Be_field"}, []string{"t_z", "t_h^{\\prime}", "x_{eff}", "eB"}, GetSHTemp, nil}
grapherPath := wd + "/../plots/grapher.py"
graphParams := map[string]string{plots.XLABEL_KEY: "$T$"}
// specific heat from unpaired holons
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelSH1
graphParams[plots.YLABEL_KEY] = "$C_V^{1}$"
vars.Y = "SH_1"
err := plots.MultiPlot(SHenvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelSH1 + "_BW_"
err = plots.MultiPlotStyle(SHenvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// specific heat from pairs
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelSH2
graphParams[plots.YLABEL_KEY] = "$C_V^{2}$"
vars.Y = "SH_2"
err = plots.MultiPlot(SHenvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelSH2 + "_BW_"
err = plots.MultiPlotStyle(SHenvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// specific heat from holons+pairs
SH12 := func(d interface{}) float64 {
env := d.(SpecificHeatEnv)
return env.SH_1 + env.SH_2
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelSH12
graphParams[plots.YLABEL_KEY] = "$C_V^{12}$"
vars.Y = ""
vars.YFunc = SH12
err = plots.MultiPlot(SHenvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelSH12 + "_BW_"
err = plots.MultiPlotStyle(SHenvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// plot gamma = C_V / T = C_V * Beta
// gamma from holons+pairs
Gamma := func(d interface{}) float64 {
env := d.(SpecificHeatEnv)
return SH12(d) * env.Beta
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelGamma12
graphParams[plots.YLABEL_KEY] = "$\\gamma^{12}$"
vars.YFunc = Gamma
err = plots.MultiPlot(SHenvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelGamma12 + "_BW_"
err = plots.MultiPlotStyle(SHenvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// gamma from unpaired holons
Gamma1 := func(d interface{}) float64 {
env := d.(SpecificHeatEnv)
return env.SH_1 * env.Beta
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelGamma1
graphParams[plots.YLABEL_KEY] = "$\\gamma^{1}$"
vars.YFunc = Gamma1
err = plots.MultiPlot(SHenvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelGamma1 + "_BW_"
err = plots.MultiPlotStyle(SHenvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
// gamma from pairs
Gamma2 := func(d interface{}) float64 {
env := d.(SpecificHeatEnv)
return env.SH_2 * env.Beta
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelGamma2
graphParams[plots.YLABEL_KEY] = "$\\gamma^{2}$"
vars.YFunc = Gamma2
err = plots.MultiPlot(SHenvs, errs, vars, graphParams, grapherPath)
if err != nil {
return err
}
graphParams[plots.FILE_KEY] = wd + "/" + fileLabelGamma2 + "_BW_"
err = plots.MultiPlotStyle(SHenvs, errs, vars, graphParams, grapherPath, true)
if err != nil {
return err
}
return nil
}
// Production-ready plots:
// D1, Mu_h, and Tc vs T.
// Extra set of plots to zoom in on x=0.
// x1 & x2, a & b.
// x = {0.03, 0.06, 0.09} in each set.
// Vary tz and thp independently in each set (fix one at 0.1 and the other is in {0.05, 0.1, 0.15}).
func TestProductionPlots(t *testing.T) {
// setup
flag.Parse()
if !*production {
return
}
defaultEnv, err := flucDefaultEnv()
if err != nil {
t.Fatal(err)
}
eps := 1e-6
/*
N_Mu_b := 60
N_Tz_Thp := 3
Nx := 3
// vary thp; running a & b
defaultEnv.FixedPairCoeffs = false
envs := defaultEnv.MultiSplit([]string{"Mu_b", "Tz", "Thp", "X"}, []int{N_Mu_b, 1, N_Tz_Thp, Nx}, []float64{0.0, 0.1, 0.05, 0.03}, []float64{-0.5, 0.1, 0.15, 0.09})
fileLabelMu_b := "plot_data_THP.Mu_b_T"
fileLabelMu_h := "plot_data_THP.Mu_h_T"
fileLabelD1 := "plot_data_THP.D1_T"
fileLabel_a := "plot_data_THP.a_T"
fileLabel_b := "plot_data_THP.b_T"
fileLabel_x2 := "plot_data_THP.x2_T"
fileLabel_x1 := "plot_data_THP.x1_T"
err = solveAndPlot(envs, eps, eps, fileLabelMu_b, fileLabelMu_h, fileLabelD1, fileLabel_a, fileLabel_b, fileLabel_x2, fileLabel_x1)
if err != nil {
t.Fatal(err)
}
// vary thp; fixed a & b
defaultEnv.FixedPairCoeffs = true
envs = defaultEnv.MultiSplit([]string{"Mu_b", "Tz", "Thp", "X"}, []int{N_Mu_b, 1, N_Tz_Thp, Nx}, []float64{0.0, 0.1, 0.05, 0.03}, []float64{-0.5, 0.1, 0.15, 0.09})
fileLabelMu_b = "plot_data_THP_FIXED_AB.Mu_b_T"
fileLabelMu_h = "plot_data_THP_FIXED_AB.Mu_h_T"
fileLabelD1 = "plot_data_THP_FIXED_AB.D1_T"
fileLabel_a = "plot_data_THP_FIXED_AB.a_T"
fileLabel_b = "plot_data_THP_FIXED_AB.b_T"
fileLabel_x2 = "plot_data_THP_FIXED_AB.x2_T"
fileLabel_x1 = "plot_data_THP_FIXED_AB.x1_T"
err = solveAndPlot(envs, eps, eps, fileLabelMu_b, fileLabelMu_h, fileLabelD1, fileLabel_a, fileLabel_b, fileLabel_x2, fileLabel_x1)
if err != nil {
t.Fatal(err)
}
// vary tz; running a & b
defaultEnv.FixedPairCoeffs = false
envs = defaultEnv.MultiSplit([]string{"Mu_b", "Tz", "Thp", "X"}, []int{N_Mu_b, N_Tz_Thp, 1, Nx}, []float64{0.0, 0.05, 0.1, 0.03}, []float64{-0.5, 0.15, 0.1, 0.09})
fileLabelMu_b = "plot_data_TZ.Mu_b_T"
fileLabelMu_h = "plot_data_TZ.Mu_h_T"
fileLabelD1 = "plot_data_TZ.D1_T"
fileLabel_a = "plot_data_TZ.a_T"
fileLabel_b = "plot_data_TZ.b_T"
fileLabel_x2 = "plot_data_TZ.x2_T"
fileLabel_x1 = "plot_data_TZ.x1_T"
err = solveAndPlot(envs, eps, eps, fileLabelMu_b, fileLabelMu_h, fileLabelD1, fileLabel_a, fileLabel_b, fileLabel_x2, fileLabel_x1)
if err != nil {
t.Fatal(err)
}
// vary tz; fixed a & b
defaultEnv.FixedPairCoeffs = true
envs = defaultEnv.MultiSplit([]string{"Mu_b", "Tz", "Thp", "X"}, []int{N_Mu_b, N_Tz_Thp, 1, Nx}, []float64{0.0, 0.05, 0.1, 0.03}, []float64{-0.5, 0.15, 0.1, 0.09})
fileLabelMu_b = "plot_data_TZ_FIXED_AB.Mu_b_T"
fileLabelMu_h = "plot_data_TZ_FIXED_AB.Mu_h_T"
fileLabelD1 = "plot_data_TZ_FIXED_AB.D1_T"
fileLabel_a = "plot_data_TZ_FIXED_AB.a_T"
fileLabel_b = "plot_data_TZ_FIXED_AB.b_T"
fileLabel_x2 = "plot_data_TZ_FIXED_AB.x2_T"
fileLabel_x1 = "plot_data_TZ_FIXED_AB.x1_T"
err = solveAndPlot(envs, eps, eps, fileLabelMu_b, fileLabelMu_h, fileLabelD1, fileLabel_a, fileLabel_b, fileLabel_x2, fileLabel_x1)
if err != nil {
t.Fatal(err)
}
// SH with running a & b; tz = thp = 0.1
N_Mu_b_SH := 30
defaultEnv.FixedPairCoeffs = false
envs = defaultEnv.MultiSplit([]string{"Mu_b", "Tz", "Thp", "X"}, []int{N_Mu_b_SH, 1, 1, Nx}, []float64{-0.03, 0.1, 0.1, 0.03}, []float64{-0.5, 0.1, 0.1, 0.09})
plotEnvs, errs := tempAll.MultiSolve(envs, eps, eps, FlucTempSolve)
Xs := getXs(plotEnvs)
SH_envs := makeSHEnvs(plotEnvs, errs, Xs)
fileLabelSH1 := "plot_data_SH.SH1_T"
fileLabelSH2 := "plot_data_SH.SH2_T"
fileLabelSH12 := "plot_data_SH.SH12_T"
fileLabelGamma12 := "plot_data_SH.gamma12_T"
fileLabelGamma1 := "plot_data_SH.gamma1_T"
fileLabelGamma2 := "plot_data_SH.gamma2_T"
err = makeSHPlots(SH_envs, errs, fileLabelSH1, fileLabelSH2, fileLabelSH12, fileLabelGamma1, fileLabelGamma2, fileLabelGamma12)
if err != nil {
t.Fatal(err)
}
// SH with a & b fixed at their Tc values
defaultEnv.FixedPairCoeffs = true
envs = defaultEnv.MultiSplit([]string{"Mu_b", "Tz", "Thp", "X"}, []int{N_Mu_b_SH, 1, 1, Nx}, []float64{-0.03, 0.1, 0.1, 0.03}, []float64{-0.5, 0.1, 0.1, 0.09})
plotEnvs, errs = tempAll.MultiSolve(envs, eps, eps, FlucTempSolve)
Xs = getXs(plotEnvs)
SH_envs = makeSHEnvs(plotEnvs, errs, Xs)
fileLabelSH1 = "plot_data_SH_FIXED_AB.SH1_T"
fileLabelSH2 = "plot_data_SH_FIXED_AB.SH2_T"
fileLabelSH12 = "plot_data_SH_FIXED_AB.SH12_T"
fileLabelGamma12 = "plot_data_SH_FIXED_AB.gamma12_T"
fileLabelGamma1 = "plot_data_SH_FIXED_AB.gamma1_T"
fileLabelGamma2 = "plot_data_SH_FIXED_AB.gamma2_T"
err = makeSHPlots(SH_envs, errs, fileLabelSH1, fileLabelSH2, fileLabelSH12, fileLabelGamma1, fileLabelGamma2, fileLabelGamma12)
if err != nil {
t.Fatal(err)
}
*/
// magnetization
eps = 1e-9
defaultEnv.FixedPairCoeffs = true
defaultEnv.IterateD1Mu_hMu_b = true
defaultEnv.X = 0.05
//TcFactors := []float64{1.0, 1.05, 1.1, 1.15}
//TcFactors := []float64{1.15, 1.2, 1.25, 1.3} // works for x = 0.1
TcFactors := []float64{1.2, 1.25, 1.3, 1.35} // works for x = 0.05
//TcFactors := []float64{1.15, 1.2, 1.25, 1.3}
//TcFactors := []float64{1.2, 1.4, 1.6}
//TcFactors := []float64{1.0, 1.2, 1.4, 1.6}
BeFields := []float64{}
for i := 0; i < 11; i++ {
BeFields = append(BeFields, 0.005*float64(i))
}
magEnvs, err := EnvSplitTcB(defaultEnv, TcFactors, BeFields, eps, eps)
if err != nil {
t.Fatal(err)
}
plotEnvs, errs := tempAll.MultiSolve(magEnvs, eps, eps, SolveMu_b)
fileLabelB := "plot_data.M_eB"
vars := plots.GraphVars{"Be_field", "", []string{"Temp"}, []string{"T/t_0"}, nil, tempCrit.GetMagnetization}
wd, _ := os.Getwd()
grapherPath := wd + "/../plots/grapher.py"
graphParams := map[string]string{plots.FILE_KEY: wd + "/" + fileLabelB, plots.XLABEL_KEY: "$eB$", plots.YLABEL_KEY: "$M/e$", "xmax": "0.05"}
errMPlot := plots.MultiPlotStyle(plotEnvs, errs, vars, graphParams, grapherPath, true)
if errMPlot != nil {
t.Fatalf("error making M plot: %v", errMPlot)
}
}