Cosmetic changes/additions, analysis script for variational solver, added save feature for all ells and E_vs_iter.
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@ -1,50 +0,0 @@
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set(0,'defaulttextInterpreter','latex')
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set(groot, 'defaultAxesTickLabelInterpreter','latex'); set(groot, 'defaultLegendInterpreter','latex');
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format long
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runIdx = 6;
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load(sprintf('./Data/Run_%03i/psi_gs.mat',runIdx),'psi','muchem','Observ','t_idx','Transf','Params','VDk','V');
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x = Transf.x*Params.l0*1e6;
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y = Transf.y*Params.l0*1e6;
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z = Transf.z*Params.l0*1e6;
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%percentcomplete = linspace(0,1,Params.cut_off/200);
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dx = x(2)-x(1); dy = y(2)-y(1); dz = z(2)-z(1);
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%Plotting
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subplot(2,3,1)
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n = abs(psi).^2;
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nxz = squeeze(trapz(n*dy,2));
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nyz = squeeze(trapz(n*dx,1));
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nxy = squeeze(trapz(n*dz,3));
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plotxz = pcolor(x,z,nxz');
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set(plotxz, 'EdgeColor', 'none');
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xlabel('$x$ [$\mu$m]'); ylabel('$z$ [$\mu$m]');
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subplot(2,3,2)
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plotyz = pcolor(y,z,nyz');
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set(plotyz, 'EdgeColor', 'none');
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xlabel('$y$ [$\mu$m]'); ylabel('$z$ [$\mu$m]');
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subplot(2,3,3)
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plotxy = pcolor(x,y,nxy');
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set(plotxy, 'EdgeColor', 'none');
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xlabel('$x$ [$\mu$m]'); ylabel('$y$ [$\mu$m]');
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subplot(2,3,4)
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plot(-log10(Observ.residual),'-b')
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ylabel('$-\mathrm{log}_{10}(r)$'); xlabel('steps');
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subplot(2,3,5)
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plot(Observ.EVec,'-b')
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ylabel('$E$'); xlabel('steps');
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subplot(2,3,6)
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plot(Observ.mucVec,'-b')
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ylabel('$\mu$'); xlabel('steps');
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% xlim([0,1]); ylim([0,8]);
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% xlim([0,1]); ylim([0,8]);
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Ecomp = energy_components(psi,Params,Transf,VDk,V);
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72
Dipolar-Gas-Simulator/+Scripts/analyzeRun2D.m
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72
Dipolar-Gas-Simulator/+Scripts/analyzeRun2D.m
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@ -0,0 +1,72 @@
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function analyzeRun2D(run_index)
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set(0,'defaulttextInterpreter','latex')
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set(groot, 'defaultAxesTickLabelInterpreter','latex'); set(groot, 'defaultLegendInterpreter','latex');
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folder_path = './Data';
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% Load data
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Data = load(sprintf(horzcat(folder_path, '/Run_%03i/psi_gs.mat'),run_index),'psi','Observ','Transf','Params','VParams');
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Params = Data.Params;
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Transf = Data.Transf;
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Observ = Data.Observ;
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if isgpuarray(Data.psi)
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psi = gather(Data.psi);
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else
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psi = Data.psi;
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end
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if isgpuarray(Data.Observ.residual)
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Observ.residual = gather(Data.Observ.residual);
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else
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Observ.residual = Data.Observ.residual;
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end
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% Set long format for output
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format long
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% Coordinates in micrometers
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x = Transf.x * Params.l0 * 1e6;
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y = Transf.y * Params.l0 * 1e6;
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% Plotting
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figure('Position', [100, 100, 1600, 900]);
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clf
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% Compute probability density |psi|^2
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n = abs(psi).^2;
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% Plot |psi(x,y)|^2 (density in x and y plane)
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subplot('Position', [0.05, 0.55, 0.28, 0.4])
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pcolor(x, y, n');
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shading interp;
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colorbar;
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xlabel('$x$ [$\mu$m]', 'FontSize', 14); ylabel('$y$ [$\mu$m]', 'FontSize', 14);
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title('$|\Psi_{xy}|^2$', 'FontSize', 14);
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% Plot residual (time steps vs -log10(residual))
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subplot('Position', [0.36, 0.55, 0.28, 0.4])
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plot(-log10(Observ.residual), '-b')
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ylabel('$-\mathrm{log}_{10}(r)$', 'FontSize', 14); xlabel('Time steps', 'FontSize', 14);
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title('Residual', 'FontSize', 14);
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% Plot total energy over time
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subplot('Position', [0.67, 0.55, 0.28, 0.4])
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plot(Observ.EVec, '-b')
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ylabel('$E$', 'FontSize', 14); xlabel('Time steps', 'FontSize', 14);
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title('Total Energy', 'FontSize', 14);
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% Plot chemical potential over time
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subplot('Position', [0.05, 0.05, 0.26, 0.4]);
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subplot('Position', [0.67, 0.05, 0.26, 0.4]);
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plot(Observ.mucVec, '-b')
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ylabel('$\mu$', 'FontSize', 14); xlabel('Time steps', 'FontSize', 14);
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title('Chemical Potential', 'FontSize', 14);
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subplot('Position', [0.36, 0.05, 0.26, 0.4]);
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plot(VParams.ells,VParams.E_vs_iter,'LineStyle','none','Marker','o','MarkerSize',3,'Color','b','MarkerFaceColor','b')
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xlabel('$\ell$', 'FontSize', 14)
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ylabel('$E_{var}$', 'FontSize', 14)
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title('Variational Energy', 'FontSize', 14);
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end
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@ -51,16 +51,15 @@ Plotter.visualizeGSWavefunction(Params.njob)
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%%
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% To reproduce results from the Blair Blakie paper:
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% (n*add^2, as/add)
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% Critical point: (0.0978, 0.784); Triangular phase: (0.0959, 0.750); Stripe phase: (0.144, 0.765); Honeycomb phase: (0.192, 0.780)
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% N = ((nadd^2)/Params.add^2) * (Params.Lx *1E-6)^2
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% N = ((n*add^2)/Params.add^2) * (Params.Lx *1E-6)^2
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% Critical point: N = 2.0427e+07; Triangular phase: N = 2.0030e+07; Stripe phase: N = 3.0077e+07; Honeycomb phase: N = 4.0102e+07 for dimensions fixed to 100
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% as = ((as/add)*Params.add)/Params.a0
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% Critical point: 102.5133; Triangular phase: 98.0676; Stripe phase: 100.0289; Honeycomb phase: 101.9903
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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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@ -1,16 +1,15 @@
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%%
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% To reproduce results from the Blair Blakie paper:
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% (n*add^2, as/add)
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% Critical point: (0.0978, 0.784); Triangular phase: (0.0959, 0.750); Stripe phase: (0.144, 0.765); Honeycomb phase: (0.192, 0.780)
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% N = ((nadd^2)/Params.add^2) * (Params.Lx *1E-6)^2
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% N = ((n*add^2)/Params.add^2) * (Params.Lx *1E-6)^2
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% Critical point: N = 2.0427e+07; Triangular phase: N = 2.0030e+07; Stripe phase: N = 3.0077e+07; Honeycomb phase: N = 4.0102e+07 for dimensions fixed to 100
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% as = ((as/add)*Params.add)/Params.a0
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% Critical point: 102.5133; Triangular phase: 98.0676; Stripe phase: 100.0289; Honeycomb phase: 101.9903
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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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@ -59,7 +59,7 @@ function [Params, Transf, psi, V, VDk] = run(this)
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ells = [ells VParams.ell];
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relelldiff = abs(ells(nn+1)-ells(nn))/ells(nn);
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E_vs_iter = [E_vs_iter E_Var(VParams.ell)];
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save(sprintf(strcat(this.SaveDirectory, '/Run_%03i/psi_gs_%i.mat'),Params.njob),'psi','Observ','Transf','Params','VDk','V','VParams');
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%Plotting
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@ -76,6 +76,10 @@ function [Params, Transf, psi, V, VDk] = run(this)
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break
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end
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end
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VParams.ells = ells;
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VParams.E_vs_iter = E_vs_iter;
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fprintf('\n')
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disp('Saving data...');
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save(sprintf(strcat(this.SaveDirectory, '/Run_%03i/psi_gs.mat'),Params.njob),'psi','Observ','Transf','Params','VDk','V','VParams');
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