master-thesis-tex/figs/analytic_comp/sqrt_convergence.tex

% This file was created with tikzplotlib v0.10.1.
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\begin{axis}[
height=\figH,
legend cell align={left},
legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=lightgray204},
log basis x={10},
log basis y={10},
minor xtick={20,30,40,50,60,70,80,90,200,300,400,500,600,700,800,900,2000,3000,4000,5000,6000,7000,8000,9000,20000,30000,40000,50000,60000,70000,80000,90000,200000,300000,400000,500000,600000,700000,800000,900000},
minor xticklabels={
  \(\displaystyle {2\times10^{1}}\),
  \(\displaystyle {3\times10^{1}}\),
  \(\displaystyle {4\times10^{1}}\),
  ,
  \(\displaystyle {6\times10^{1}}\),
  ,
  ,
  ,
  \(\displaystyle {2\times10^{2}}\),
  \(\displaystyle {3\times10^{2}}\),
  \(\displaystyle {4\times10^{2}}\),
  ,
  \(\displaystyle {6\times10^{2}}\),
  ,
  ,
  ,
  \(\displaystyle {2\times10^{3}}\),
  \(\displaystyle {3\times10^{3}}\),
  \(\displaystyle {4\times10^{3}}\),
  ,
  \(\displaystyle {6\times10^{3}}\),
  ,
  ,
  ,
  \(\displaystyle {2\times10^{4}}\),
  \(\displaystyle {3\times10^{4}}\),
  \(\displaystyle {4\times10^{4}}\),
  ,
  \(\displaystyle {6\times10^{4}}\),
  ,
  ,
  ,
  \(\displaystyle {2\times10^{5}}\),
  \(\displaystyle {3\times10^{5}}\),
  \(\displaystyle {4\times10^{5}}\),
  ,
  \(\displaystyle {6\times10^{5}}\),
  ,
  ,
  
},
minor ytick={2e-05,3e-05,4e-05,5e-05,6e-05,7e-05,8e-05,9e-05,0.0002,0.0003,0.0004,0.0005,0.0006,0.0007,0.0008,0.0009,0.002,0.003,0.004,0.005,0.006,0.007,0.008,0.009,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09},
minor yticklabels={
  \(\displaystyle {2\times10^{-5}}\),
  \(\displaystyle {3\times10^{-5}}\),
  \(\displaystyle {4\times10^{-5}}\),
  \(\displaystyle {5\times10^{-5}}\),
  \(\displaystyle {6\times10^{-5}}\),
  \(\displaystyle {7\times10^{-5}}\),
  \(\displaystyle {8\times10^{-5}}\),
  \(\displaystyle {9\times10^{-5}}\),
  \(\displaystyle {2\times10^{-4}}\),
  \(\displaystyle {3\times10^{-4}}\),
  \(\displaystyle {4\times10^{-4}}\),
  \(\displaystyle {5\times10^{-4}}\),
  \(\displaystyle {6\times10^{-4}}\),
  \(\displaystyle {7\times10^{-4}}\),
  \(\displaystyle {8\times10^{-4}}\),
  \(\displaystyle {9\times10^{-4}}\),
  \(\displaystyle {2\times10^{-3}}\),
  \(\displaystyle {3\times10^{-3}}\),
  \(\displaystyle {4\times10^{-3}}\),
  \(\displaystyle {5\times10^{-3}}\),
  \(\displaystyle {6\times10^{-3}}\),
  \(\displaystyle {7\times10^{-3}}\),
  \(\displaystyle {8\times10^{-3}}\),
  \(\displaystyle {9\times10^{-3}}\),
  \(\displaystyle {2\times10^{-2}}\),
  \(\displaystyle {3\times10^{-2}}\),
  \(\displaystyle {4\times10^{-2}}\),
  \(\displaystyle {5\times10^{-2}}\),
  \(\displaystyle {6\times10^{-2}}\),
  \(\displaystyle {7\times10^{-2}}\),
  \(\displaystyle {8\times10^{-2}}\),
  \(\displaystyle {9\times10^{-2}}\)
},
tick align=outside,
tick pos=left,
title={\(\displaystyle \alpha(0)=0.95\), \(\displaystyle \omega_c=2\)},
width=\figW,
x grid style={darkgray176},
xlabel={N},
xmin=922.680834590588, xmax=5418.99193367184,
xmode=log,
xtick style={color=black},
xtick={10,100,1000,10000,100000},
xticklabels={
  \(\displaystyle {10^{1}}\),
  \(\displaystyle {10^{2}}\),
  \(\displaystyle {10^{3}}\),
  \(\displaystyle {10^{4}}\),
  \(\displaystyle {10^{5}}\)
},
y grid style={darkgray176},
ylabel={\(\displaystyle \langle \sigma \rangle / J_\mathrm{max}\)},
ymin=0.000345871424493466, ymax=0.000838201019949921,
ymode=log,
ytick style={color=black},
ytick={1e-05,0.0001,0.001,0.01},
yticklabels={
  \(\displaystyle {10^{-5}}\),
  \(\displaystyle {10^{-4}}\),
  \(\displaystyle {10^{-3}}\),
  \(\displaystyle {10^{-2}}\)
}
]
\addplot [semithick, steelblue31119180]
table {%
1000 0.00080514483852312
5000.0009765625 0.000360071600880474
};
\addlegendentry{$1/\sqrt{N}$}
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table {%
1000 0.00080514483852312
1999.99963378906 0.000566588540095836
3000.00073242188 0.000463386240880936
4000.00073242188 0.000403286510845646
5000.0009765625 0.000361806363798678
};
\addlegendentry{Numerics}
\end{axis}

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