Editing Percolation analysis

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In practice, one has to compute the fraction of percolating realizations for different values of the control parameter <math> \left. x \right. </math> and different system sizes <math> \left. L \right. </math>. The critical value <math> x_c </math> is then estimated by plotting
In practice, one has to compute the fraction of percolating realizations for different values of the control parameter <math> \left. x \right. </math> and different system sizes <math> \left. L \right. </math>. The critical value <math> x_c </math> is then estimated by plotting
<math> \left. X_{\rm per}(x) \right. </math> as a function of <math> \left. x \right. </math> for several values of <math> L </math>. The crossing of
<math> X_{\rm per}(x) </math> as a function of <math> \left. x \right. </math> for several values of <math> L </math>. The crossing of
the curves with different values of <math> L </math> provide estimates of both <math> x_c </math> and <math> X_{\rm per}^{(c)} </math>.
the curves with different values of <math> L </math> provide estimates of both <math> x_c </math> and <math> X_{\rm per}^{(c)} </math>.


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