Binder cumulant

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The Binder cumulant for an Ising model with zero field, is given by

U_4 = 1- \frac{\langle m^4 \rangle }{3\langle m^2 \rangle^2 } .

In the thermodynamic limit, where the system size L \rightarrow \infty, U_4 \rightarrow 0 for T > T_c, and U_4 \rightarrow 2/3 for T < T_c.

References

  1. K. Binder "Finite size scaling analysis of ising model block distribution functions", Zeitschrift für Physik B Condensed Matter 43 pp. 119-140 (1981)