# Binder cumulant

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