Binder parameter
The Binder parameter or Binder cumulant in statistical physics, also known as the fourth-order cumulant U L = 1 − ⟨ s 4 ⟩ L 3 ⟨ s 2 ⟩ L 2 {\displaystyle U_{L}=1-{\frac {{\langle s^{4}\rangle }_{L}}{3{\langle s^{2}\rangle }_{L}^{2}}}} is defined as the kurtosis (more precisely, minus one third times the excess kurtosis) of the order parameter, s, introduced by Austrian theoretical physicist Kurt Binder. It is frequently used to determine accurately phase transition points in numerical simulations of various models.