is defined as the 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.
[3] The phase transition point is usually identified comparing the behavior of
as a function of the temperature for different values of the system size
The transition temperature is the unique point where the different curves cross in the thermodynamic limit.
This behavior is based on the fact that in the critical region,
Accordingly, the cumulant may also be used to identify the universality class of the transition by determining the value of the critical exponent
[1] In the thermodynamic limit, at the critical point, the value of the Binder parameter depends on boundary conditions, the shape of the system, and anisotropy of correlations.
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