Implementation of the histogram method for equilibrium statistical models using moments of a distribution

Abstract

This paper shows a simple implementation of the Histogram Method for extrapolations in Monte Carlo simulations, using the moments of the operators that define the energy, instead of their histogram. This implementation is suitable for extrapolation over several operators, a type of calculation that is hindered by computer memory limitations. Examples of this approach are given for the 2-D Ising model.

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