The Ising model studied using evolutionary approach

Evolutionary algorithms are very powerful techniques for the search of global minima. In this work we want to present the evolutionary approach to the one of the most fundamental problems of solid state magnetism: the Ising model. For the samples built in the most simple way, i.e. only from the +/- 1 spins, various temperature characteristics coming from the minimization of Gibbs free energy with entropy calculated from the pair approximation are shown. The calculations have been performed for samples of different magnitude which allowed the consideration of finite size effects.