Application of heuristic optimization techniques in physics of magnetism

Abstract

The progress of technical abilities of computers creates enables the use of still more elaborated computational techniques. The classical examples are here the Monte-Carlo or the Molecular Dynamics simulations which are the sensible alternative to study even quite complicated structures. In this work we want, however, to deal with the problems which may be described as the optimization questions and from the algorithmical point of view are NP-hard problems. The typical problem studied is here the searching for the ground states of different magnetic systems. In the presented paper we pay the attention to the samples described by the Ising hamiltonian and want to show the use of evolutionary algorithm not only in finding the ground state but also as a tool to look for the minimum energy state at different temperatures.