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The critical properties of magnetic system using generalized belief propagation technique

Gwizdałła T.

Prace Naukowe Politechniki Warszawskiej. Elektronika

2008

z. 165

85-93

Since few years the Belief Propagation [13, 14, 15] algorithm is reported as a very efficient tool to perform the optimization of systems which can be topologically transformed to the one of acceptable equivalent forms [9, 7]. The Ising system is often mentioned in these papers as a good example to present some basic foundations of BP. It is however rarely used as a tool to solve the Ising system itself. In this article we are going to present the analysis of critical properties, connected to the phase transition of magnetic system described by the Ising hamiltonian and the comparison of results to those obtained using evolutionary algorithm.