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arXiv:cond-mat/0404032 · Physica A Statistical Mechanics and its Applications

Mean field, long-range ferromagnets and periodic boundary conditions

Sergio Curilef

Published Apr 26, 2004• 0 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2004.04.008

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We present a possible way to study long-range interacting particles in finite-infinite systems with periodic boundary conditions. A symmetrical lattice and its contributions overall space are being used. In this context, we study the Ising model with ferromagnetic interaction that decays as a 1/r a law. We verify by Monte Carlo heat-bath simulations in the D (dimension) = 1 case that the thermodynamics quantities scale in a way proposed by Tsallis, and we confirm that mean field theory is exact in the last model for all 0 < a < D suggested by Cannas and Tamarit.
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