A long-range ferromagnetic spin model with periodic boundary conditions

摘要

A possible way to study long-range interacting particles in finite-infinite periodic systems is applied to a modified Ising model with ferromagnetic interaction that decays as a 1/r(alpha) law. We verify, by Monte Carlo heat-bath simulations for cases in D dimensions, that the thermodynamic quantities scale in a way proposed by Tsallis, and that the mean field theory is exact in the last model for all 0 less than or equal to alpha less than or equal to D/2 suggested previously by other authors. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 18]