Abstract

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? 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 ? ? ? D/2 suggested previously by other authors. © 2002 Elsevier Science B.V. All rights reserved.