Monte Carlo simulation of magnetic systems in the Tsallis statistics

We apply the broad histogram method to an Ising system in the context of th e recently reformulated Generalized Thermostatistics, and we claim it to be a very efficient simulation tool for this non-extensive statistics. Result s are obtained for the nearest-neighbour version of the Ising model for a r ange of values of the q parameter of Generalized Thermostatistics, We found an evidence that the 2D-Ising model does not undergo, in the thermodynamic al limit, phase transitions at finite temperatures except for the extensive case q = 1. (C) 1999 Elsevier Science B.V. All rights reserved.