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Monte Carlo Simulation of Magnetic System in the Tsallis Statistics

A. R. Lima, J. S. Sá Martins, T. J. P. Penna

Published 1999-02-08Version 1

We apply the Broad Histogram Method to an Ising system in the context of the recently reformulated Generalized Thermostatistics, and we claim it to be a very efficient simulation tool for this non-extensive statistics. Results are obtained for the nearest-neighbour version of the Ising model for a range of values of the $q$ parameter of Generalized Thermostatistics. We found an evidence that the 2D-Ising model does not undergo phase transitions at finite temperatures except for the extensive case $q=1$.

Comments: 16 pages, 9 figures, Latex, Elsevier preprint style required. Submitted to Physica A
Categories: cond-mat.stat-mech
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