Monte Carlo Simulation of Magnetic System in the Tsallis Statistics

Details Monte Carlo Simulation of Magnetic System in the Tsallis Statistics Monte Carlo Simulation of Magnetic System in the Tsallis Statistics

1999-02-08

arxiv.org/abs/cond-mat/9902108v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 9 figures, Latex, Elsevier preprint style required. Submitted to Physica A

Scientific paper

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 $q=1$.

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