English

Monte Carlo Simulation of Magnetic System in the Tsallis Statistics

Statistical Mechanics 2015-06-25 v1

Abstract

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 qq 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=1q=1.

Keywords

Cite

@article{arxiv.cond-mat/9902108,
  title  = {Monte Carlo Simulation of Magnetic System in the Tsallis Statistics},
  author = {A. R. Lima and J. S. Sá Martins and T. J. P. Penna},
  journal= {arXiv preprint arXiv:cond-mat/9902108},
  year   = {2015}
}

Comments

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