Monte Carlo Simulation of Magnetic System in the Tsallis Statistics

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 $q$ 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 $q=1$.

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

References in corpus (3)

• Long-range interactions and non-extensivity in ferromagnetic spin models
• Broad Histogram Monte Carlo
• Generalization of the Mean-Field Ising Model Within Tsallis Thermostatistics

Cited by in corpus (11)

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• Broad Histogram Method for Multiparametric Hamiltonians
• Finite size analysis of a two-dimensional Ising model within a nonextensive approach
• Thermostatistics of extensive and non-extensive systems using generalized entropies
• A Monte Carlo Method for the Numerical Simulation of Tsallis Statistics
• Two-time Green's functions and spectral density method in nonextensive quantum statistical mechanics
• Phase diagram of a 2D Ising model within a nonextensive approach
• Simulation of the two-dimensional Potts model using nonextensive statistics
• Scaling functions for Tsallis non--extensive statistics