Monte Carlo simulation of magnetic systems in the Tsallis statistics

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

Physica A: Statistical Mechanics and its Applications, 1999, vol. 268, issue 3, 553-566

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, in the thermodynamical limit, phase transitions at finite temperatures except for the extensive case q=1.

Keywords: Generalized thermodynamics; Tsallis statistics; Monte Carlo simulations (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:268:y:1999:i:3:p:553-566

DOI: 10.1016/S0378-4371(99)00044-8

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