A Monte Carlo method for the numerical simulation of Tsallis statistics

Authors
Salazar, R Toral, R
Citation
R. Salazar et R. Toral, A Monte Carlo method for the numerical simulation of Tsallis statistics, PHYSICA A, 283(1-2), 2000, pp. 59-64
Citations number
11
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
283
Issue
1-2
Year of publication
2000
Pages
59 - 64
Database
ISI
SICI code
0378-4371(20000801)283:1-2<59:AMCMFT>2.0.ZU;2-E
Abstract
We present a new method devised to overcome the intrinsic difficulties asso ciated to the numerical simulations of the Tsallis statistics. We use a sta ndard Metropolis Monte Carlo algorithm at a fictitious temperature T', comb ined with a numerical integration method for the calculation of the entropy in order to evaluate the actual temperature T. We illustrate the method by applying it to the 2d-Ising model using a standard reweighting technique. (C) 2000 Elsevier Science B.V. All rights reserved.