A Monte Carlo Method for the Numerical Simulation of Tsallis Statistics

Abstract

We present a new method devised to overcome the intrinsic difficulties associated to the numerical simulations of the Tsallis statistics. We use a standard Metropolis Monte Carlo algorithm at a fictitious temperature T', combined 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.

7 LaTeX pages, 3 figures, submited to Physica A

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