An efficient Monte Carlo algorithm for overcoming broken ergodicity in the simulation of spin systems

Ioan Andricioaei and John E. Straub

Physica A: Statistical Mechanics and its Applications, 1997, vol. 247, issue 1, 553-558

Abstract: A new Monte Carlo algorithm which provides enhanced sampling in the calculation of equilibrium thermodynamic properties of spin systems is presented. The algorithm proposed performs trial moves based on the generalized statistical distributions derived from a modification of the Gibbs-Shannon entropy by Tsallis. Results for a two-dimensional Ising model demonstrate that the algorithm leads to a greatly enhanced rate of barrier crossing and convergence in the calculation of equilibrium thermodynamic averages. Comparison is made with standard Metropolis Monte Carlo.

Keywords: 05.50.+q; 64.60.Cn; 75.10.Hk; Numerical algorithms; Spin systems; Tsallis statistics (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:247:y:1997:i:1:p:553-558

DOI: 10.1016/S0378-4371(97)00421-4

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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