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

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  • Andricioaei, Ioan
  • Straub, John E.

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.

Suggested Citation

  • Andricioaei, Ioan & Straub, John E., 1997. "An efficient Monte Carlo algorithm for overcoming broken ergodicity in the simulation of spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 553-558.
    • Handle: RePEc:eee:phsmap:v:247:y:1997:i:1:p:553-558
    DOI: 10.1016/S0378-4371(97)00421-4
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    References listed on IDEAS

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    1. Neuhaus, Walther, 1991. "Foundations of Casualty Actuarial Science: Published by Casualty Actuarial Society, One Penn Plaza, 250 West 34th Street, New York, NY 10119. 584 pages. $65. — (overseas $97.50)," ASTIN Bulletin, Cambridge University Press, vol. 21(2), pages 279-284, November.
    2. Hassan, S.A. & Kuperman, M.N. & Wio, H.S. & Zanette, D.H., 1994. "Evolution of reaction-diffusion patterns in infinite and bounded domains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 380-400.
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    1. Shelokar, P.S. & Jayaraman, V.K. & Kulkarni, B.D., 2008. "Multicanonical jump walk annealing assisted by tabu for dynamic optimization of chemical engineering processes," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1213-1229, March.

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