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Equilibrium Times For The Multicanonical Method

Author

Listed:
  • M. L. GUERRA

    (Dpto. de Física, Univ. Nacional de Colombia, Bogotá D. C., Colombia)

  • J. D. MUÑOZ

    (Dpto. de Física, Univ. Nacional de Colombia, Bogotá D. C., Colombia)

Abstract

This work measures the time to equilibrium for the multicanonical method on the 2D-Ising system by using a new criterion, proposed here, to find the time to equilibrium,teq, of any sampling procedure based on a Markov process. Our new procedure gives the same results that the usual one, based on the magnetization, for the canonical Metropolis sampling on a 2D-Ising model at several temperatures. For the multicanonical method we found a power-law relationship with the system size,L, ofteq=0.27(15) L2.80(13)and with the number of energy levels to explore,kE, of$t_{\rm eq} = 0.7(13) k_{\rm E}^{1.40(11)}$, in perfect agreement with the above result. In addition, a kind ofcritical slowing downwas observed around the critical energy. Our new procedure is completely general, and can be applied to any sampling method based on Markov processes.

Suggested Citation

  • M. L. Guerra & J. D. Muñoz, 2004. "Equilibrium Times For The Multicanonical Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 471-478.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:03:n:s0129183104005851
    DOI: 10.1142/S0129183104005851
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    Cited by:

    1. Radosteva, E. & Kalacheva, T., 2013. "Prospects of development of the market of functional food," Annals of marketing-mba, Department of Marketing, Marketing MBA (RSconsult), vol. 3, November.

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