EQUILIBRIUM TIMES FOR THE MULTICANONICAL METHOD

M. L. Guerra () and J. D. Muñoz ()
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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

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 03, 471-478

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.

Keywords: Multicanonical method; time to equilibrium; Markov processes; flat-histogram algorithms (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005851

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