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Accelerated rare event sampling: Refinement and Ising model analysis

Author

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  • David Yevick

    (Department of Physics, University of Waterloo, 200 University Ave. W. Waterloo, ON, N2L, 3G1, Canada)

  • Yong Hwan Lee

    (Department of Physics, University of Waterloo, 200 University Ave. W. Waterloo, ON, N2L, 3G1, Canada)

Abstract

In this paper, a recently introduced accelerated sampling technique [D. Yevick, Int. J. Mod. Phys. C 27, 1650041 (2016)] for constructing transition matrices is further developed and applied to a two-dimensional 32×32 Ising spin system. By permitting backward displacements up to a certain limit for each forward step while evolving the system to first higher and then lower energies within a restricted interval that is steadily displaced toward zero temperature as the computation proceeds, accuracy can be greatly enhanced. Simultaneously, the elements obtained from numerous independent calculations are collected in a single transition matrix. The relative accuracy of this novel method is established through a comparison to a transition matrix procedure based on the Metropolis algorithm in which the temperature is appropriately varied during the calculation and the results interpreted in terms of the distribution of realizations over both energy and magnetization.

Suggested Citation

  • David Yevick & Yong Hwan Lee, 2017. "Accelerated rare event sampling: Refinement and Ising model analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(01), pages 1-11, January.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:01:n:s0129183117500127
    DOI: 10.1142/S0129183117500127
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    Cited by:

    1. David Yevick, 2022. "Variational autoencoder analysis of Ising model statistical distributions and phase transitions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(3), pages 1-15, March.

    More about this item

    Keywords

    Statistical mechanics; Monte-Carlo methods;

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