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Metropolis Algorithm and equienergy sampling for two mean field spin systems

  • Federico Bassetti


    (Department of Mathematics, University of Pavia, Italy)

  • Fabrizio Leisen

    (Department of Economics, University of Insubria, Italy)

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    In this paper we study the Metropolis algorithm in connection with two mean–field spin systems, the so called mean–field Ising model and the Blume–Emery–Griffiths model. In both this examples the naive choice of proposal chain gives rise, for some parameters, to a slowly mixing Metropolis chain, that is a chain whose spectral gap decreases exponentially fast (in the dimension N of the problem). Here we show how a slight variant in the proposal chain can avoid this problem, keeping the mean computational cost similar to the cost of the usual Metropolis.

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    Paper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf0704.

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    Length: 26 pages
    Date of creation: Apr 2007
    Date of revision:
    Handle: RePEc:ins:quaeco:qf0704
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