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Metastability of reversible finite state Markov processes

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  • Beltrán, J.
  • Landim, C.
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    Abstract

    We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable behavior of the Ising model with a small magnetic field at very low temperature.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0304414911000676
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    Bibliographic Info

    Article provided by Elsevier in its journal Stochastic Processes and their Applications.

    Volume (Year): 121 (2011)
    Issue (Month): 8 (August)
    Pages: 1633-1677

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    Handle: RePEc:eee:spapps:v:121:y:2011:i:8:p:1633-1677

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    Related research

    Keywords: Metastability Finite state Markov processes Reversibility;

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    1. den Hollander, F., 2004. "Metastability under stochastic dynamics," Stochastic Processes and their Applications, Elsevier, vol. 114(1), pages 1-26, November.
    2. Gaudillière, A. & den Hollander, F. & Nardi, F.R. & Olivieri, E. & Scoppola, E., 2009. "Ideal gas approximation for a two-dimensional rarefied gas under Kawasaki dynamics," Stochastic Processes and their Applications, Elsevier, vol. 119(3), pages 737-774, March.
    3. den Hollander, F. & Olivieri, E. & Scoppola, E., 2000. "Nucleation in fluids: some rigorous results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 279(1), pages 110-122.
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