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A definition of metastability for Markov processes with detailed balance

Author

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  • F. Leyvraz
  • H. Larralde
  • D. P. Sanders

Abstract

A definition of metastable states applicable to arbitrary finite state Markov processes satisfying detailed balance is discussed. In particular, we identify a crucial condition that distinguishes genuine metastable states from other types of slowly decaying modes and which leads to properties similar to those postulated in the restricted ensemble approach [1]. The intuitive physical meaning of this condition is simply that the total equilibrium probability of finding the system in the metastable state is negligible. As a concrete application of our formalism we present preliminary results on a 2D kinetic Ising model. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • F. Leyvraz & H. Larralde & D. P. Sanders, 2006. "A definition of metastability for Markov processes with detailed balance," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 57-61, March.
    • Handle: RePEc:spr:eurphb:v:50:y:2006:i:1:p:57-61
    DOI: 10.1140/epjb/e2006-00097-9
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