A Definition of Metastability for Markov Processes with Detailed Balance

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pp. 1 Figure, presented in News, Expectations and Trends in Statistical Physics-3rd International Conference, 13-18 August 2

Scientific paper

10.1140/epjb/e2006-00097-9

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 \cite{pen71}. 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.

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