A definition of metastability for Markov processes with detailed balance |
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Authors: | F Leyvraz H Larralde D P Sanders |
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Institution: | (1) Centro de Ciencias Físicas, UNAM; Apartado postal 48-3, CP, 62251 Cuernavaca Morelos, Mexico |
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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. |
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Keywords: | 02 50 Ga Markov processes 05 20 Gg Classical ensemble theory 05 70 Ln Nonequilibrium and irreversible thermodynamics |
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