Asymptotic thermodynamic criteria for the persistency of metastable states
type: Item
instance of: scholarly article
title: Asymptotic thermodynamic criteria for the persistency of metastable states
zbMATH Open document ID: 0604.60085
DOI: 10.1007/BF00669717
author: Bernard H. Lavenda
author: C. Cardella
published in: International Journal of Theoretical Physics
publication date: 1986-01-01T00:00:00Z
review text: The mean first exit time is logarithmically equivalent to the exponential of the smallest total free energy barrier separating metastable from stable states for a general class of discontinuous Markov processes in the thermodynamic limit. This asymptotic principle of minimum relative free energy difference constitutes a generalization of the corresponding entropy principle to systems in thermal contact with their environment and formalizes the results of a number of previous authors. The overwhelmingly most probable path of exit, in the thermodynamic limit, is the mirror image in time of the causal path. Along the anticausal path the free energy is an increasing function of time and hence does not provide any criterion of evolution. The kinetic mean-field model of a ferromagnetic serves for illustration.
Mathematics Subject Classification ID: 60J99
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 3976051
zbMATH Keywords: mean first exit time
zbMATH Keywords: entropy principle
zbMATH Keywords: thermodynamic limit
zbMATH Keywords: kinetic mean-field model of a ferromagnetic
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00669717
OpenAlex ID: W2092664344
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description: scientific article; zbMATH DE number 3976051