Metastability for General Dynamics with Rare Transitions: Escape Time and Critical Configurations

Metastability is a physical phenomenon ubiquitous in first order phase transitions. A fruitful mathematical way to approach this phenomenon is the study of rare transitions Markov chains. For Metropolis chains associated with statistical mechanics systems, this phenomenon has been described in an el...

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Veröffentlicht in:	Journal of statistical physics 2015-10, Vol.161 (2), p.365-403
Hauptverfasser:	Cirillo, Emilio N. M., Nardi, Francesca R., Sohier, Julien
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Sprache:	eng
Schlagworte:	Markov processes Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical
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description	Metastability is a physical phenomenon ubiquitous in first order phase transitions. A fruitful mathematical way to approach this phenomenon is the study of rare transitions Markov chains. For Metropolis chains associated with statistical mechanics systems, this phenomenon has been described in an elegant way in terms of the energy landscape associated to the Hamiltonian of the system. In this paper, we provide a similar description in the general rare transitions setup. Beside their theoretical content, we believe that our results are a useful tool to approach metastability for non-Metropolis systems such as Probabilistic Cellular Automata.
doi_str_mv	10.1007/s10955-015-1334-6
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title	Metastability for General Dynamics with Rare Transitions: Escape Time and Critical Configurations
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