We consider the problem of non degenerate in energy metastable states forming a series in the framework of reversible finite state space Markov chains. We assume that starting from the state at higher energy the system necessarily visits the second one before reaching the stable state. In this framework we give a sharp estimate of the exit time from the metastable state at higher energy and, on the proper exponential time scale, we prove an addition rule. As an application of the theory, we study the Blume--Capel model in the zero chemical potential case.
Sum of exit times in a series of two metastable states / Emilio N. M. Cirillo; Francesca R. Nardi; Cristian Spitoni. - In: THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS. - ISSN 1951-6401. - STAMPA. - 226:(2017), pp. 2421-2438. [10.1140/epjst/e2017-70070-6]
Sum of exit times in a series of two metastable states
NARDI, FRANCESCA ROMANA;
2017
Abstract
We consider the problem of non degenerate in energy metastable states forming a series in the framework of reversible finite state space Markov chains. We assume that starting from the state at higher energy the system necessarily visits the second one before reaching the stable state. In this framework we give a sharp estimate of the exit time from the metastable state at higher energy and, on the proper exponential time scale, we prove an addition rule. As an application of the theory, we study the Blume--Capel model in the zero chemical potential case.File | Dimensione | Formato | |
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