Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapped for a very long time in states which are very different from the ones typical of stationarity. This phenomenon can be recasted in the framework of metastability theory which is typical of Statistical Mechanics. In this paper we consider a model presenting two not degenerate in energy metastable states which form a series, in the sense that, when the dynamics is started at one of them, before reaching stationarity, the system must necessarily visit the second one. We discuss a rule for combining the exit times from each of the metastable states.
Sum of exit times in series of metastable states in probabilistic cellular automata / Cirillo, E.N.M.; Nardi, F.R.; Spitoni, C. - STAMPA. - 9664:(2016), pp. 105-119. (Intervento presentato al convegno 22nd IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2016 tenutosi a che nel 2016) [10.1007/978-3-319-39300-1_9].
Sum of exit times in series of metastable states in probabilistic cellular automata
NARDI, FRANCESCA ROMANAMembro del Collaboration Group
;
2016
Abstract
Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapped for a very long time in states which are very different from the ones typical of stationarity. This phenomenon can be recasted in the framework of metastability theory which is typical of Statistical Mechanics. In this paper we consider a model presenting two not degenerate in energy metastable states which form a series, in the sense that, when the dynamics is started at one of them, before reaching stationarity, the system must necessarily visit the second one. We discuss a rule for combining the exit times from each of the metastable states.File | Dimensione | Formato | |
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