First-passage times for a marginal state driven by colored noise

The dynamical process through a marginal state (saddle point) driven by colored noise is studied. For small correlation time of the noise, the mean first-passage time and its variance are calculated using standard methods. When the correlation time of the noise is finite or large, an alternative app...

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Detalles Bibliográficos
Autores: Ramírez Piscina, Laureano, Sancho, José M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1991
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/9526
Acceso en línea:https://hdl.handle.net/2445/9526
Access Level:acceso abierto
Palabra clave:Fluctuacions (Física)
Soroll
Fluctuations (Physics)
Noise
Descripción
Sumario:The dynamical process through a marginal state (saddle point) driven by colored noise is studied. For small correlation time of the noise, the mean first-passage time and its variance are calculated using standard methods. When the correlation time of the noise is finite or large, an alternative approach, based on simple physical arguments, is proposed. It will allow us to study also the passage times of an unstable state. The theoretical predictions are tested satisfactorily by the use of computer simulations.