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dc.contributor.author
Caceres Garcia Faure, Manuel Osvaldo
dc.date.available
2018-01-05T21:19:58Z
dc.date.issued
2014-04
dc.identifier.citation
Passage Time Statistics in Exponential Distributed Time-Delay Models: Noisy Asymptotic Dynamics; Springer; Journal of Statistical Physics; 156; 1; 4-2014; 94-118
dc.identifier.issn
0022-4715
dc.identifier.uri
http://hdl.handle.net/11336/32480
dc.description.abstract
The stochastic dynamics toward the final attractor in exponential distributed timedelay non-linear models is presented, then the passage time statistic is studied analytically in the small noise approximation. The problem is worked out by going to the associated two-dimensional system. The mean first passage time te from the unstable state for this non-Markovian type of system has been worked out using two different approaches: firstly, by a rigorous adiabatic Markovian approximation (in the small mean delay-time = λ−1); secondly, by introducing the stochastic path perturbation approach to get a non-adiabatic theory for any λ. This first passage time distribution can be written in terms of the important parameters of the models. We have compared both approaches and we have found excellent agreement between them in the adiabatic limit. In addition, using our non-adiabatic approach we predict a crossover and a novel behavior for the relaxation scaling-time as a function of the delay parameter which for λ 1 goes as te ∼ 1/ √λ.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Distributed Time-Delay
dc.subject
Non-Linear Population Models
dc.subject
Non-Adiabatic Approach
dc.subject
Relaxation from Unstable States
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Passage Time Statistics in Exponential Distributed Time-Delay Models: Noisy Asymptotic Dynamics
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-01-05T16:22:40Z
dc.identifier.eissn
1572-9613
dc.journal.volume
156
dc.journal.number
1
dc.journal.pagination
94-118
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Journal of Statistical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10955-014-0993-z
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10955-014-0993-z
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