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Numerical simulations versus theoretical predictions for a non-Gaussian noise induced escape problem in application to full counting statistics

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Khovanov, I. A. and Khovanova, N. A. (2014) Numerical simulations versus theoretical predictions for a non-Gaussian noise induced escape problem in application to full counting statistics. Physical Review B (Condensed Matter and Materials Physics), Volume 89 (Number 8). Article number 085419. doi:10.1103/PhysRevB.89.085419

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Official URL: http://dx.doi.org/10.1103/PhysRevB.89.085419

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Abstract

A theoretical approach for characterizing the influence of asymmetry of noise distribution on the escape rate
of a multistable system is presented. This was carried out via the estimation of an action, which is defined as
an exponential factor in the escape rate, and discussed in the context of full counting statistics paradigm. The
approach takes into account all cumulants of the noise distribution and demonstrates an excellent agreement with
the results of numerical simulations. An approximation of the third-order cumulant was shown to have limitations
on the range of dynamic stochastic system parameters. The applicability of the theoretical approaches developed
so far is discussed for an adequate characterization of the escape rate measured in experiments.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Engineering
Faculty of Science > Centre for Scientific Computing
Library of Congress Subject Headings (LCSH): Mesoscopic phenomena (Physics)
Journal or Publication Title: Physical Review B (Condensed Matter and Materials Physics)
Publisher: American Physical Society
ISSN: 1098-0121
Official Date: 21 February 2014
Dates:
DateEvent
21 February 2014Published
Date of first compliant deposit: 26 December 2015
Volume: Volume 89
Number: Number 8
Article Number: Article number 085419
DOI: 10.1103/PhysRevB.89.085419
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: American Physical Society
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: EP/C53932X/2 (EPSRC), EP/G070660/1 (EPSRC), EP/K02504X/1 (EPSRC)

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