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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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WRAP_Khovanov_PhysRevB.89.085419.pdf - Published Version Download (591Kb) | Preview |
Official URL: http://dx.doi.org/10.1103/PhysRevB.89.085419
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 |
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| 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: |
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| 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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