PMID: 22587037May 17, 2012Paper

Singular response of bistable systems driven by telegraph noise

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Akihisa IchikiM I Dykman

Abstract

We show that weak periodic driving can exponentially strongly change the rate of escape from a potential well of a system driven by telegraph noise. The analysis refers to an overdamped system, where escape requires that the noise amplitude θ exceed a critical value θ(c). For θ close to θ(c), the exponent of the escape rate displays a nonanalytic dependence on the amplitude of an additional low-frequency modulation. This leads to giant nonlinearity of the response of a bistable system to periodic modulation. Also studied is the linear response to periodic modulation far from θ(c). We analyze the scaling of the logarithm of the escape rate with the distance to the saddle-node and pitchfork bifurcation points. The analytical results are in excellent agreement with numerical simulations.

References

May 1, 1985·Physical Review A: General Physics·J M Sancho
Oct 15, 1991·Physical Review. a·J M PorrK Lindenberg
Oct 19, 1992·Physical Review Letters·C R Doering, J C Gadoua
May 9, 1994·Physical Review Letters·C R DoeringJ Riordan
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I BenaKatja Lindenberg
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I BenaKatja Lindenberg
May 29, 2004·Genetics·Mukund Thattai, Alexander van Oudenaarden
Aug 25, 2004·Physical Review Letters·R W SimmondsJohn M Martinis
Sep 28, 2004·Physical Review Letters·J Tobiska, Yu V Nazarov
Dec 17, 2004·Physical Review Letters·J P Pekola
May 21, 2005·Physical Review Letters·J S Aldridge, A N Cleland
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katsuya OuchiHirokazu Fujisaka
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jing-hui Li, Yin-xia Han
Aug 7, 2007·Physical Review Letters·A V TimofeevJ P Pekola
Mar 5, 2009·Physical Review Letters·Q Le MasneD Esteve
Dec 2, 2009·The Review of Scientific Instruments·R VijayI Siddiqi
May 21, 2010·Physical Review Letters·Lora BillingsM I Dykman
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M I Dykman
Jan 15, 2011·Physical Review Letters·Yoni ShaliboNadav Katz
Jan 15, 2011·Physical Review Letters·C M WilsonP Delsing

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Citations

Jun 25, 2020·Physical Review. E·Adrián A BudiniManuel O Cáceres
Jun 15, 2016·Physical Review. E·R SheshkaL Truskinovsky
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L PonzoniA Kargol

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