Analytic descriptions of stochastic bistable systems under force ramp

Friddle, Raymond W.

doi:10.1103/PhysRevE.93.052126

Title: Analytic descriptions of stochastic bistable systems under force ramp

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Abstract

Solving the two-state master equation with time-dependent rates, the ubiquitous driven bistable system, is a long-standing problem that does not permit a complete solution for all driving rates. We show an accurate approximation to this problem by considering the system in the control parameter regime. Moreover, the results are immediately applicable to a diverse range of bistable systems including single-molecule mechanics.

Authors:

Friddle, Raymond W. ^[1]

Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Publication Date:: Fri May 13 00:00:00 EDT 2016

Research Org.:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1257795

Alternate Identifier(s):: OSTI ID: 1253062

Report Number(s):: SAND2016-4399J
Journal ID: ISSN 2470-0045; PLEEE8; 639884

Grant/Contract Number:: AC04-94AL85000; DEAC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review E

Additional Journal Information:: Journal Volume: 93; Journal Issue: 5; Journal ID: ISSN 2470-0045

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Friddle, Raymond W. Analytic descriptions of stochastic bistable systems under force ramp.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevE.93.052126.

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                    Friddle, Raymond W. Analytic descriptions of stochastic bistable systems under force ramp.  United States.  https://doi.org/10.1103/PhysRevE.93.052126

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                    Friddle, Raymond W. Fri .  
"Analytic descriptions of stochastic bistable systems under force ramp".  United States.  https://doi.org/10.1103/PhysRevE.93.052126.  https://www.osti.gov/servlets/purl/1257795.

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@article{osti_1257795,

  title        = {Analytic descriptions of stochastic bistable systems under force ramp},

  author       = {Friddle, Raymond W.},

  abstractNote = {Solving the two-state master equation with time-dependent rates, the ubiquitous driven bistable system, is a long-standing problem that does not permit a complete solution for all driving rates. We show an accurate approximation to this problem by considering the system in the control parameter regime. Moreover, the results are immediately applicable to a diverse range of bistable systems including single-molecule mechanics.},

  doi          = {10.1103/PhysRevE.93.052126},

  journal      = {Physical Review E},

  number       = 5,

  volume       = 93,

  place        = {United States},

  year         = {Fri May 13 00:00:00 EDT 2016},

  month        = {Fri May 13 00:00:00 EDT 2016}

}

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