Self-induced stochastic resonance for Brownian ratchets under load

R. E. Lee Deville, Eric Vanden Eijnden

Research output: Contribution to journalArticle

Abstract

We consider a Brownian ratchet model where the particle on the ratchet is coupled to a cargo. We show that in a distinguished limit where the diffusion coefficient of the cargo is small, and the amplitude of thermal fluctuations is small, the system becomes completely coherent: the times at which the particle jumps across the teeth of the ratchet become deterministic. We also show that the dynamics of the ratchet-cargo system do not depend on the fine structure of the Brownian ratchet. These results axe relevant in the context of molecular motors transporting a load, which axe often modeled as a ratchet-cargo compound. They explain the regularity of the motor gait that has been observed in numerical experiments, as well as justify the coarsening into Markov jump processes which is commonly done in the literature.

Original languageEnglish (US)
Pages (from-to)431-446
Number of pages16
JournalCommunications in Mathematical Sciences
Volume5
Issue number2
StatePublished - 2007

Fingerprint

Brownian Ratchet
Ratchet
Stochastic Resonance
Coarsening
Markov Jump Processes
Molecular Motor
Fine Structure
Gait
Justify
Diffusion Coefficient
Jump
Experiments
Regularity
Numerical Experiment
Fluctuations

Keywords

  • Brownian ratchets
  • Molecular motors
  • Self-induced stochastic resonance
  • Stochastic resonance

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Self-induced stochastic resonance for Brownian ratchets under load. / Lee Deville, R. E.; Vanden Eijnden, Eric.

In: Communications in Mathematical Sciences, Vol. 5, No. 2, 2007, p. 431-446.

Research output: Contribution to journalArticle

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