Abstract
We consider Markov chains with fast and slow variables and show that in a suitable scaling limit, the dynamics becomes deterministic, yet is far away from the standard mean field approximation. This new limit is an instance of self-induced stochastic resonance which arises due to matching between a rare event timescale on the one hand and the natural timescale separation in the underlying problem on the other. Here it is illustrated on a model of a molecular motor, where it is shown to explain the regularity of the motor gait observed in some experiments.
Original language | English (US) |
---|---|
Pages (from-to) | 75-94 |
Number of pages | 20 |
Journal | Journal of Statistical Physics |
Volume | 126 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2007 |
Keywords
- Large deviations
- Markov chain
- Molecular motors
- Scaling limit
- Self-induced stochastic resonance
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics