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A Nontrivial Scaling Limit for Multiscale Markov Chains.
- Source :
-
Journal of Statistical Physics . Jan2007, Vol. 126 Issue 1, p75-94. 20p. 2 Graphs. - Publication Year :
- 2007
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224715
- Volume :
- 126
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 23764689
- Full Text :
- https://doi.org/10.1007/s10955-006-9237-1