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Coarse graining of master equations with fast and slow states

Author
Pigolotti, S.; Vulpiani, A.
Type of activity
Journal article
Journal
Journal of chemical physics
Date of publication
2008-04-18
Volume
128
First page
154114-1
Last page
154114-8
DOI
https://doi.org/10.1063/1.2907242 Open in new window
URL
http://scitation.aip.org/content/aip/journal/jcp/128/15/10.1063/1.2907242 Open in new window
Abstract
We propose a general method for simplifying master equations by eliminating from the description rapidly evolving states. The physical recipe we impose is the suppression of these states and a renormalization of the rates of all the surviving states. In some cases, this decimation procedure can be analytically carried out and is consistent with other analytical approaches, such as in the problem of the random walk in a double well potential. We discuss the application of our method to nontrivial...
Group of research
DONLL - Nonlinear dynamics, nonlinear optics and lasers

Participants

  • Pigolotti, Simone  (author)
  • Vulpiani, Angelo  (author)