|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Dichotomous Markov Noise: Exact results for out-of-equilibrium systems (a brief overview) | | Ioana Bena
; | | Date: |
5 Jun 2006 | | Subject: | Statistical Mechanics; Other; Soft Condensed Matter | | Abstract: | Nonequilibrium systems driven by additive or multiplicative dichotomous Markov noise appear in a wide variety of physical and mathematical models. We review here some prototypical examples, with an emphasis on {em analytically-solvable} situations. In particular, it has escaped attention till recently that the standard results for the long-time properties of such systems cannot be applied when unstable fixed points are crossed in the asymptotic regime. We show how calculations have to be modified to deal with these cases and present a few relevant applications -- the hypersensitive transport, the rocking ratchet, and the stochastic Stokes’ drift. These results reinforce the impression that dichotomous noise can be put on a par with Gaussian white noise as far as obtaining analytic results is concerned. They convincingly illustrate the interplay between noise and nonlinearity in generating nontrivial behaviors of nonequilibrium systems and point to various practical applications. | | Source: | arXiv, cond-mat/0606116 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER