| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
Steady state fluctuation relation and time-reversibility for non-smooth chaotic maps | Matteo Colangeli
; Rainer Klages
; Paolo De Gregorio
; Lamberto Rondoni
; | Date: |
17 Feb 2011 | Abstract: | Steady state fluctuation relations for dynamical systems are commonly derived
under the assumption of some form of time-reversibility and of chaos. There
are, however, cases in which they are observed to hold even if the usual notion
of time reversal invariance is violated, e.g. for local fluctuations of
Navier-Stokes systems. Here we construct and study analytically a simple
non-smooth map in which the standard steady state fluctuation relation is
valid, although the model violates the Anosov property of chaotic dynamical
systems. Particularly, the time reversal operation is performed by a
discontinuous involution, and the invariant measure is also discontinuous along
the unstable manifolds. This further indicates that the validity of fluctuation
relations for dynamical systems does not rely on particularly elaborate
conditions, usually violated by systems of interest in physics. Indeed, even an
irreversible map is proved to verify the steady state fluctuation relation. | Source: | arXiv, 1102.3548 | 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.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |