| Thermodynamic entropy and chaos in a discrete hydrodynamical system. | |
| | |
MedLine Citation:
|
PMID: 19518181 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
|
We show that the thermodynamic entropy density is proportional to the largest Lyapunov exponent (LLE) of a discrete hydrodynamical system, a deterministic two-dimensional lattice gas automaton. The definition of the LLE for cellular automata is based on the concept of Boolean derivatives and is formally equivalent to that of continuous dynamical systems. This relation is justified using a Markovian model. In an irreversible process with an initial density difference between both halves of the system, we find that Boltzmann's H function is linearly related to the expansion factor of the LLE although the latter is more sensitive to the presence of traveling waves. |
| | |
Authors:
|
Franco Bagnoli; Raúl Rechtman |
Publication Detail:
|
Type: Journal Article; Research Support, Non-U.S. Gov't Date: 2009-04-09 |
Journal Detail:
|
Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 79 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2009 Apr |
Date Detail:
|
Created Date: 2009-06-12 Completed Date: 2009-07-16 Revised Date: - |
Medline Journal Info:
|
Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
|
Languages: eng Pagination: 041115 Citation Subset: - |
Affiliation:
|
Dipartimento di Energetica, Università di Firenze, Via S. Marta 3, I-50139 Firenze, Italy. franco.bagnoli@unifi.it |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Current control in a tilted washboard potential via time-delayed feedback.
Next Document: Generalized molecular chaos hypothesis and the H theorem: Problem of constraints and amendment of no...