Title: Entropy balance, time reversibility, and mass transport in dynamical systems
Authors : Breymann, Wolfgang
Tél, Tamás
Vollmer, Jürgen
Published in : Chaos : an Interdisciplinary Journal of Nonlinear Science
Volume(Issue) : 8
Issue : 2
Pages : 396
Pages to: 408
Publisher / Ed. Institution : AIP Publishing
Issue Date: 1998
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (Publication)
Language : English
Subject (DDC) : 530: Physics
Abstract: We review recent results concerning entropy balance in low-dimensional dynamical systems modeling mass (or charge) transport. The key ingredient for understanding entropy balance is the coarse graining of the local phase-space density. It mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected up to a finite resolution. In addition, we derive a new relation for the rate of irreversible entropy production in steady states of dynamical systems: It is proportional to the average growth rate of the local phase-space density. Previous results for the entropy production in steady states of thermostated systems without density gradients and of Hamiltonian systems with density gradients are recovered. As an extension we derive the entropy balance of dissipative systems with density gradients valid at any instant of time, not only in stationary states. We also find a condition for consistency with thermodynamics. A generalized multi-Baker map is used as an illustrative example.
Departement: School of Engineering
Organisational Unit: Institute of Data Analysis and Process Design (IDP)
Publication type: Article in scientific Journal
DOI : 10.1063/1.166322
ISSN: 1054-1500
URI: https://digitalcollection.zhaw.ch/handle/11475/4615
Appears in Collections:Publikationen School of Engineering

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