Entropy balance, time reversibility, and mass transport in dynamical systems

Breymann, Wolfgang; Tél, Tamás; Vollmer, Jürgen

doi:10.1063/1.166322

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Entropy balance, time reversibility, and mass transport in dynamical systems
Authors:	Breymann, Wolfgang Tél, Tamás Vollmer, Jürgen
DOI:	10.1063/1.166322
Published in:	Chaos
Volume(Issue):	8
Issue:	2
Page(s):	396
Pages to:	408
Issue Date:	1998
Publisher / Ed. Institution:	American Institute of Physics
ISSN:	1054-1500 1089-7682
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.
URI:	https://digitalcollection.zhaw.ch/handle/11475/4615
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Engineering
Organisational Unit:	Institute of Data Analysis and Process Design (IDP)
Appears in collections:	Publikationen School of Engineering

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Breymann, W., Tél, T., & Vollmer, J. (1998). Entropy balance, time reversibility, and mass transport in dynamical systems. Chaos, 8(2), 396–408. https://doi.org/10.1063/1.166322

Breymann, W., Tél, T. and Vollmer, J. (1998) ‘Entropy balance, time reversibility, and mass transport in dynamical systems’, Chaos, 8(2), pp. 396–408. Available at: https://doi.org/10.1063/1.166322.

W. Breymann, T. Tél, and J. Vollmer, “Entropy balance, time reversibility, and mass transport in dynamical systems,” Chaos, vol. 8, no. 2, pp. 396–408, 1998, doi: 10.1063/1.166322.

BREYMANN, Wolfgang, Tamás TÉL und Jürgen VOLLMER, 1998. Entropy balance, time reversibility, and mass transport in dynamical systems. Chaos. 1998. Bd. 8, Nr. 2, S. 396–408. DOI 10.1063/1.166322

Breymann, Wolfgang, Tamás Tél, and Jürgen Vollmer. 1998. “Entropy Balance, Time Reversibility, and Mass Transport in Dynamical Systems.” Chaos 8 (2): 396–408. https://doi.org/10.1063/1.166322.

Breymann, Wolfgang, et al. “Entropy Balance, Time Reversibility, and Mass Transport in Dynamical Systems.” Chaos, vol. 8, no. 2, 1998, pp. 396–408, https://doi.org/10.1063/1.166322.