Title: Entropy balance in the presence of drift and diffusion currents : an elementary chaotic map approach
Authors : Vollmer, Jürgen
Tél, Tamás
Breymann, Wolfgang
Published in : Physical Review E : covering Statistical, Nonlinear, Biological, and Soft Matter Physics
Volume(Issue) : 58
Issue : 2
Pages : 1672
Pages to: 1684
Publisher / Ed. Institution : American Physical Society
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 study the rate of irreversible entropy production and the entropy flux generated by low-dimensional dynamical systems modeling transport processes induced by the simultaneous presence of an external field and a density gradient. The key ingredient for understanding entropy balance is the coarse graining of the phase-space density. This mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected by finite resolution. Calculations are carried out for a generalized multibaker map. For the time-reversible dissipative (thermostated) version of the model, results of nonequilibrium thermodynamics are recovered in the large system limit. Independent of the choice of boundary conditions, we obtain the rate of irreversible entropy production per particle as u2/D, where u is the streaming velocity (current per density) and D is the diffusion coefficient.
Departement: School of Engineering
Organisational Unit: Institute of Data Analysis and Process Design (IDP)
Publication type: Article in scientific Journal
DOI : 10.1103/PhysRevE.58.1672
ISSN: 2470-0045
URI: https://digitalcollection.zhaw.ch/handle/11475/4616
Appears in Collections:Publikationen School of Engineering

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