Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Dynamical-system models of transport : chaos characteristics, the macroscopic limit, and irreversibility
Authors: Vollmer, Jürgen
Tél, Tamás
Breymann, Wolfgang
DOI: 10.1016/j.physd.2003.09.005
Published in: Physica D: Nonlinear Phenomena
Volume(Issue): 187
Issue: 1-4
Page(s): 108
Pages to: 127
Issue Date: 2004
Publisher / Ed. Institution: Elsevier
ISSN: 0167-2789
Language: English
Subjects: Chaos; Transport equations; Multibaker maps; Macroscopic limit
Subject (DDC): 530: Physics
Abstract: The escape-rate formalism and the thermostating algorithm describe relaxation towards a decaying state with absorbing boundaries and a steady state of periodic systems, respectively. It has been shown that the key features of the transport properties of both approaches, if modeled by low-dimensional dynamical systems, can conveniently be described in the framework of multibaker maps. In the present paper we discuss in detail the steps required to reach a meaningful macroscopic limit. The limit involves a sequence of coarser and coarser descriptions (projections) until one reaches the level of irreversible macroscopic advection-diffusion equations. The influence of boundary conditions is studied in detail. Only a few of the chaos characteristics possess a meaningful macroscopic limit, but none of these is sufficient to determine the entropy production in a general non-equilibrium state.
URI: https://digitalcollection.zhaw.ch/handle/11475/4661
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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