Issue |
Europhys. Lett.
Volume 53, Number 4, February 2001
|
|
---|---|---|
Page(s) | 458 - 464 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2001-00174-3 | |
Published online | 01 December 2003 |
Shear flow, viscous heating, and entropy balance from dynamical systems
1
Institute of Theoretical Physics,
Eötvös University
P.O. Box 32, H-1518 Budapest, Hungary
2
Department of Theoretical Physics, University of Essen - 45117 Essen, Germany
3
Max Planck Institute for Polymer Research -
55128 Mainz, Germany
Corresponding authors: tel@poe.elte.hu vollmer@mpip-mainz.mpg.de matyilac@poe.elte.hu
Received:
16
August
2000
Accepted:
27
November
2000
A consistent description of a shear flow, the accompanied viscous heating, and the associated entropy balance is given in the framework of a deterministic dynamical system, where a multibaker dynamics drives two fields: the velocity and the temperature distributions. In an appropriate macroscopic limit their transport equations go over into the Navier-Stokes and the heat conduction equation of viscous flows. The inclusion of an artificial heat sink can stabilize steady states with constant temperatures. It mimics a thermostating algorithm used in non-equilibrium molecular-dynamics simulations.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.45.Ac – Low-dimensional chaos / 51.20.+d – Viscosity, diffusion, and thermal conductivity
© EDP Sciences, 2001
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