Homogeneous shear flow of a hard-sphere fluid: Analytic solutions

Petravic, J. and Jepps, O. G. (2003) Homogeneous shear flow of a hard-sphere fluid: Analytic solutions. Physical Review E, 67 2: 021105. doi:10.1103/PhysRevE.67.021105

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Author Petravic, J.
Jepps, O. G.
Title Homogeneous shear flow of a hard-sphere fluid: Analytic solutions
Journal name Physical Review E   Check publisher's open access policy
ISSN 1063-651X
Publication date 2003-02-01
Year available 2003
Sub-type Article (original research)
DOI 10.1103/PhysRevE.67.021105
Open Access Status File (Publisher version)
Volume 67
Issue 2
Start page 021105
Total pages 11
Place of publication College Pk
Publisher American Physical Society
Language eng
Subject 09 Engineering
Abstract Recently, a solution for collision-free trajectories in an N particle thermostatted hard-sphere system undergoing homogeneous shear (the so-called "Sllod" equations of motion) led to a kinetic theory of dilute hard-sphere gases under shear. However, a solution for collisions, necessary for a complete theory at higher densities, has been missing. We present an analytic solution to this problem, which provides surprising insights into the mechanical aspects of thermostatting a system in an external field. The equivalence of constant temperature and constant energy ensembles in the thermodynamic limit in equilibrium, the conditions for the nature of heat exchange with the environment (entropy creation and reduction) in the system, and the condition for appearance of the artificial string phase follow from our solution.
Keyword Physics, Fluids & Plasmas
Physics, Mathematical
Nonequilibrium Molecular-dynamics
Disk Lorentz Gas
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Medicine Publications
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Citation counts: TR Web of Science Citation Count  Cited 4 times in Thomson Reuters Web of Science Article | Citations
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Created: Fri, 25 Jan 2008, 15:53:19 EST