Scaling behavior for the pressure and energy of shearing fluids

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Title: Scaling behavior for the pressure and energy of shearing fluids
Author(s): Ge, Jialin; Todd, B. D.; Wu, Guangwen; Sadus, Richard J.
Abstract: Recent simulation work has established that the widely accepted mode-coupling theory for the strain rate dependence of the pressure and energy of simple fluids under shear (i.e., energy and pressure are functions of strain rate to the power (3/2)) is observed in the vicinity of the triple point. Away from the triple point, the scaling exponent of the strain rate was seen to be closer to 2 than (3/2), suggesting a possible analytic behavior. In this paper, we accurately determine the scaling exponent behavior for a Lennard-Jones fluid in the dense fliud region and find that it varies continuously between ~1.2 and ~2 as a function of density and temperature, thus confirming its nonanalyticity. We furthermore find that the behavior is characterized by a simple linear function of density and temperature.
Publication type: Journal article
Research centre: Swinburne University of Technology. Centre for Molecular Simulation
Source: Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, no. 6 (Jun 2003), article no. 061201
Publication year: 2003
Keyword(s): Liquid theory; Lennard-Jones potential; Critical points; Molecular dynamics method
Publisher: American Physical Society
ISSN: 1063-651X
Publisher URL: http://dx.doi.org/10.1103/PhysRevE.67.061201
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