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- Scaling behavior for the pressure and energy of shearing fluids
- Ge, Jialin; Todd, B. D.; Wu, Guangwen; Sadus, Richard J.
- 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
- Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, no. 6 (Jun 2003), article no. 061201
- Publication year
- Liquid theory; Lennard-Jones potential; Critical points; Molecular dynamics method
- American Physical Society
- Publisher URL
- Copyright © 2003 American Physical Society. The published version of the paper is reproduced here with the kind permission of the publisher.
- Full text
- Peer reviewed