Microscopic and Macroscopic Stress with Gravitational and Rotational Forces

Details Microscopic and Macroscopic Stress with Gravitational and Rotational Forces Microscopic and Macroscopic Stress with Gravitational and Rotational Forces

2009-01-14

arxiv.org/abs/0901.2071v2

Nonlinear Sciences

Chaotic Dynamics

Fifteen pages with seven figures, revised according to referees' suggestions at Physical Review E. See also Liu and Qiu's arXi

Scientific paper

10.1103/PhysRevE.79.036709

Many recent papers have questioned Irving and Kirkwood's atomistic expression for stress. In Irving and Kirkwood's approach both interatomic forces and atomic velocities contribute to stress. It is the velocity-dependent part that has been disputed. To help clarify this situation we investigate [1] a fluid in a gravitational field and [2] a steadily rotating solid. For both problems we choose conditions where the two stress contributions, potential and kinetic, are significant. The analytic force-balance solutions of both these problems agree very well with a smooth-particle interpretation of the atomistic Irving-Kirkwood stress tensor.

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