Thermodynamically admissible form for discrete hydrodynamics

Details Thermodynamically admissible form for discrete hydrodynamics Thermodynamically admissible form for discrete hydrodynamics

1999-01-12

arxiv.org/abs/cond-mat/9901101v1

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevLett.83.4542

We construct a discrete model of fluid particles according to the GENERIC formalism. The model has the form of Smoothed Particle Hydrodynamics including correct thermal fluctuations. A slight variation of the model reproduces the Dissipative Particle Dynamics model with any desired thermodynamic behavior. The resulting algorithm has the following properties: mass, momentum and energy are conserved, entropy is a non-decreasing function of time and the thermal fluctuations produce the correct Einstein distribution function at equilibrium.

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