English

Thermodynamically admissible form for discrete hydrodynamics

Statistical Mechanics 2009-10-31 v1 Soft Condensed Matter

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9901101,
  title  = {Thermodynamically admissible form for discrete hydrodynamics},
  author = {Pep Español and Hans Christian Öttinger},
  journal= {arXiv preprint arXiv:cond-mat/9901101},
  year   = {2009}
}

Comments

4 pages

R2 v1 2026-07-22T12:09:02.950Z