Three-dimensional lattice gas with minimal interactions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Transport Theory and Statistical Physics Année : 1994

Three-dimensional lattice gas with minimal interactions

Résumé

An interaction has been added to the classical lattice gas model that exchanges momentum between sites. The hydrodynamic limit of the model can be obtained from a Chapman-Enskog expansion and all the coefficients can be expressed explicitly. The interaction contributions to viscous terms are independent of the initial interaction-free model and grow like r2. When the interaction range r is large enough, the pressure acquires a negative slope for certain densities. The model then has a phase transition, observed in simulations. Some examples of a three-dimensional phase separation are shown. Whatever the dimension of space, the model can be represented by a cellular automaton with only nearest neighbor communications, using messenger particles or photons. In 2 dimensions of space, this allows fitting the model into a 16 bit table adequate for a special purpose cellular automaton machine like the RAP1.
Fichier non déposé

Dates et versions

hal-02139561 , version 1 (24-05-2019)

Identifiants

Citer

Cécile Appert-Rolland, Dominique d'Humières, Valerie Pot, Stéphane Zaleski. Three-dimensional lattice gas with minimal interactions. Transport Theory and Statistical Physics, 1994, 23 (1-3), pp.107-122. ⟨10.1080/00411459408203856⟩. ⟨hal-02139561⟩
23 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More