Título:
|
A fluctuation formula for the non-galilean factor in lattice gas automata
|
Autores:
|
Brito, Ricardo ;
Bussemaker, H. J. ;
Ernst, M. H.
|
Tipo de documento:
|
texto impreso
|
Editorial:
|
IOP science, 1992-08-07
|
Dimensiones:
|
application/pdf
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
Idiomas:
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Física: Termodinámica
,
Tipo = Artículo
|
Resumen:
|
A lattice gas automaton lacks Galilei invariance, and equilibria of systems moving with a finite speed \u -->\ are not simply related by a Galilei transformation to the equilibrium distribution in the rest frame. In the hydrodynamic description of low speed equilibria in lattice gas automata a factor G(rho) appears in the nonlinear convective term, del --> . G(rho)rho-u --> u -->, of the Navier-Stokes equation, that differs from unity due to lack of Galilei invariance. For this non-Galilean factor an expression in terms of fluctuating quantities is derived, in a grand ensemble where the total momentum is fluctuating around a zero average. The formula is valid as long as there exists a unique equilibrium state. Consequently, the results can also be used for a direct simulation of G(rho) in lattice gas models where the explicit form of the equilibrium distribution is not known, such as in models that violated semi-detailed balance.
|
En línea:
|
https://eprints.ucm.es/id/eprint/22130/1/Brito34.pdf
|