Stability of Uniform Shear Flow

Дата и время публикации : 1997-05-15T19:01:17Z

Авторы публикации и институты :
Jose M. Montanero (Universidad de Extremadura, Spain)
Andres Santos (Universidad de Extremadura, Spain)
Mirim Lee (Univ. of Houston)
James W. Dufty (Univ. of Florida)
J. F. Lutsko (Katholiek University of Leuvan, Belgium)

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 25 pages, 9 figures (Fig.8 is available on request) RevTeX, submitted to Phys. Rev. E
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: The stability of idealized shear flow at long wavelengths is studied in detail. A hydrodynamic analysis at the level of the Navier-Stokes equation for small shear rates is given to identify the origin and universality of an instability at any finite shear rate for sufficiently long wavelength perturbations. The analysis is extended to larger shear rates using a low density model kinetic equation. Direct Monte Carlo Simulation of this equation is computed with a hydrodynamic description including non Newtonian rheological effects. The hydrodynamic description of the instability is in good agreement with the direct Monte Carlo simulation for $t < 50t_0$, where $t_0$ is the mean free time. Longer time simulations up to $2000t_0$ are used to identify the asymptotic state as a spatially non-uniform quasi-stationary state. Finally, preliminary results from molecular dynamics simulation showing the instability are presented and discussed.

Category: Physics