# [035] Long Wavelength Instability for Uniform Shear Flow

M. Lee, J. W. Dufty, J. M. Montanero, A. Santos, and J. F. Lutsko, "Long Wavelength Instability for Uniform Shear Flow", *Phys. Rev. Lett.*, **76**, 2702 (1996) __http://jimlutsko.github.io/files/Lutsko_1996_1.pdf__

## Abstract

Uniform shear flow is a prototype nonequilibrium state admitting detailed study at both the macroscopic and microscopic levels via theory and computer simulation. It is shown that the hydrodynamic equations for this state have a long wavelength instability. This result is obtained first from the Navier-Stokes equations and shown to apply at both low and high densities. Next, higher order rheological effects are included using a model kinetic theory. The results are compared favorably to those from Monte Carlo simulation.