Long Wavelength Instability for Uniform Shear Flow

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.

12 pages, including 2 figures

Cited by in corpus (8)

• First normal stress difference and crystallization in a dense sheared granular fluid
• Transport coefficients for an inelastic gas around uniform shear flow: Linear stability analysis
• Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
• Universality of shear-banding instability and crystallization in sheared granular fluid
• Long-Ranged Correlations in Sheared Fluids
• Transport Far From Equilibrium --- Uniform Shear Flow
• Stability of Uniform Shear Flow
• Shear-induced quench of long-range correlations in a liquid mixture