Long Wavelength Instability for Uniform Shear Flow

Details Long Wavelength Instability for Uniform Shear Flow Long Wavelength Instability for Uniform Shear Flow

1996-04-30

arxiv.org/abs/cond-mat/9604187v1

Phys. Rev. Lett. 76 2702 (1996)

Physics

Condensed Matter

12 pages, including 2 figures

Scientific paper

10.1103/PhysRevLett.76.2702

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.

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