English

Long Wavelength Instability for Uniform Shear Flow

Condensed Matter 2009-10-28 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9604187,
  title  = {Long Wavelength Instability for Uniform Shear Flow},
  author = {Mirim Lee and James W. Dufty and José M. Montanero and Andrés Santos and James F. Lutsko},
  journal= {arXiv preprint arXiv:cond-mat/9604187},
  year   = {2009}
}

Comments

12 pages, including 2 figures

R2 v1 2026-07-22T11:53:00.492Z