Linear and nonlinear hydrodynamics of low-friction adsorbed systems

Ramaswamy, Sriram ; Mazenko, Gene F. (1982) Linear and nonlinear hydrodynamics of low-friction adsorbed systems Physical Review A - Atomic, Molecular, and Optical Physics, 26 (3). pp. 1735-1741. ISSN 1050-2947

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A model is proposed which interpolates between the diffusive picture for particles adsorbed on a surface and the full hydrodynamics of a compressible fluid. The model is the Navier-Stokes equations modified by a friction term. When the friction parameter σ is set equal to zero, the Navier-Stokes equations obtain, but for large σ, Fick's law and diffusive behavior for the density emerge. It is found that for σ small enough, the dynamic structure factor should display sound peaks in a certain wave-number range. It is also shown that the infrared divergences that signal the breakdown of hydrodynamics for two-dimensional fluids are regulated by the frinction term. The possibility of observing the sound modes and the nonlinear corrections to the transport coefficients is discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:40149
Deposited On:21 May 2011 10:27
Last Modified:23 May 2011 10:11

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