Weakly Nonlocal Hydrodynamics and the Origin of Viscosity in the Adhesion Model

Abstract

We use the weakly nonlocal hydrodynamics approach to obtain a dynamical equation for the peculiar velocity field in which the viscosity term is physically motivated. Based on some properties of the Ginzburg-Landau equation and the wave mechanics analog of hydrodynamics we find the nonlocal adhesion approximation taking into account the internal structures of the Zeldovich pancakes. If the internal structures correspond to significant mesoscopic fluctuations, viscosity is probably driven by a stochastic force and dynamics is given by the noisy Burgers equation.

arXiv comment5 pages. Accepted for publication in Physical Review D

References in corpus (4)

• The World of the Complex Ginzburg-Landau Equation
• A Wave-Mechanical Approach to Cosmic Structure Formation
• Gravitational instability in the strongly nonlinear regime: A study of various approximations
• Hydrodynamics of dense granular systems

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