Density nonlinearities and a field theory for the dynamics of simple fluids

Details Density nonlinearities and a field theory for the dynamics of simple fluids Density nonlinearities and a field theory for the dynamics of simple fluids

1994-02-04

arxiv.org/abs/cond-mat/9402022v1

Physics

Condensed Matter

17 pages (5 figs. upon request), ReVTEX 3.0

Scientific paper

10.1007/BF02188215

We study the role of the Jacobian arising from a constraint enforcing the nonlinear relation: ${\bf g}=\rho{\bf V}$, where $\rho,\: {\bf g}$ and ${\bf V}$ are the mass density, the momentum density and the local velocity field, respectively, in the field theoretic formulation of the nonlinear fluctuating hydrodynamics of simple fluids. By investigating the Jacobian directly and by developing a field theoretic formulation without the constraint, we find that no changes in dynamics result as compared to the previous formulation developed by Das and Mazenko (DM). In particular, the cutoff mechanism discovered by DM is shown to be a consequence of the $1/\rho$ nonlinearity in the problem not of the constraint. The consequences of this result for the static properties of the system is also discussed.

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