Stochastic differential equations for non-linear hydrodynamics

Details Stochastic differential equations for non-linear hydrodynamics Stochastic differential equations for non-linear hydrodynamics

1997-05-19

arxiv.org/abs/cond-mat/9705183v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, submitted to Phys. Rev. E

Scientific paper

We formulate the stochastic differential equations for non-linear hydrodynamic fluctuations. The equations incorporate the random forces through a random stress tensor and random heat flux as in the Landau and Lifshitz theory. However, the equations are non-linear and the random forces are non-Gaussian. We provide explicit expressions for these random quantities in terms of the well-defined increments of the Wienner process.

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