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Stochastic differential equations for non-linear hydrodynamics

1998; Elsevier BV; Volume: 248; Issue: 1-2 Linguagem: Inglês

10.1016/s0378-4371(97)00461-5

1873-2119

Pep Español,

Lattice Boltzmann Simulation Studies

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.