Stochastic differential equations for non-linear hydrodynamics
统计力学
2015-06-25 v1
摘要
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.
引用
@article{arxiv.cond-mat/9705183,
title = {Stochastic differential equations for non-linear hydrodynamics},
author = {Pep Español},
journal= {arXiv preprint arXiv:cond-mat/9705183},
year = {2015}
}
备注
11 pages, submitted to Phys. Rev. E