{ "id": "cond-mat/9705183", "version": "v1", "published": "1997-05-19T11:48:58.000Z", "updated": "1997-05-19T11:48:58.000Z", "title": "Stochastic differential equations for non-linear hydrodynamics", "authors": [ "Pep EspaƱol" ], "comment": "11 pages, submitted to Phys. Rev. E", "categories": [ "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "1997-05-19T11:48:58.000Z" } ], "analyses": { "keywords": [ "stochastic differential equations", "random forces", "random stress tensor", "non-linear hydrodynamic fluctuations", "random heat flux" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }