Higher-order hydrodynamics: Extended Fick's law, evolution equation, and Bobylev's instability

David Jou, José Casas-Vázquez, Justino R. Madureira, Áurea R. Vasconcellos, Roberto Luzzi

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)

Abstract

The powerful kinetic theory based on a generalized non-equilibrium grand-canonical ensemble was applied to the study of the motion of a fluid when in the presence of space inhomogeneities. The generalized Mori-Heisenberg-Langevin equations provided by the theory were used to derive a generalized Fick's Law. An extended evolution equation for the density of particles was derived, and the conditions when it goes over restricted forms of the type of the telegraphist equation and Fick's diffusion equation were detailed.
Original languageEnglish
Pages (from-to)1571-1584
JournalJournal of Chemical Physics
Volume116
DOIs
Publication statusPublished - 22 Jan 2002

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