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

doi:https://doi.org/10.1063/1.1426416

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

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

16 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 language	English
Pages (from-to)	1571-1584
Journal	Journal of Chemical Physics
Volume	116
DOIs	https://doi.org/10.1063/1.1426416
Publication status	Published - 22 Jan 2002

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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.",

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AU - Casas-Vázquez, José

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AU - Vasconcellos, Áurea R.

AU - Luzzi, Roberto

PY - 2002/1/22

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N2 - 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.

AB - 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.

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DO - https://doi.org/10.1063/1.1426416

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SP - 1571

EP - 1584

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

ER -

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

Abstract

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