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Journal ArticleDOI

The unified description of kinetic and hydrodynamic processes in gases and plasmas

Yu. L. Klimontovich
- 23 Nov 1992 - 
- Vol. 170, Iss: 6, pp 434-438
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TLDR
In this article, a unified description of kinetic and hydrodynamic processes in gases and plasmas for all values of the Knudsen number is proposed, where the generalized kinetic equation consists of the additional dissipative term and is defined by the diffusion of the distribution function in the coordinate space.
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This article is published in Physics Letters A.The article was published on 1992-11-23. It has received 24 citations till now. The article focuses on the topics: Knudsen number & Dissipative system.

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Citations
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Journal ArticleDOI

On the need for and the possibility of a unified description of kinetic and hydrodynamic processes

TL;DR: In this paper, the authors demonstrate the possibility of a unified description of kinetic and hydrodynamic processes on the basis of a generalized kinetic equation without the use of perturbation theory with respect to the Knudsen number.
Journal ArticleDOI

Physics of collisionless plasma

TL;DR: A review of the literature dealing with two alternative methods of describing nonequilibrium processes in fully ionized plasma can be found in this paper, where Landau damping is used to demonstrate that a number of fundamental problems remain unsolved in the kinetic theory of plasma and that these difficulties can be overcome through consistently defining the structure of continuous medium and the characteristics of dynamic instability of motion.
Journal ArticleDOI

Spatial stochasticity and non-continuum effects in gas flows

TL;DR: In this paper, the authors investigate the relationship between spatial stochasticity and non-continuum effects in gas flows and develop a kinetic model for a dilute gas using strictly a stochastically molecular model reasoning, without primarily referring to either the Liouville or Boltzmann equations for dilute gases.
Journal ArticleDOI

A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method

TL;DR: In this article, a statistical approach to a self-consistent description of kinetic and hydrodynamic processes in systems of interacting particles is formulated on the basis of the nonequilibrium statistical operator method by D.N.Zubarev.
Journal ArticleDOI

Prediction of apparent permeability of porous media based on a modified lattice Boltzmann method

TL;DR: In this article, a modified lattice Boltzmann method considering the volume diffusion effect was presented based on Klimontovich's kinetic equation and Enskog equation-based lattice Bhatnagar-Gross- Krook (LBGK) model.
References
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Journal ArticleDOI

Statistical hydrodynamics

L. Onsager
Book ChapterDOI

Turbulent Motion. The Structure of Chaos

TL;DR: Turbulence was first discovered in connection with the studies of piped flows of incompressible fluids, and for a long time had been treated as a subject of fluid mechanics as mentioned in this paper.
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