Frequency‐Dependent Transport Coefficients in Fluid Mechanics

1965 ◽  
Vol 43 (2) ◽  
pp. 714-720 ◽  
Author(s):  
Robert Zwanzig
Keyword(s):  
Fluid Mechanics ◽  
Transport Coefficients ◽  
Frequency Dependent ◽  
Dependent Transport

Plasmadynamical description of two-component weakly coupled plasma

1980 ◽  
Vol 24 (2) ◽  
pp. 265-285 ◽  
Author(s):  
W. Rozmus
Keyword(s):  
Kinetic Equation ◽  
Transport Coefficients ◽  
Frequency Dependent ◽  
Weakly Coupled ◽  
Two Component ◽  
Component Plasma ◽  
Explicit Formulae ◽  
Dependent Transport

Plasmadynamical equations for a two-component plasma are obtained starting from the linearized Vlasov–Landau kinetic equation. Explicit formulae are given for the frequency dependent transport coefficients. Eigenvalues of ten plasmadynamical modes are also discussed.

Statistical theory of frequency-dependent transport coefficients. Part 1. A two-fluid plasma in a magnetic field

1976 ◽  
Vol 16 (3) ◽  
pp. 299-320 ◽  
Author(s):  
G. Vasu
Keyword(s):  
Magnetic Field ◽  
Statistical Theory ◽  
Transport Coefficients ◽  
Time Lag ◽  
Natural Extension ◽  
Frequency Dependent ◽  
Lag Effects ◽  
Dependent Transport ◽  
Two Fluid ◽  
Two Fluid Plasma

The statistical theory of the transport coefficients which was formulated in a previous paper (Vasu, 1976) is exemplified here by the case of a two-fluid plasma in a magnetic field. In addition, a general method is given which allows us to calculate frequency dependent transport coefficients; this method is a natural extension of the paper mentioned above. In the static limit, the transport coefficients obtained for the two-fluid plasma in a magnetic field are similar to those reported by Braginsky (1963) although there are some numerical differences. The frequency dependent transport coefficients obtained here include important resonant and time lag effects.

Anomalous transport coefficients in a magnetized turbulent plasma

1982 ◽  
Vol 28 (2) ◽  
pp. 193-214 ◽  
Author(s):  
Qiu Xiaoming ◽  
R. Balescu
Keyword(s):  
Transport Coefficients ◽  
Collision Operator ◽  
Turbulent Plasma ◽  
Anomalous Transport ◽  
Weak Turbulence ◽  
Dissipative Effects ◽  
Dependent Transport ◽  
Two Fluid ◽  
Two Fluid Plasma

In this paper we generalize the formalism developed by Balescu and Paiva-Veretennicoff, valid for any kind of weak turbulence, for the determination of all the transport coefficients of an unmagnetized turbulent plasma, to the case of a magnetized one, and suggest a technique to avoid finding the inverse of the turbulent collision operator. The implicit plasmadynamical equations of a two-fluid plasma are presented by means of plasmadynamical variables. The anomalous transport coefficients appear in their natural places in these equations. It is shown that the necessary number of transport coefficients for describing macroscopically the magnetized turbulent plasma does not exceed the number for the unmagnetized one. The typical turbulent and gyromotion terms, representing dissipative effects peculiar to the magnetized system, which contribute to the frequency-dependent transport coefficients are clearly exhibited.

scholarly journals Evolution Equation and Transport Coefficients of Swarms in Initial Relaxation Processes

1987 ◽  
Vol 40 (3) ◽  
pp. 367 ◽  
Author(s):  
Keiichi Kondo
Keyword(s):  
Evolution Equation ◽  
Transport Coefficients ◽  
Collision Operator ◽  
Operator Method ◽  
Time Dependent ◽  
Relaxation Processes ◽  
Projection Operator Method ◽  
Model Collision ◽  
The Difference ◽  
Dependent Transport

The problem of a swarm approaching the hydrodynamic regime is studied by using the projection operator method. An evolution equation for the density and the related time-dependent transport coefficient are derived. The effects of the initial condition on the transport characteristics of a swarm are separated from the intrinsic evolution of the swarms, and the difference from the continuity equation with time-dependent transport coefficients introduced by Tagashira et al. (1977, 1978) is discussed. To illustrate this method, calculations on the relaxation model collision operator have been carried out. The results are found to agree with the analysis by Robson (1975).

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