scholarly journals Kinetic derivation of new form of Stefan-Maxwell relations and anisotropic transport coefficients for partially ionized gases in an external magnetic field

2017 ◽  
pp. 1-35
Author(s):  
Aleksandr Vladimirovich Kolesnichenko
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Transport Coefficients ◽  
Anisotropic Transport ◽  
New Form ◽  
Partially Ionized

ALFVÉN WAVES IN PARTIALLY IONIZED GASES

1961 ◽  
Vol 39 (8) ◽  
pp. 1197-1211 ◽  
Author(s):  
Tomiya Watanabe
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Ionized Gas ◽  
Partially Ionized

The conditions for a wave, propagated in a partially ionized gas along an external magnetic field, to be of Alfvén type have been obtained.

scholarly journals Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ankit Kumar Panda ◽  
Ashutosh Dash ◽  
Rajesh Biswas ◽  
Victor Roy
Keyword(s):  
Magnetic Field ◽  
Relaxation Time ◽  
Transport Coefficients ◽  
Second Order ◽  
Navier Stokes ◽  
Relaxation Time Approximation ◽  
Moment Approximation ◽  
System Of Particles ◽  
Anisotropic Transport ◽  
The Magnetic Field

Abstract We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and antiparticles using Chapman-Enskog like gradient expansion of the single-particle distribution function truncated at second order. In the first order, the transport coefficients are independent of the magnetic field. In the second-order, new transport coefficients that couple magnetic field and the dissipative quantities appear which are different from those obtained in the 14-moment approximation [1] in the presence of a magnetic field. However, in the limit of the weak magnetic field, the form of these equations are identical to the 14-moment approximation albeit with different values of these coefficients. We also derive the anisotropic transport coefficients in the Navier-Stokes limit.

Model Fokker—Planck Equations: Part 3. Application to transport phenomena

1967 ◽  
Vol 1 (3) ◽  
pp. 327-339 ◽  
Author(s):  
J. P. Dougherty ◽  
S. R. Watson ◽  
M. A. Hellberg
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Strong Magnetic Field ◽  
Transport Phenomena ◽  
Transport Coefficients ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Complete Set ◽  
Fokker Planck Equations ◽  
Fokker Planck

The Chapman—Enskog expansion is applied to the model Fokker—Planck equation for a plasma, derived in part 2. It is shown that the complete set of transport coefficients can be calculated without further approximations. Results are derived first in the absence of any external magnetic field. The transport coefficients are also derived when there is a strong magnetic field, in which case they become anisotropic.

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