280 research outputs found
Analysis of the Relaxation Process using Non-Relativistic Kinetic Equation
We study the linearized kinetic equation of relaxation model which was
proposed by Bhatnagar, Gross and Krook (also called BGK model) and solve the
dispersion relation. Using the solution of the dispersion relation, we analyze
the relaxation of the macroscopic mode and kinetic mode. Since BGK model is not
based on the expansion in the mean free path in contrast to the Chapman-Enskog
expansion, the solution can describe accurate relaxation of initial disturbance
with any wavelength. This non-relativistic analysis gives suggestions for our
next work of relativistic analysis of relaxation.Comment: 18 pages, 14 figures, accepted for publication in Prog. Theor. Phys
Evolutionary Conditions in the Dissipative MHD System Revisited
The evolutionary conditions for the dissipative continuous
magnetohydrodynamic (MHD) shocks are studied. We modify Hada's approach in the
stability analysis of the MHD shock waves. The matching conditions between
perturbed shock structure and asymptotic wave modes shows that all types of the
MHD shocks, including the intermediate shocks, are evolutionary and perturbed
solutions are uniquely defined. We also adopt our formalism to the MHD shocks
in the system with resistivity without viscosity, which is often used in
numerical simulation, and show that all types of shocks that are found in the
system satisfy the evolutionary condition and perturbed solutions are uniquely
defined. These results suggest that the intermediate shocks may appear in
reality.Comment: 13 pages, 4 figures, accepted for publication in Prog. Theor. Phy
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