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Time-dependent closure relations for relativistic collisionless fluid equations.

K Bendib-Kalache¹, A Bendib, K Mohammed El Hadj

¹Laboratoire Electronique Quantique, Faculté de Physique, USTHB, BP32 El Alia, 16111 Bab Ezzouar, Algiers, Algeria. karimabendib@hotmail.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

This study derives linear fluid equations for relativistic plasmas. Analytical closure relations are computed using the relativistic Vlasov equation, yielding generalized heat flux and stress tensor calculations.

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Area of Science:

Plasma Physics
Relativistic Plasma Dynamics
Kinetic Theory

Background:

Fluid equations are essential for describing plasma behavior.
Relativistic effects become significant in high-energy plasmas.
Collisionless plasmas require kinetic descriptions for accuracy.

Purpose of the Study:

Derive linear fluid equations for relativistic, collisionless plasmas.
Develop analytical closure relations from the relativistic Vlasov equation.
Calculate generalized heat flux and stress tensor for arbitrary parameters.

Main Methods:

Utilized projection operator techniques.
Employed continued fraction mathematical tools.
Performed analysis in Fourier space (ω,k).

Main Results:

Successfully derived linear fluid equations for relativistic plasmas.
Computed analytical closure relations for the fluid equations.
Obtained generalized heat flux and stress tensor expressions.

Conclusions:

The derived fluid equations provide a framework for studying relativistic plasmas.
The analytical closures enable accurate calculations under various conditions.
This work advances the understanding of kinetic-fluid connections in relativistic regimes.