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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
Abstract:
Linear fluid equations for relativistic and collisionless plasmas are derived. Closure relations for the fluid equations are analytically computed from the relativistic Vlasov equation in the Fourier space (ω,k), where ω and k are the conjugate variables of time t and space x variables, respectively. The mathematical method used is based on the projection operator techniques and the continued fraction mathematical tools. The generalized heat flux and stress tensor are calculated for arbitrary parameter ω/kc where c is the speed of light, and for arbitrary relativistic parameter z=mc²/T , where m is the particle rest mass and T, the plasma temperature in energy units.
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