Time-dependent closure relations for relativistic collisionless fluid equations

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.82.056401· OSTI ID:21502854

Bendib-Kalache, K; Bendib, A ^[1]; El Hadj, K Mohammed ^[1]

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1. Laboratoire Electronique Quantique, Faculte de Physique, USTHB, BP32 El Alia, 16111 Bab Ezzouar, Algiers (Algeria)

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 ({omega},k), where {omega} 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 {omega}/kc where c is the speed of light, and for arbitrary relativistic parameter z=mc{sup 2}/T, where m is the particle rest mass and T, the plasma temperature in energy units.

• OSTI ID: 21502854
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevE.82.056401; (c) 2010 The American Physical Society; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
COLLISIONLESS PLASMA
CONTINUED FRACTIONS
ELECTRON TEMPERATURE
FLUIDS
HEAT FLUX
ION TEMPERATURE
MATHEMATICAL SPACE
PROJECTION OPERATORS
RELATIVISTIC RANGE
REST MASS
STRESSES
TENSORS
TIME DEPENDENCE
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
MASS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
SPACE