Propagation of hydromagnetic waves in a two-population plasma system consisting of anisotropic relativistic and nonrelativistic polytropic fluids

Physics

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Magnetohydrodynamic Waves, Macroinstabilities, Relativistic Plasmas, Magnetohydrodynamics, Two-Fluid And Multi-Fluid Plasmas, Transport Properties, Magnetohydrodynamic And Fluid Equation, Magnetohydrodynamics And Plasmas

Scientific paper

The paper discusses the propagation of waves and instabilities in a plasma model which consists of the concatenation of two magnetohydrodynamic (MHD) fluids, one of which is relativistic and has anisotropic pressure components given by double adiabatic equations derived by Gedalin [Phys. Rev. E 47, 4354 (1993)] while the other one has pressure components given by generalized polytropic laws. The polytropic laws, though empirical, are useful in that the appropriate values of the polytropic indices enable one to apply the treatment to a variety of situations ranging from an anisotropic ultrarelativistic plasma to an ordinary nonrelativistic isotropic plasma. A linearized analysis is carried out and the dispersion relation is derived using the normal mode technique. The dispersion relation, which gives numerous earlier results in special cases, is discussed both analytically as well as numerically for parameters which simulate cosmic rays and the background interstellar plasma as two MHD components. An additional mode of propagation that arises due to the concatenation of the MHD components is the only mode which transports energy in the direction perpendicular to the ambient magnetic field. Situations where this model supports instabilities are also discussed.

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