Basic plasma physics, plasma theory and modeling (BP): Study on modes in a plasma having electrons, positrons and cold drifting ions

In contrast to the usual plasma consisting of electrons and positive ions, it has been observed that nonlinear waves in plasmas having an additional component of positron behave differently. Electron-positron-ion plasma appears in the early universe, in the active galactic nuclei, pulsar magnetosphere, and also in the solar atmosphere. An Electron-positron-ion plasma was studied theoretically and it was shown that ion temperature increases the maximum mach number and decrease the amplitude of ion acoustic wave. In fact most of the astrophysical plasmas usually consist of ions, in addition to the electrons and positrons and therefore it is pertinent to study the behavior of nonlinear wave motions in Electron-positron-ion plasma. In the present paper we carry out the normal mode analysis by starting with the usual fluid equations for Electron, positron and ion fluids. We solve the basic fluid equations for the possible modes by assuming the perturbations of the form exp. The use of small amplitude perturbations of the density, potential and fluid velocities in the basic equations yield different relations between the frequency ω and wave vector k, based on which we analyze whether these modes are stable or unstable under various sets of parameters. We also obtain conditions for the propagation or growth of these modes.

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