Modulation of Heavy Nucleus Acoustic Waves in a Degenerate Relativistic Plasma

Abstract

Basic features of an ultra-low frequency heavy nucleus acoustic (HNA) wave in a three-component (electrons, light nuclei and heavy nuclei) degenerate relativistic plasma model has been studied by taking the dynamics of the heavy nuclei. Here, the electrons and light nuclei are considered degenerate and relativistic. A nonlinear modified Schrödinger equation (mNLSE) is derived here, by employing the reductive perturbation technique. On the basis of the associated plasma parameters, the stability of the electrostatic wave mode, angular frequency, group velocity, dissipative damping coefficient, modulational instabilities, etc., are studied. The results of this paper would be useful in understanding the basic features of ultra-low frequency heavy nucleus acoustic waves in degenerate relativistic plasmas occurring in astrophysical systems, such as a white dwarf astrophysical plasma.