Eur. Phys. J. Plus (2017) 132: 457
https://doi.org/10.1140/epjp/i2017-11746-7

Regular Article

Planar and non-planar nucleus-acoustic shock structures in self-gravitating degenerate quantum plasma systems

¹ Department of Physics, Jahangirnagar University, Savar, 1342, Dhaka, Bangladesh
² Department of EEE, Bangladesh University of Business and Technology, Mirpur-2, 1216, Dhaka, Bangladesh

^* e-mail: saadzamanshaon@gmail.com

Received: 18 June 2017
Accepted: 7 October 2017
Published online: 6 November 2017

Abstract

The basic properties of planar and non-planar (spherical and cylindrical) nucleus-acoustic (NA) shock structures (SSs) in a strongly coupled self-gravitating degenerate quantum plasma system (containing strongly coupled non-relativistically degenerate heavy nuclear species, weakly coupled non-relativistically degenerate light nuclear species, and inertialess non-/ultra-relativistically degenerate electrons) have been investigated. The generalized quantum hydrodynamic model and the reductive perturbation method have been used to derive the modified Burgers equation. It is shown that the strong correlation among heavy nuclear species acts as the source of dissipation and is responsible for the formation of the NA SSs with positive (negative) electrostatic (self-gravitational) potential. It is also observed that the effects of non-/ultra-relativistically degenerate electron pressure, dynamics of non-relativistically degenerate light nuclear species, spherical geometry, etc., significantly modify the basic features of the NA SSs. The applications of our results in astrophysical compact objects like white dwarfs and neutron stars are briefly discussed.