Effect of incoherence in a heavy nucleus nonlinear wave in a degenerate relativistic magneto-rotating quantum plasma

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2023-11, Vol.77 (11), Article 189
• Main Authors: Chaudhuri, Shatadru, Chowdhury, A. Roy, Chowdhury, K. Roy
• Format: Article
• Language: English
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Coriolis force; Correlation; Density; Incoherence; Molecular; Neutron stars; Optical and Plasma Physics; Physical Chemistry; Physics; Physics and Astronomy; Quantum Information Technology; Quantum Physics; Regular Article – Plasma Physics; Relativistic effects; Rotating plasmas; Rotation; Schrodinger equation; Solitary waves; Spectroscopy/Spectrometry; Spintronics; Stability analysis; Wave propagation; White dwarf stars
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/s10053-023-00769-4

Effect of incoherence is investigated in detail on the nonlinear excitations in a heavy nucleus degenerate relativistic magneto-rotating quantum plasma. Such types of plasma are of immense importance in the description of white dwarfs, neutron stars and black holes. We have utilized the Krylov–Bogoliubov–Mitropolsky approach to deduce the nonlinear Schrödinger equation for the envelope soliton, which is then utilized to deduce the Wigner-type equation for the density correlation function ⟨ ρ ( x , t ) ρ ∗ ( x ′ , t ′ ) ⟩ to take into account the incoherence in the initial density of the system. The present equation is then analysed for the stability for different plasma parameters such as the magnetic field, Coriolis force and the angle of propagation of the wave. It is observed that in some cases the growth rate shows a negative value indicating to the fact that for some parametric values a stable structure is formed. Graphic abstract