Effects of Pauli Paramagnetism and Degeneracy Temperature on Solitary Kinetic Alfven Waves in Quantum Plasma
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RESEARCH ARTICLE-PHYSICS
Effects of Pauli Paramagnetism and Degeneracy Temperature on Solitary Kinetic Alfven Waves in Quantum Plasma Nauman Sadiq1 · Mushtaq Ahmad1 Received: 26 April 2020 / Accepted: 20 October 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract We investigate the propagation characteristics of nonlinear kinetic Alfven waves in quantum plasma with effects of Pauli paramagnetism and degeneracy temperature. In an arbitrary amplitude regime, we derive the energy integral equation by employing the quantum magnetohydrodynamic model. From the graphical analysis, it is found that the width of soliton structure decreases byenhancing the value of factor χ [= Te /TF ] for nearly degenerate plasma state and increases by increasing the value of factor z = exp(μ/kB Te ) for nearly non-degenerate plasma state, while there is no change in its amplitude. Moreover, it is also revealed that by changing the value of magnetic field strength H the width of the nonlinear structure is modified more in case of nearly degenerate plasma state as compared to a nearly non-degenerate plasma state with no change in its amplitude. The importance of the present work to astrophysical plasmas such as white dwarfs and neutron stars is also highlighted. Keywords Kinetic Alfven waves · Quantum plasma · Pauli paramagnetism · Degeneracy temperature
1 Introduction The field of quantum plasma has gained much interest due to its wide range of applications in astrophysical plasmas [1,2], solid-state objects [3] and inertial confinement processes etc. [4]. Quantum plasmas normally have high number density and low thermal temperature and follow Fermi–Dirac (FD) distribution function in contrary to classical plasmas. In quantum plasma, the Fermi temperature is always equal or larger than the thermal temperature of the system. The quantum hydrodynamic (QHD) model for magnetized quantum plasma was initially derived by Ref. [5] to understand the physical phenomena in the presence of Fermi pressure and Bohm potential in the system. Later on, by using the same model, quantum effects on linear and nonlinear properties of low-frequency waves have been investigated in dense quantum plasma. Normally, the degenerate matter can be modeled on the basis of ideal Fermi gas. The key feature of degeneracy pressure in an ideal gas is that it will remain nonzero even at 0 K. Additionally, degeneracy pressure depends only on the density of degenerate electrons,
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Nauman Sadiq [email protected] Department of Physics, FBAS, International Islamic University (IIUI), Islamabad 44000, Pakistan
not on thermal temperature. Forgone in view, in the past, the effect of degeneracy with quantum recoil was investigated by Melrose and Mushtaq [6,7] using FD distribution in terms of a polylogarithmic function. In a similar manner, Refs. [8,9] have studied in detail the ion acoustic waves and magnetosonic waves by incorporating arbitrary degeneracy of electrons. Recently, the linear and nonlinear properties of kinetic Alfven waves (KAWs) in quantum p
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