Effects of Pauli Paramagnetism and Degeneracy Temperature on Solitary Kinetic Alfven Waves in Quantum Plasma

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 by enhancing the value of factor $$\chi \left[ =T_\mathrm{e}/T_\mathrm{F}\right] $$ for nearly degenerate plasma state and increases by increasing the value of factor $$z\left[ =\exp (\mu /k_\mathrm{B}T_\mathrm{e})\right] $$ 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.