Head-on Collision of Magnetosonic Shock Waves with Separated Spin Evolution in Degenerate Quantum Magnetoplasma

We investigate the wave propagation characteristics and head-on collision of low-frequency magnetosonic waves in a dissipative plasma consisting of classical ions and degenerate inertia-less spin-up and spin-down electrons. Spin features are modeled via the macroscopic spin magnetization current and spin pressure. Employing the extended Poincare–Lighthill–Kuo perturbation method, a couple of Korteweg–de Vries–Burgers (KdVB) type equations are derived for small amplitude counter traveling magnetosonic waves. We traced out the parametric regime of compressive and rarefactive magnetosonic waves based on our plasma configurations. The phase shift effects of magnetosonic shock waves post-collision are also shown. We observe that the colliding process and phase shifts are significantly affected by various system configurational parameters, such as spin polarization, quantum diffraction, spin magnetization energy, and magnetic diffusivity. Importantly, we noticed that the head-on collision of two counter traveling magnetosonic shocks waves bearing spin polarization effect is significantly different from the usual electron–ion quantum plasma case. The work presented is related to the study of collective phenomena related to magnetosonic wave interaction, which is of great importance in dense astrophysical environments.