Inhomogeneity Effects on Energy and Instability of Ion-Acoustic Solitary Waves in Quantum Magnetized Plasma

Computational investigations have delved into the dynamics of non-uniform, multi-species plasmas permeated by an external magnetic field. These plasmas harbor massive ions characterized by significant inertia, non-Maxwellian electrons deviating from thermal equilibrium, and positrons adhering to the Boltzmann distribution, a well-defined statistical framework we have derived theVariable coefficients Zakharov Kuznetsov (VZK) equation. The inhomogeneity affect the solitary wave structures through the scale length of the density through x/L. The soliton’s electric field, instability growth rate and energy are also derived. All are affected by x/L and components temperatures. We systematically compared the energy and instability growth rate of the system across various parameters. Notably, high ion density, velocity, and electron temperature coincided with maximized energy and minimized instability growth rate. This suggests that e-p-i plasmas within intense laser-solid matter interactions, semiconductor plasmas, magnetic white dwarfs, and magnetar coronae may exhibit similar behavior. Our findings offer valuable insights into the dynamics of these complex systems.