Modeling and simulation of large-amplitude ion-acoustic shocklets in degenerate quantized plasmas

A B S T R A C T Nonlinear propagation and formation of the large-amplitude ion-acoustic (IA) shocklets are studied in a magnetized dense plasma by taking into account the degenerate quantized electrons and classical ions. The ion-fluid equations are nonlinearly coupled and solved together along with a charge-neurality con-dition to account for the Landau quantization, normalized electron temperature and ion-thermal cor-rections. Relying on the diagonalization matrix technique, a set of modified characteristic wave equa-tions is derived to support the IA waves both analytically and numerically in a dense quantized plasma. The solitary pulses are found as localized and symmetric at time t = 0 . However, non-stationary solu-tions introduce bipolar (asymmetrical) structures in the form of shocklets, that are characterized by the self-steepening and wave breaking effects as long as the time progresses. The excitations of these soli-tary waves and shocklets become significantly modified in the presence of quantizing magnetic fields, trapped/untrapped electrons and ion-thermal corrections. The present findings are helpful to understand the large-amplitude shock excitations in degenerate dense plasmas, where strong magnetic fields quan-tize the motion of inertialess electrons. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This study investigates the phenomenon of nonlinear propagation and formation of large-amplitude ion-acoustic shocklets in a magnetized dense plasma, taking into account degenerate quantized electrons and classical ions. Using diagonalization matrix technique, a set of modified characteristic wave equations is derived to support ion-acoustic waves both analytically and numerically. The excitation of solitary waves and shocklets is significantly modified in the presence of quantizing magnetic fields, trapped/untrapped electrons, and ion-thermal corrections, providing insights into the behavior of large-amplitude shock excitations in degenerate dense plasmas.