Magnetosonic shock wave in collisional pair-ion plasma

Abstract

Nonlinear propagation of magnetosonic shock wave has been studied in collisional magnetized pair-ion plasma. The masses of both ions are same but the temperatures are slightly different. Two fluid model has been taken to describe the model. Two different modes of the magnetosonic wave have been obtained. The dynamics of the nonlinear magnetosonic wave is governed by the Korteweg-de Vries Burgers' equation. It has been shown that the ion-ion collision is the source of dissipation that causes the Burgers' term which is responsible for the shock structures in equal mass pair-ion plasma. The numerical investigations reveal that the magnetosonic wave exhibits both oscillatory and monotonic shock structures depending on the strength of the dissipation. The nonlinear wave exhibited the oscillatory shock wave for strong magnetic field (weak dissipation) and monotonic shock wave for weak magnetic field (strong dissipation). The results have been discussed in the context of the fullerene pair-ion plasma experiments.

Overtaking Collisions of Ion Acoustic N-Shocks in a Collisionless Plasma with Pair-Ion and (α,q) Distribution Function for Electrons

“…In [32,33], the authors have confirmed the production of shock waves in the Q-machine with negative ions. Adak et al [34,35] have reported the nonlinear IA shock in a pair-ion (C + 60 , C − 60 ) plasma by deriving the Korteweg-de Vries equation Burgers equation (KdVBE) with the presence of weakly dissipative media. Further, the N-wave phenomena may interact with each other in two different ways.…”

Head-on Collision of Ion-Acoustic Shock and Solitary Waves in Collisionless Plasma with Pair Ions and Electrons

“…The productions of shocks in Q-machine with negative ions are reported [36,37]. Adak et al [38,39] have studied the magnetosonic shocks and investigated the effect of ion-ion interactions on the dynamics of nonlinear IAWs in fully collisional pair-ion (C 60 + ,C 60 − ) plasmas along with KdV Burger equation using reductive perturbation method and found that the positive (negative) potential IAWs exists when 𝑇𝑇 − > 𝑇𝑇 + ( 𝑇𝑇 − < 𝑇𝑇 + ). Hossain et al [40] have investigated the nonlinear ion-acoustic monotonic as well oscillatory shock waves in negative ion plasmas with nonextensive electrons.…”

Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

“…To mention few, Misra and Adhikary [22] discussed the propagation of SWs in a pair-ion plasma and they found that such plasmas support only the rarefactive solitons in presence of positively charged dust grains. Also, Adak et al [23] studied the propagation of shocks in a collisional pair-ion plasma. Furthermore, Misra and Barman [24] discussed the effects of obliqueness and magnetic field on the propagation of DIA SWs in magnetized pair-ion plasmas and concluded that the transition of solitary wave from rarefactive to compressive depends on the mass ratio of negative to positive ions.…”