Nonextensive collisioneless dust-acoustic shock waves in a charge varying dusty plasma

Abstract

Nonlinear dust-acoustic (DA) shock waves are addressed in a nonextensive dusty plasma exhibiting selfconsistent nonadiabatic charge variation. Our results reveal that the amplitude, strength and nature of the DA shock waves are extremely sensitive to the degree of ion nonextensivity. Significant differences in the potential function occur for very small changes in the value of the nonextensive parameter. Stronger is the ions correlation, more important is the charge variation induced nonlinear wave damping.

Nonlinear Dynamics of Circularly Polarized Laser Pulse Propagating in a Magnetized Plasma with q ‐Nonextensive Velocity Distributions

“…However, for the systems which are far away from their thermodynamic equilibrium with the long-range interactions, such as self-gravitating systems and some kinds of plasma turbulence, Maxwellian distributions may not explain their behavior [27][28][29][30][31]. However, for the systems which are far away from their thermodynamic equilibrium with the long-range interactions, such as self-gravitating systems and some kinds of plasma turbulence, Maxwellian distributions may not explain their behavior [27][28][29][30][31].…”

“…As is well known, Maxwellian distribution in BoltzmannGibbsShannon (BGS) statistics is valid universally for the macroscopic ergodic equilibrium systems. However, for the systems which are far away from their thermodynamic equilibrium with the long-range interactions, such as self-gravitating systems and some kinds of plasma turbulence, Maxwellian distributions may not explain their behavior [27][28][29][30][31]. Therefore, a new statistical approach named nonextensive statistic mechanics based on the deviations of BGS entropic measurement may be proposed.…”