Electron-acoustic waves in a plasma with a κ-deformed Kaniadakis electron distribution

Abstract

We examine the effects of the κ-deformed Kaniadakis electron distribution on small amplitude electron-acoustic double-layers (EADLs). The deformed mean kinetic energy of the electrons is computed to narrow the values of the deformation parameter κ that underpins Kaniadakis entropy. It is shown that the Kaniadakis entropy effect is to higher the critical Mach number beyond which EADLs are admitted. An increase of |κ| leads to a decrease of the critical value of the density ratio beyond which the EADLs cease to exist. This alternative generalization may contribute to the ongoing investigations involving generalized entropies in the context of plasma physics. One can also devise an experimental approach to constrain what κ is in a given experiment or natural phenomenon.