Dust-ion-acoustic Gardner double layers in a dusty plasma with two-temperature electrons

Abstract

The properties of dust-ion-acoustic Gardner double layers (DIA GDLs) in an unmagnetized dusty plasma, whose constituents are negatively-charged stationary dust, inertial ions, and Boltzmann electrons of two distinct temperatures, are rigorously investigated by employing the reductive perturbation method: Gardner approach. The standard Gardner equation is derived, and its double layer (DL) solution is obtained. It has been shown that the properties of the DIA GDLs are significantly modified by some plasma parameters (viz. σ=Te1/Te2, μe1=ne10/ni0, and μe2=ne20/ni0, where Te1 (Te2) is the cold (hot) electron temperature, ne10 (ne20) is the cold (hot) electron number density at equilibrium, and ni0 is the ion number density at equilibrium). The implications of our investigation in understanding the basic features of nonlinear electrostatic perturbations observed in many space plasma systems and laboratory devices are briefly discussed.