Dusty plasma sheath with non-extensive electrons and an inhomogeneous magnetic field

Abstract

In this paper, we analyze the impact of the non-uniform magnetic field in the sheath of a complex plasma within the framework of a non-extensive distribution of electrons (\(q\ne 1\)). Our analysis reveals that the evolution of the magnetic field profile plays a significant role in the sheath formation by influencing the electric potential, density, and velocity of plasma species, as well as the dynamics of dust particles within the sheath. Through a careful comparison of simulation data from one-dimensional fluid models between two configurations: the inhomogeneous magnetic field and the uniform one, under various values of the q-parameter, we demonstrate the necessity of considering the inhomogeneity of the magnetic field in fluid models to accurately describe the structure of the sheath. In particular, the results show that when a non-uniform magnetic field is considered, the structure of the sheath changes significantly when \(q<1\). For instance, the inhomogeneous magnetic field, especially at low q values, demonstrates the ability to control and confine ions within the plasma sheath, while also reducing the presence of dust grains.