Potential created by a test particle in one-, two- and three-dimensions in a flowing ion-electron plasma

Abstract

In a plasma at rest, the electrostatic potential around a point charge obeys the well-known Debye shielding law. Modifications, for the ease of a flowing plasma, have been studied in the limiting cases of either long or short distances for subsonic and hypersonic velocities. Only recently this was extended to include all distances, restricted to a two-dimensional case. However, neither of these modifications includes the ionic motions. In this paper, we derive general expressions for the electrostatic potential which are valid for all distances and flow velocities in one-, two- and three-dimensional cases. This is done first with unperturbed ions, and then for the case where ionic motions, which are seen to be important for mesothermic flow velocities, are included. In both cases, the results are discussed and illustrated.

Long-range attraction between particles in dusty plasma and partial surface tension of a dusty phase boundary

“…This effect is well known in the usual electron-ion plasma [13][14][15]. When the charge is moving, the static Debye screening modifies so that the potential in the oncoming flow of electrons grows approaching to the Coulomb potential with an increasing of velocity while the potential in the outward flow decreases up to alternating of its sign.…”

Shielding of a moving test charge in a quantum plasma

“…The Debye shielding of a moving test charge in a classical plasma is one of the most fundamental problems in plasma physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In the collisionless case the motion is known to result in the 1/r 3 -dependence of the potential at large distances [4].…”

Potential distribution around the charged particle in the collisional weakly ionized plasma in an external electric field

“…Anisotropic or wake potential around a charged particle in plasma with ion drift is the most thoroughly studied problem for collisionless or rare collisions conditions [1][2][3][4]. But, string-like structures of dust particles have been observed in the discharge plasma where a mean free path of ions is three times smaller than interparticle distance [5].…”