Debye shielding distortion of dust grains in dusty plasmas

Abstract

The shielded potential and the energy loss of N2 projectiles propagating through a multicomponent dusty plasma are studied. Analytically general expressions have been obtained for the potential and for the energy loss, taking into account the two-body correlation effects. However, numerical calculations have been performed for one, three, and six projectiles, incorporating interference between two consecutive projectiles. It is found that the correlation effect causes distortion in the potential profile depending upon the separation between the two projectiles. The distortion becomes pronounced for separation smaller than the Debye length.

Effects of dust-charge fluctuations on the potential of an array of projectiles in a partially ionized dusty plasma

“…In this paper, we extend the work of Faisal et al 19 by incorporating the effects of dust-charge fluctuation and the dust-neutral collisions for an array of dust grain projectiles. We have derived a generalized expression for the Debye potential and the wake field due to N 2 projectiles constituting N number of columns and N number of inclined rows, moving through a multicomponent dusty plasma with a constant velocity V p .…”

“…Integrating over , the electrostatic potential for an array of dust grain projectiles 19 reduces to 1 ͑ r,t ͒ϭ…”

“…The dust grain projectiles are assumed to lie in a plane, arranged in a right angle triangular array. 19 The position vector r ␣␤ is defined as r ␣␤ ϭV p tϪ(␣Ϫ1)RϪ(␤Ϫ1)B where RϭBϪD is the separation between the two consecutive projectiles, B and D are the parallel and perpendicular components of the separation vector R. Applying space-time Fourier transformations, Eqs. ͑2͒ and ͑3͒ can be written as…”

“…Faisal et al 19 extended the study to an array of dust grain projectiles moving with a constant velocity through a dusty plasma and showed how a potential well is formed due to the superimposition of negative wakes of adjacent four projectiles for a particular separation. More recently, an attractive wake potential for elongated dust grain projectiles in a multicomponent dusty plasma was studied 20 by incorporating the dipole moment and the moment of inertia of the grain.…”

Precise energy eigenvalues of hydrogen-like ion moving in quantum plasmas

“…Quantum plasma's are generally made of electrons and ions or holes. The studies on quantum plasma got importance in several branches of applied physics specially in nano-science [19][20][21] as well as in laboratory plasma experiments [22][23][24][25] and in astrophysical scenario [26][27][28]. Pine [29] have treated an arbitrary collision-less quantum plasma environment as a dielectric medium and derived the analytic form of dielectric function using Random Phase Approximation (RPA) method.…”