String effects on elastic collisions of ions with strings of dust grains in dusty plasmas

Abstract

The elastic collision of ions with strings of strongly coupled dust grains in dusty plasmas is investigated using the eikonal analysis. The dust string has been considered as the one-dimensional model for strongly coupled dusty plasmas. The impact parameter method is applied to investigate the variation of the eikonal phase and elastic cross section as functions of the Debye length, number of dust grains, spacing of dust grains, and collision energy. The result shows that the eikonal phase and the total scattering cross section are increased with increasing Debye length. It is also found that the eikonal phase increases with increasing dust spacing, i.e., the length of dust string, and with the increasing number of dust grains due to the collective effects.