Correlation between two non-linear events in a dusty plasma system

Abstract

A phenomenological model using fluid theory is developed to show that the decay of two seemingly independent nonlinear structures, namely, dust void and dust soliton, strongly depends on the plasma ionization parameter in an unmagnetized dusty plasma system. The numerical solution of model equations has shown that the evolution of dust voids and their subsequent decay in a time frame are intimately related to the ionization parameter. A similar result also holds good in the case of dust solitons where the stability of solitons is found to depend critically upon the ionization parameter. Most importantly, it is observed that time of the collapse of a dust soliton precedes the onset time of a dust void decay, and therefore, soliton decay acts as a precursor for void decay to occur in a given dusty plasma system.