Arbitrary amplitude dust acoustic solitary waves and double layers in nonthermal plasma including the effect of dust temperature

Abstract

A computational scheme has been developed to study the arbitrary amplitude dust acoustic solitary waves and double layers in nonthermal plasma consisting of negatively charged dust grains, nonthermal ions, and isothermal electrons including the effect of dust temperature. The Sagdeev potential approach, which is valid to study the arbitrary amplitude solitary waves and double layers, has been employed. The computation has been carried out over the entire interval of β1:0≤β1<βM. This β1 is a parameter associated with the nonthermal distribution of ions and βM is the upper bound of β1. Depending on the nature of existence of solitary waves and double layers, the interval for β1 can be broken up into four disjoint subintervals holding the other parameters fixed. By nature of existence of solitary waves and double layers, it is meant that in some subinterval only negative potential solitary waves can exist, whereas in another both negative and positive potential solitary waves can coexist along with a double layer, etc. Corresponding to every β1 lying within a subinterval of β1, there is a definite interval for the Mach number (definite value of the Mach number) for which there exists solitary waves (double layer) specific for that subinterval of β1. The role of dust temperature on the subintervals of β1 and on amplitude of solitary waves and double layers has been explored.

Dust ion-acoustic solitary and shock waves in a dusty plasma with non-thermal electrons

“…Extensive work has been devoted to the study of nonlinear waves associated with the DIA waves, particularly the DIA solitary and shock waves in dusty plasmas in which dust particles are stationary and provide only the neutrality (Das et al 2001(Das et al , 2009Mamun and Shukla 2002b;Ghosh and Bharuthram 2008;Das et al 1998). Actually, this view point may not be a realistic situation in space and laboratory devices because the charge on the dust particles varies with time and space.…”

Influence of arbitrarily charged dust and trapped electrons on propagation of localized dust ion-acoustic waves

“…On the other hand, to obtain the upper limit of the Mach number (M max ), we use the condition φ ≤ φ m (= (M − √ 3σ d ) 2 /2) to analyze the existence of M max (Das et al 2009). In addition this condition for the existence of the positive potential solitary waves, the Mach number M is …”

Effects of dust temperature and trapped ions on the formation of dust-acoustic solitary waves

“…They showed that a suitable distribution of non-thermal ions in a dusty plasma system may change the nature of the dust-acoustic solitary waves and may support the coexistence of large amplitude compressive and rarefactive solitary waves. Also, Das et al [23] investigated arbitrary amplitude dust-acoustic solitary waves and double layers in nonthermal plasma with the effect of dust temperature. They showed that the amplitude of the positive potential double layer decreases with increasing the dust temperature.…”