Head-on collision of dust acoustic solitons in a nonextensive plasma with variable size dust grains of arbitrary charge

Abstract

The head-on collision of two dust acoustic solitons (DASs) in a nonextensive plasma with positive or negative dust grains fluid including the effect of dust size distribution (DSD) is studied. The phase shifts for the two solitons due to the collision are derived by applying the extended Poincaré-Lighthill-Kuo (PLK) method. The influences of the power law DSD and the nonextensivity of plasma particles on the characteristic properties of the head-on collision of DASs are analyzed. It is found that the phase shifts can vanish, only for the case of positive dust grains, for certain values and ranges of the dust grain radius and the entropic index of ions (q_{i}). Also, they undergo a cutoff in the range of q_{i}>1 for the subextensive distribution. A brief discussion of possible applications in laboratory and space plasmas is included.

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

“…Defining and to be the corresponding phase shifts which can be estimated as follows 54 , 56 and Equations ( 40 ) and ( 41 ) indicate that a negative phase shift for each soliton in its propagation direction occurs as the soliton is traveling to the right while the soliton is traveling to the left. The negative phase shifts implies that the trajectories of the propagated solitons have a lagging behind the expected if they just leaved each other with no interaction 56 , 57 .…”

Linear dust acoustic waves in inhomogeneous dusty plasmas with dust grains having power law size distribution

“…Here, we assume that the dust grains are having power law size distribution [17]. The differential from of power law size distribution is given by n (r) dr = Kr −p dr (22) for r ∈ [a min , a max ] and n (r) = 0 outside the interval, where p is the power law index and n (r) dr is the number of the dust grains per unit volume with radii in the range from r to r + dr. Then we have N tot = amax amin n (r) dr, which gives…”

“…Therefore, an arbitrary dust size distribution (DSD) function is essential to explore in place of monosized dust. In last few decades, different linear and nonlinear waves features have been studied in homogeneous dusty plasmas [19][20][21][22][23][24][25][26][27]. It has been established that the wave propagation is modified due to dust mass and size variation [17,28].…”

Variable‐size dust grains with generalized (r, q) electrons in a dusty plasma

“…[1][2][3] In both space and laboratory experimental plasmas, the dust grains have many different sizes. [11][12][13] Non-Maxwellian distributions are common in astrophysical and space plasmas, e.g. The influence of DSD on the planetary ring thickness has been investigated.…”

“…Recently, some effects of the DSDs on dusty plasma with non-Maxwellian distributions were studied. [11][12][13] Non-Maxwellian distributions are common in astrophysical and space plasmas, e.g. ionosphere, solar wind, interstellar medium, planetary magnetosphere, and magnetosheaths.…”