Abstract
The combined effect of the cylindrical boundary and the adiabatic variation in dust charges on the spatiotemporal evolution of the overlapping soliton in a dusty plasma is studied in detail. We derive the mathematical expression of the overlapping soliton and investigate the effect of dust charging and the influence of its adiabatic variation on the evolution process of the soliton structure. Numerical results indicate that the basic properties of the merged pulse are partially similar to the recent experimental results reported for the interaction of planar solitons in strongly coupled dusty plasmas by Harvey et al., Phys. Rev. E 81, 057401 (2010) and Sharma et al. Phys. Rev. E 89, 013110 (2014). Moreover, it is found that the soliton amplitude and the occurrence time of its peak value increase with the increase in Rn and RT, and the increasing rate of the peak amplitude decreases with the increase in Rn and increases with the increase in RT. As time t increases, the overlapping soliton moves to the inside-traveling direction (i.e., r → 0); before reaching the peak amplitude, the merged pulse gradually increases its amplitude and decreases its width and traveling velocity; after reaching the peak amplitude, the soliton gradually decreases its amplitude and increases its width and velocity. It is also noted that when dust charge variation is considered, solitons with bigger values of Rn (or RT) experience longer phase delays. Comparatively speaking, Rn has a more remarkable effect on the physical properties of the overlapping soliton.
Highlights
Dusty plasmas, a type of typical multi-component plasma systems, are usually characterized as fully or partially ionized gaseous media consisting of ions, electrons, and highly charged massive dust grains
Motivated by the above, considering the important research value of dusty plasma in space and laboratory plasmas, the aim of the present paper is to study the effects of dust charging and the influence of its adiabatic variation on the spatiotemporal evolution process of overlapping soliton induced by the concentric interaction of cylindrical DA solitons
It is demonstrated that as Rn increases, the occurrence time of the peak amplitude increases; this indicates that the traveling velocity of the overlapping soliton decreases with the increase in Rn
Summary
A type of typical multi-component plasma systems, are usually characterized as fully or partially ionized gaseous media consisting of ions, electrons, and highly charged massive dust grains. The presence of dust grains may greatly influence the collective properties and associated instabilities of a plasma that are not found in the usual two component electron-ion plasma. It is well recognized that the dust particles are, in general, significantly bigger (typically of micrometer sized), highly charged (∼103 − 105e), and more massive (billions of times) than ions and electrons.[1] The dust grains are generally negatively charged by various charging processes (e.g., field emission, ultra-violet ray irradiation, plasma currents, etc.),[2–5] and the charges residing on the dust grains are not always fixed; they vary with the plasma properties. Dusty plasmas are widespread in the cosmical and astrophysical environments (e.g., interstellar media, supernova remnants, molecular dust clouds, etc.), in the Martian atmosphere, in the planetary rings, in the surrounding surfaces of sun and moon, in the Earth’s ionosphere and mesosphere, and in man-made environments such as some industrial processes (e.g., nanotechnology, magnetic fusion reactors, etc.), satellite destructions, rocket exhausts, and in many laboratory scitation.org/journal/adv experiments.[6–12] During the last decades, the study of dust plasmas has become an increasingly important research area of modern plasma physics.[13–19]
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