Cylindrical and spherical ion acoustic shock waves with two temperature superthermal electrons in dusty plasma
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Cylindrical and spherical ion acoustic shock waves with two temperature superthermal electrons in dusty plasma Sona Bansal1,a , Munish Aggarwal2 , and Tarsem S. Gill3 1 2 3
Sikh National College, Banga 144505, India Department of Physics, DAV University, Jalandhar 144012, India Department of Physics, Guru Nanak Dev University, Amritsar 143 005, India Received 2 June 2020 / Received in final form 13 September 2020 / Accepted 28 September 2020 Published online 3 December 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. In the present study, the cylindrical/spherical ion acoustic shock waves have been investigated in unmagnetized dusty plasma consisting of positive ions, immobile dust particles and kappa distributed cold and hot electrons. A multiple scale expansion method is employed to derive Burgers equation (BE) and modified Burgers equation (MBE) by including higher order nonlinearity. The basic characeristics of the shock waves have been analyzed numerically and graphically for different physical parameters relevant to space and laboratory dusty plasma environments through 2D figures. We show that the amplitude of the wave decreases faster as one departs away from the axis of the cylinder or centre of the sphere. Such decaying behaviour continues as time progresses. Furthermore, the parametric dependence of wave properties (amplitude, width) on kappa index, density and temperature of cold and hot electrons, concentration of dust particles, thermal effects and kinematic viscosity of ions has been studied in detail and findings obtained here will be beneficial to further astrophysical investigations.
1 Introduction The interplay of plasma and dust in the universe has opened a very fascinating area of research known as “dusty plasmas”. In recent years, a large percentage of studies in plasma physics has concentrated on dusty plasmas. Dusty plasmas are fully or partially ionised gas consisting of micron sized grains of solid matte, which acquire charge by the interaction with ions and electrons in the plasma. Since the charging and dynamics of massive charged dust grains involve in a dusty plasma system, it can be characterized as a complex plasma system [1]. A dust grain can attain both a positive and negative charge. The important dust grain charging processes are interaction of dust grains with gaseous plasma particles, interaction of dust grains with energetic particles (electrons and ions) and interaction of dust grains with photons. The principal mechanisms by which dust grains become positively charged are photoemission, thermoionic emission and secondary emission of electrons from the surface of dust grains. Dust grains are usually negatively charged as they collect electrons from the background plasma. These space environments include planetary rings, cometary comae and tails, the lower part of the Earth’s ionosphere and interstellar clouds [2,3]. The importance of dusty plasma is a
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