Effect of non-thermal electron and positron on the dust ion acoustic solitary wave in the presence of relativistic therm
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Effect of non-thermal electron and positron on the dust ion acoustic solitary wave in the presence of relativistic thermal magnetized ions A. N. Dev1, M. K. Deka2,a
, R. K. Kalita3 , J. Sarma4
1 Center of Applied Mathematics, Siksha ‘O’ Anusandhan, Deemed to be University, Khandagiri,
Bhubaneswar, Odisha 751030, India
2 Vill +PO-Borka, Kamrup, Assam 781101, India 3 Department of Mathematics, Morigaon College, Morigaon, Assam 782105, India 4 Present Address: Department of Mathematics, R. G. Baruah College, Guwahati, Assam 781025, India
Received: 17 March 2020 / Accepted: 13 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The propagation characteristics of small-amplitude electrostatics solitary wave in magnetized dusty plasma in the presence of relativistic thermal ion with non-thermal electron and positron are investigated. Here, Zakharov–Kuznetsov (Z–K) equation is studied to observe the evolution of dust ion acoustic solitary waves with the help of perturbative procedures. In the present plasma system, the Mach number (phase velocity) is found to be in the supersonic range and it decreases (increases) with normalized positron density (thermal ion parameter). On the other hand, the plasma system behaves in the least nonlinear way when the non-thermal parameter of electrons and positrons has the lowest value allowing the solitary wave potential to propagate with maximum value. It is found that the non-thermal parameters of electrons and positrons, relativistic factor and dust density, can effectively control the variation of Mach number. The solitary wave potential has the least value when the thermal ion parameter increases, whereas it is the highest when the positron density has the highest.
1 Introduction The study of nonlinear ion acoustic (IA), dust acoustic (DA) and dust ion acoustic (DIA) solitary/shock wave in electron–ion (e–i) plasma and electron–positron–ion (e–p–i) plasmas in unmagnetized/magnetized conditions with different distributions of plasma species is rapidly growing in the last half century, both theoretically and experimentally [1–13] in the classical as well as quantum plasma regime. Specially, the study of e–p–i plasma has been growing extensively due to their presence in the early universe, in the active galactic nuclei, in the pulsar magnetosphere, in the ionosphere, in the solar atmospheres, in the inner region of the accretion disks surrounding the central black holes, in the laser plasma interaction [14–19] and so on. Due to the presence of dust grains and positrons in a variety of astrophysics and space environments, one can describe the nonlinear structures of electrostatic modes by forming multi-component plasmas, such as the ideal electron–positron–ion–dust (e–p–i–d) plasmas.
a e-mail: [email protected] (corresponding author)
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The four-component plasma composed of electrons, ions, dust and positrons is believed to exist in re
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