Possibility of formation of stationary structures in relativistically degenerate magnetized quantum plasma with exchange-correlation energy

Chinmay Das; Partha Sona Maji; Saptarshi Ghosh; Krishna Bulchandani; Pooja Thakur; Deepsikha Mahanta; Harshit Jain

doi:10.34256/famr2414

Chinmay Das Department of Mathematics, Kabi Jagadram Roy Govt. General Degree College, Mejia, Bankura, 722143, India
Partha Sona Maji Department of Physics, Amity University, Newtown, KolkataWest Bengal 700135, India
Saptarshi Ghosh Department of Physics, Ramakrishna Mission Residential College (Autonomous), Narendrapur, Kolkata, West Bengal 700103, India
Krishna Bulchandani St. Xavier’s College, Mumbai, Maharashtra 400001, India
Pooja Thakur Institute of Natural Sciences and Applied Technology, Kolkata, 700032, India
Deepsikha Mahanta Department of Mathematics, Gauhati University, Guwahati 781014, India
Harshit Jain Jawahar Navodaya Vidyalaya, Lalitpur, Uttar Pradesh 284403, India

Keywords: Ion acoustic wave, quantum diffraction, exchange correlation energy, relativistic degeneracy, Sagdeev pseudo-potential method

Abstract

In the present paper we have studied the possibility of stationary structure formation in ion acoustic wave in a relaivistically degenerate quantum plasma in presence of magnetic field quantum diffraction parameter and localized exchange correlation energy. Recent authors include exchange correlation term in many plasma configurations including quantum and relativistic regime. We have analyzed the applicability of certain mathematical tools like the Sagdeev pseudo-potential method in dealing with the analysis of the formation and properties of large amplitude solitary structures, double layers, shocks etc. The findings of this paper will help future researchers to select analytical methods while studying wave phenomena in plasma .

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