Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma

doi:10.1088/0256-307X/37/1/016101

Chin. Phys. Lett.

2020, Vol. 37

Issue (1): 016101 DOI: 10.1088/0256-307X/37/1/016101

CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES

Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma

M. Kr. Deka¹, A. N. Dev^2**

¹Department of Applied Sciences, Gauhati University, Guwahati-781014, Assam, India
²Center for Applied Mathematics and Computing, Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar-751030, Odisha, India

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M. Kr. Deka, A. N. Dev 2020 Chin. Phys. Lett. 37 016101

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Abstract A three-dimensional (3D) Burgers' equation adopting perturbative methodology is derived to study the evolution of a shock wave with Landau quantized magnetic field in relativistic quantum plasma. The characteristics of a shock wave in such a plasma under the influence of magnetic quantization, relativistic parameter and degenerate electron density are studied with assistance of steady state solution. The magnetic field has a noteworthy control, especially on the shock wave's amplitude in the lower range of the electron density, whereas the amplitude in the higher range of the electron density reduces remarkably. The rate of increase of shock wave potential is much higher (lower) with a magnetic field in the lower (higher) range of electron density. With the relativistic factor, the shock wave's amplitude increases significantly and the rate of increase is higher (lower) for lower (higher) electron density. The combined effect of the increase of relativistic factor and the magnetic field on the strength of the shock wave, results in the highest value of the wave potential in the lower range of the degenerate electron density.

Received: 01 August 2019 Published: 23 December 2019

PACS:	61.72.J-	(Point defects and defect clusters)
	61.50.Ah	(Theory of crystal structure, crystal symmetry; calculations and modeling)
	71.20.Nr	(Semiconductor compounds)
	71.55.Gs	(II-VI semiconductors)

Fund: Supported by Manoj Kumar Deka from DST-SERB of India under Grant No YSS/2015/001896.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/37/1/016101 OR https://cpl.iphy.ac.cn/Y2020/V37/I1/016101

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	M. Kr. Deka
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