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Hydrodynamics of quantum corrections to the Coulomb interaction via the third rank tensor evolution equation: application to Langmuir waves and spin-electron acoustic waves

Published online by Cambridge University Press:  04 November 2021

Pavel A. Andreev Open the ORCID record for Pavel A. Andreev [Opens in a new window]
Pavel A. Andreev*
Affiliation:
Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russian Federation Faculty of Physics, Mathematics and Natural Sciences, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow 117198, Russian Federation
*
†Email address for correspondence: [email protected]
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Abstract

The quantum effects in plasmas can be described by the hydrodynamics containing the continuity and Euler equations. However, novel quantum phenomena are found via the extended set of hydrodynamic equations, where the pressure evolution equation and the pressure flux third-rank tensor evolution equation are included. These give the quantum corrections to the Coulomb interaction. The spectra of the Langmuir waves and the spin-electron acoustic waves are calculated. The application of the pressure evolution equation ensures that the contribution of pressure in the Langmuir wave spectrum is proportional to $(3/5)v_{\textrm {Fe}}^{2}$ rather than $(1/3)v_{\textrm {Fe}}^{2}$, where $v_{\textrm {Fe}}$ is the Fermi velocity.

Keywords

plasmasgeneral fluid mechanicsquantum fluids
Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 5 , October 2021 , 905870511
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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