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

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 (3/5)ν2Fe rather than (1/3)ν2Fe, where νFe is the Fermi velocity. Copyright © 2021 The Author(s). Published by Cambridge University Press.

Авторы
Издательство
CAMBRIDGE UNIV PRESS
Номер выпуска
5
Язык
Английский
Статус
Опубликовано
Номер
905870511
Том
87
Год
2021
Организации
  • 1 Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russian Federation
  • 2 Faculty of Physics, Mathematics and Natural Sciences, Peoples Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
Ключевые слова
general fluid mechanics; plasmas; quantum fluids
Цитировать
Поделиться

Другие записи