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Title: Physical interpretation of Jeans instability in quantum plasmas

Abstract

In this paper, we use the quantum hydrodynamics and its hydrostatic limit to investigate the newly posed problem of Jeans instability in quantum plasmas from a different point of view in connection with the well-known Chandrasekhar mass-limit on highly collapsed degenerate stellar configurations. It is shown that the hydrodynamic stability of a spherically symmetric uniform quantum plasma with a given fixed mass is achieved by increase in its mass-density or decrease in the radius under the action of gravity. It is also remarked that for masses beyond the limiting Jeans-mass, the plasma becomes completely unstable and the gravitational collapse would proceed forever. This limiting mass is found to depend strongly on the composition of the quantum plasma and the atomic-number of the constituent ions, where it is observed that heavier elements rather destabilize the quantum plasma hydrodynamically. It is also shown that the Chandrasekhar mass-limit for white dwarf stars can be directly obtained from the hydrostatic limit of our model.

Authors:
 [1]
  1. Faculty of Sciences, Department of Physics, Azarbaijan Shahid Madani University, 51745-406 Tabriz (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22303588
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; GRAVITATIONAL COLLAPSE; HYDRODYNAMICS; INSTABILITY; QUANTUM PLASMA; STABILITY; SYMMETRY; WHITE DWARF STARS

Citation Formats

Akbari-Moghanjoughi, M., and International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Ruhr University Bochum, D-44780 Bochum. Physical interpretation of Jeans instability in quantum plasmas. United States: N. p., 2014. Web. doi:10.1063/1.4894111.
Akbari-Moghanjoughi, M., & International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Ruhr University Bochum, D-44780 Bochum. Physical interpretation of Jeans instability in quantum plasmas. United States. https://doi.org/10.1063/1.4894111
Akbari-Moghanjoughi, M., and International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Ruhr University Bochum, D-44780 Bochum. 2014. "Physical interpretation of Jeans instability in quantum plasmas". United States. https://doi.org/10.1063/1.4894111.
@article{osti_22303588,
title = {Physical interpretation of Jeans instability in quantum plasmas},
author = {Akbari-Moghanjoughi, M. and International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Ruhr University Bochum, D-44780 Bochum},
abstractNote = {In this paper, we use the quantum hydrodynamics and its hydrostatic limit to investigate the newly posed problem of Jeans instability in quantum plasmas from a different point of view in connection with the well-known Chandrasekhar mass-limit on highly collapsed degenerate stellar configurations. It is shown that the hydrodynamic stability of a spherically symmetric uniform quantum plasma with a given fixed mass is achieved by increase in its mass-density or decrease in the radius under the action of gravity. It is also remarked that for masses beyond the limiting Jeans-mass, the plasma becomes completely unstable and the gravitational collapse would proceed forever. This limiting mass is found to depend strongly on the composition of the quantum plasma and the atomic-number of the constituent ions, where it is observed that heavier elements rather destabilize the quantum plasma hydrodynamically. It is also shown that the Chandrasekhar mass-limit for white dwarf stars can be directly obtained from the hydrostatic limit of our model.},
doi = {10.1063/1.4894111},
url = {https://www.osti.gov/biblio/22303588}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 8,
volume = 21,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}