skip to main content

SciTech ConnectSciTech Connect

Title: Physical interpretation of Jeans instability in quantum plasmas

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] ;  [2]
  1. Faculty of Sciences, Department of Physics, Azarbaijan Shahid Madani University, 51745-406 Tabriz (Iran, Islamic Republic of)
  2. (Germany)
Publication Date:
OSTI Identifier:
22303588
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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