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Title: The effect of finite Larmor radius corrections on Jeans instability of quantum plasma

The influence of finite Larmor radius (FLR) effects on the Jeans instability of infinitely conducting homogeneous quantum plasma is investigated. The quantum magnetohydrodynamic (QMHD) model is used to formulate the problem. The contribution of FLR is incorporated to the QMHD set of equations in the present analysis. The general dispersion relation is obtained analytically using the normal mode analysis technique which is modified due to the contribution of FLR corrections. From general dispersion relation, the condition of instability is obtained and it is found that Jeans condition is modified due to quantum effect. The general dispersion relation is reduced for both transverse and longitudinal mode of propagations. The condition of gravitational instability is modified due to the presence of both FLR and quantum corrections in the transverse mode of propagation. In longitudinal case, it is found to be unaffected by the FLR effects but modified due to the quantum corrections. The growth rate of Jeans instability is discussed numerically for various values of quantum and FLR corrections of the medium. It is found that the quantum parameter and FLR effects have stabilizing influence on the growth rate of instability of the system.
Authors:
 [1] ;  [2]
  1. Physics Department, Ujjain Engineering College, Ujjain, Madhya Pradesh 465010 (India)
  2. School of Studies in Physics, Vikram University Ujjain, Madhya Pradesh 465010 (India)
Publication Date:
OSTI Identifier:
22220569
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 9; Other Information: (c) 2013 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; CORRECTIONS; DISPERSION RELATIONS; GRAVITATIONAL INSTABILITY; LARMOR RADIUS; MAGNETOHYDRODYNAMICS; NORMAL-MODE ANALYSIS; QUANTUM PLASMA