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Effect of spin-induced magnetization and Hall current on self-gravitational instability of magnetized viscous quantum plasma

Published online by Cambridge University Press:  15 October 2014

Prerana Sharma  and
R. K. Chhajlani
Prerana Sharma*
Affiliation:
Physics Department, Ujjain Engineering College, Ujjain, MP 456010, India
R. K. Chhajlani
Affiliation:
School of Studies in Physics, Vikram University, Ujjain, MP 456010, India
*
†Email address for correspondence: [email protected]
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Abstract

The Jeans self-gravitational instability is studied for dense quantum viscous plasma with Hall term and intrinsic magnetization generated by collective electron spin. The quantum magnetohydrodynamic model is employed to formulate the basic equations of the problem. The dispersion relation is obtained using the normal mode analysis, and further reduced for both transverse and longitudinal modes of propagation. The transverse mode of propagation is found to be unaffected by the Hall term but affected by quantum effect, viscosity, and magnetization parameters. The Jeans criterion of instability in the transverse direction is modified by Alfven velocity, magnetization parameter, and quantum effect. The non-gravitating magnetized mode is obtained in the longitudinal direction, which is modified by Hall parameter and is not affected by quantum term, whereas the gravitational mode is unaffected by the magnetization parameter but affected by viscosity and quantum parameters. It is observed that the Jeans condition of instability is affected by the quantum term. The growth rate of Jeans instability is plotted for various values of magnetization, quantum, and viscosity parameters of the quantum plasma medium.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 2 , April 2015 , 905810208
Copyright
Copyright © Cambridge University Press 2014 

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