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Jeans instability of a rotating partially ionized and strongly coupled plasma with Hall current

Published online by Cambridge University Press:  19 April 2016

Shweta Jain  and
Prerana Sharma
Shweta Jain*
Affiliation:
Physics Department, Ujjain Engineering College, Ujjain, MP-456010, India
Prerana Sharma
Affiliation:
Physics Department, Ujjain Engineering College, Ujjain, MP-456010, India
*
†Email address for correspondence: jshweta09@gmail.com
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Abstract

A generalized hydrodynamic model is used to analyse the growth rate of the Jeans instability of a partially ionized strongly coupled plasma incorporating the effects of rotation and Hall current. The general dispersion relation is determined for the propagation of magnetohydrodynamic waves using the normal mode analysis theory. The general dispersion relation is further discussed in four different combinations of rotation and propagation of the system to signify the importance of rotation and neutral particles on the growth rates and conditions of Jeans instability in hydrodynamic and kinetic regimes. The different types of waves are also described in these cases. The influence of rotation and neutral particles on growth rate of the Jeans instability is analysed numerically and shown graphically. The possible applications of the present work are found in ultracold neutral plasmas, white dwarfs, neutron stars etc.

Type
Research Article
Information
Journal of Plasma Physics , Volume 82 , Issue 2 , April 2016 , 905820211
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Copyright
© Cambridge University Press 2016 

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