Abstract
Using quantum magneto-hydrodynamic (Q-MHD) model, a set of governing equations is presented for a Rayleigh–Taylor (RT) instability in an extremely dense plasma. A local dispersion relation is derived for the RT mode in a magnetized plasma, where the effects of exchange and correlation for electrons are taken into account. The dispersion relation is then analyzed both analytically as well as numerically. It is found that inclusion of the exchange and correlation effects modifies the growth rate of the RT instability and gives the quantum RT mode a stabilizing effect. The linear growth rate of the mode is found to be localized due to Bohm potential and the potential associated with the exchange and correlation. It is estimated that results might be useful in interpreting the dynamical properties of a quantum nonuniform magneto-plasma system on industrial phenomena such as ultra-small electronic devices as well as natural phenomena such as astrophysical compact objects (white dwarfs/neutron stars).
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