Rayleigh Taylor like instability in presence of shear velocity in a strongly coupled quantum plasma

Abstract

The Rayleigh-Taylor like instability (RTI) is investigated in a strongly correlated quantum plasma (SCQP) under the influence of shear velocity. We implement the general hydrodynamic (GH) model with quantum corrections in order to study the system characteristics. The quantum correction comes to the effect via weakly coupled, fully degenerate, non-relativistic electrons; whereas the non-degenerate ions are taken to be strongly correlated. In order to investigate RTI in shorter wavelength regime we consider an exponential equilibrium density profile in presence of gravity. In the incompressible limit, it is observed that the shear velocity has both stabilizing and destabilizing effect on RTI depending upon the direction of the gradient of the shear velocity. In contrary, for the compressible case, shear velocity has a destabilizing effect on RTI irrespective of the direction of the gradient of the shear velocity. The observed results can be pretty handy in understanding the suppression of RTI in some dense white dwarfs or ultra cold stars where the constituents are weakly degenerate electrons and strongly correlated ions within quantum limits.

A numerical study of gravity-driven instability in strongly coupled dusty plasma. Part 1. Rayleigh–Taylor instability and buoyancy-driven instability

“…2014; Khiar et al. 2019; Garai, Ghose-Choudhury & Guha 2020). This instability has been observed in diverse situations such as a supernova explosion (Norman et al.…”

“…Furthermore, in the context of plasma medium, the charged species respond to electromagnetic forces, and various scenarios arise where an inverse stratification against a force (and/or a pseudo force due to the choice of the frame) leads to this instability (Hoshoudy 2009;Liberatore et al 2009). Studies for different types of plasmas under various conditions have been carried out (Dickinson et al 1962;Ariel & Bhatia 1970;Nayyar & Trehan 1970;Takabe et al 1985;Mikhailenko, Mikhailenko & Weiland 2002;Ma et al 2006;Sen, Fukuyama & Honary 2010;Haines et al 2014;Hoshoudy 2014;Kessler, Dahlburg & Ganguli 2014;Weber et al 2014;Khiar et al 2019;Garai, Ghose-Choudhury & Guha 2020). This instability has been observed in diverse situations such as a supernova explosion (Norman et al 1981;Arnett et al 1989), geophysics (Plag & Jüttner 1995), astrophysics (Allen & Hughes 1984;Zingale et al 2005), atmospheric physics (Keskinen et al 1981), liquid atomization (Beale & Reitz 1999;Kong, Senecal & Reitz 1999), fusion physics (Chertkov 2003;Kadau et al 2004;Hoshoudy 2011;Srinivasan & Tang 2013), oceanography (Debnath 1994), turbulent mixing (Abarzhi 2010(Abarzhi , 2008Abarzhi & Rosner 2010), etc.…”

Investigation of Rayleigh-Taylor instability in copper plate under explosive loading

“…The study of RT instability in materials is important for a number of technical applications, such as processing new materials, molding metal products, explosive welding, etc. RT instability is also an important process of supernova explosion and galaxy evolution, which is the focus of inertial confinement fusion and implosion compression research [3][4][5][6][7]. The small initial perturbation on the metal interface will increase with time under certain loading.…”