On the relaxed states in the mixture of degenerate and non-degenerate hot plasmas of astrophysical objects

Abstract

It is shown that a small contamination of a relativistically hot electron component can induce a new scale (for structure formation) to a system consisting of an ion-degenerate electron plasma. Mathematically expression of this additional scale length is the increase in the index of quasi-equilibrium Beltrami-Bernoulli states that have been invoked to model several astrophysical systems of interest. The two species of electrons, due to different origin of their relativistic effective masses, behave as two distinct components (each with its own conserved helicity) and add to the richness of the accessible quasi equilibrium states. Determined by the concrete parameters of the system, the new macro-scale lengths (much larger than the short intrinsic scale lengths (skin depths) and generally much shorter than the system size) open new pathways for energy transformations.

Constraining Alfvénic Turbulence with Helicity Invariants

“…2 for an example). These results, as embodied by the equations ( 25) and ( 26), are qualitatively similar, albeit derived from a more generic standpoint, to the generalized magneto-Bernoulli mechanism elucidated in Ohsaki et al (2001); Mahajan et al (2002); Shatashvili et al (2019); it has been proposed that this mechanism may constitute a viable explanation for solar flares (Kagan & Mahajan 2010), as opposed to classic paradigms such as fast magnetic reconnection (Biskamp 2000;Shibata & Magara 2011;Comisso et al 2016).…”

Nonlinear coupling of electromagnetic and electron acoustic waves in multi-species degenerate astrophysical plasma

“…The nonlinear wave dynamics will be studied for a quasi neutral unmagnetized plasma of an immobile classical ion component (i), and two electron species -the bulk relativistic degenerate (d) electron gas with a density N 0d and a small contamination of non-degenerate classical (cl) electrons with density N 0cl [15]. Quasi neutrality demands…”

“…To study the nonlinear propagation of intense EM waves, the multicomponent plasma dynamics has to be coupled (see [15]) with the Maxwell equations,…”

“…One of the principal aims of this work is to explore, possibly, novel nonlinear wave-coupling and modulational interactions induced by the new physics originating in the contamination by the component cl . Such a composite system of a highly degenerate WD plasma co-existing with a classical hot accreting astrophysical flow ( [14,15] and references therein) is an interesting and unusual state of matter. It is expected that this very combination of d and cl will pertain, for example, during the relativistic jet formation from accretion-induced collapsing White Dwarfs to Black Holes [16][17][18].…”

Macro-scale fast flow and magnetic field generation in 2-temperature relativistic electron-ion plasmas of astrophysical objects

“…These studies have shown the generation/amplification of fast macro-scale plasma flows in the degenerate two-fluid astrophysical systems, for which the simplest relaxed states are described by double Beltrami condition, which states that the generalized flow is aligned with its vorticity augmented by the Bernoulli condition. Shatashvili et al (2019) have shown that in a quasi neutral plasma of a bulk degenerate electrons contaminated by small fraction of a non-degenerate highly relativistic hot electron component can induce a new scale (for structure formation) to a system consisting of an ion-degenerate electron plasma. Determined by concrete parameters of the system, new macro-scale lengths (much larger than short intrinsic scale lengths [skin depths] and generally much shorter than system size) open new pathways for energy transformations.…”