The Exchange-Correlation Field Effect over the Magnetoacoustic-Gravitational Instability in Plasmas

Abstract

Jeans instability with magnetosonic perturbations is discussed in quantum dusty magnetoplasmas. The quantum and smaller thermal effects are associated only with electrons. The quantum characteristics include exchange-correlation potential, recoil effect, and Fermi degenerate pressure. The multifluid model of plasmas is used for the analytical study of this problem. The significant contribution of electron exchange is noticed on the threshold value of wave vector and Jeans instability. The presence of electron exchange and correlation effects reduce the time to stabilise the phenomenon of self-gravitational collapse of massive species. The results of Jeans instability by magnetosonic perturbations at quantum scale help to disclose the details of the self-gravitating dusty magnetoplasma systems.

Landau Quantised Modification of Rayleigh–Taylor Instability in Dense Plasmas

“…included to analyze the complete picture of the quantum plasma [15,22,23]. Furthermore, E = E 1 , n j = n 0j + (r.∇)n 0j + n 1j , P j = m j v ′2 Fj n j , and v j = V 0j + v 1j , where V 0j is the fluid streaming due to the diamagnetic drift, gravitational drift, and diamagnetic-type drift due to exchange-correlation potential given by…”

“…It is well known that quantum plasma has the properties of high particle number density and low temperature compared to classical plasmas, and therefore are associated with a de Broglie length longer than the inter-particle distance. Such plasmas are characterised by the Fermi pressure associated with degeneracy, where all quantum states are fully occupied below a certain level, tunnelling potential, exchange-correlation potential, and Landau quantisation [15,16]. A recognised fact of moving either orbital-like gyro or spinning electrons is the magnetic field induction and the associated moment along the axis of gyration.…”