Dynamics of streaming instability with quantum correction

Frontiers of Physics and Plasma Science

Goutam, H.P.^1 ; Karmakar, P.K.^1

Department of Physics, Tezpur University, Napaam, Tezpur, Assam

784028, India^1

关键词: Astrophysical objects;    Coupled structures;    Instability modes;    Normal mode analysis;    Problem dimensionality;    Quantum correction;    Quantum hydrodynamic models;    Strong magnetic fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/836/1/012004/pdf
DOI  :  10.1088/1742-6596/836/1/012004

来源: IOP

【 摘 要 】

A modified quantum hydrodynamic model (m-QHD) is herein proposed on the basis of the Thomas-Fermi (TF) theory of many fermionic quantum systems to investigate the dynamics of electrostatic streaming instability modes in a complex (dusty) quantum plasma system. The newly formulated m-QHD, as an amelioration over the existing usual QHD, employs a dimensionality-dependent Bohmian quantum correction prefactor, γ = [(D-2)/3D], in the electron quantum dynamics, where D symbolizing the problem dimensionality under consideration. The normal mode analysis of the coupled structure equations reveals the excitation of two distinct streaming modes associated with the flowing ions (against electrons and dust) and the flowing dust particulates (against the electrons and ions). It is mainly shown that the γ-factor introduces a new source of stability and dispersive effects to the ion-streaming instability solely; but not to the dust counterparts. A non-trivial application of our investigation in electrostatic beam-plasma (flow-driven) coupled dynamics leading to the development of self-sustained intense electric current, and hence, of strong magnetic field in compact astrophysical objects (in dwarf-family stars) is summarily indicated.