Quantum inertial Alfvén solitary waves: the effect of exchange-correlation and spin magnetization

ABSTRACT

The effect of electron exchange-correlation and spin magnetization on nonlinear inertial Alfvén waves in electron-ion quantum plasma are succinctly discussed for $\alpha \equiv$ $\text{β}/2Q<<$ 1, with β and Q are being the ratio of Fermi to magnetic pressures and the ratio of electron to ion masses, respectively. Using the quantum hydrodynamic fluid model, both the Sagdeev's potential and Korteweg de Vries equation are derived in low-β quantum plasma. It is found that in the presence of spin magnetization and exchange-correlation effects only dip soliton structures of inertial Alfvén waves are formed. The inertial Alfvén soliton dip structures move with super Alfvénic wave speed. The graphical analysis shows that the depth of Sagdeev's potential profiles and width of solitary wave structures significantly modified by changing the plasma parameters such as plasma density (exchange-correlation) and magnetic field intensity (spin magnetization). The importance of present work in the context of astrophysical plasma environments existing in compact stars is also discussed.

Keywords:

• Inertial Alfvén waves
• Sagdeev potential
• Korteweg de Vries
• spin effects
• exchange-correlation effects
• quantum plasma

PACS:

• 23.23.+x
• 56.65.Dy

Disclosure statement

No potential conflict of interest was reported by the authors.