Kinetic theory of ${\mathrm{sech}}^{2}x$ electron holes and applications to Kappa-distributed plasmas

Abstract

The kinetic theory of ${\mathrm{sech}}^{2}x$-type electron holes is studied. The potential of the electron holes is solved in the weak amplitude limit by the pseudo-potential method. We investigate the existence condition of the ${\mathrm{sech}}^{2}x$ electron holes. It indicates that the derivatives of trapped and untrapped distributions at the separatrix play significant roles in determining the potential profile. The theory is then applied to the Kappa-distributed plasmas. The amplitude and width of the ${\mathrm{sech}}^{2}x$ electron holes are analyzed. Finally, the theoretical results are verified by numerical calculations.

References in corpus (6)

• Laboratory measurements of electrostatic solitary structures generated by electron beam injection
• Whistler instability stimulated by the suprathermal electrons present in space plasmas
• Transport coefficients of the fully ionized plasma with kappa-distribution and in strong magnetic field
• The electron acoustic waves in plasmas with two kappa-distributed electrons at the same temperatures and immobile ions
• Stationary states of polytropic plasmas
• Electron Holes in a $\kappa$ Distribution Background with Singularities

Cited by in corpus (2)

• Drift instabilities driven by slab ion temperature gradient in suprathermal plasmas
• Investigations of the kinetic ion-acoustic soliton by the Bernstein-Greene-Kruskal integral method