Double-wells and double-layers in dusty Fermi-Dirac plasmas: Comparison with the semiclassical Thomas-Fermi counterpart

Abstract

Based on the quantum hydrodynamic model, a new relationship between the electrostatic-potential and the electron-density in the ultra-dense plasma is derived. Propagation of arbitrary amplitude nonlinear ion waves is, then, investigated in a completely degenerate dense dusty electron-ion plasma, using this new energy relation, for the relativistic electrons in the ground of quantum hydrodynamics model and the results are compared to the case of semiclassical Thomas-Fermi dusty plasma. Using the standard pseudo-potential approach it is remarked that the Fermi-Dirac plasma, in contrast to the Thomas-Fermi counterpart, accommodates a wide variety of nonlinear excitations such as positive-/negative-potential ion solitary and periodic waves, double-layers and double-wells. It is also remarked that, the relativistic degeneracy parameter which relates to the mass-density of plasma has significant effects on the allowed matching-speed range in dusty Fermi-Dirac plasmas.

Published: Phys. Plasmas 17, 123709 (2010)

References in corpus (2)

• Nonlinear structures: explosive, soliton and shock in a quantum electron-positron-ion magnetoplasma
• Distinctive features of ion-acoustic solitons in EPI super-dense magneto-plasmas with degenerate electrons and positrons

Cited by in corpus (5)

• Remarkable paramagnetic features of Fermi-Dirac plasmas
• Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas
• Comment on the article "Solitary waves and double layers in an ultra-relativistic degenerate dusty electron-positron-ion plasma" [Phys. Plasmas \textbf{19}, 033705 (2012)]
• Spin-induced localized density excitations in quantum plasmas
• Quantum collapse in ground-state Fermi-Dirac-Landau plasmas