2017/12/14 by Fernando Haas, S. Mahmood, Haas, Fernando +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Plasma Physics (physics.plasm-ph)
paper · pdf · doi:10.48550/arxiv.1712.05339
openalex publication_date 2017/12/14 · openalex created_date 2022/09/19 · openalex updated_date 2026/07/28
Nonlinear ion-acoustic waves are analyzed in a non-relativistic magnetized\nquantum plasma with arbitrary degeneracy of electrons. Quantum statistics is\ntaken into account by means of the equation of state for ideal fermions at\narbitrary temperature. Quantum diffraction is described by a modified Bohm\npotential consistent with finite temperature quantum kinetic theory in the long\nwavelength limit. The dispersion relation of the obliquely propagating\nelectrostatic waves in magnetized quantum plasma with arbitrary degeneracy of\nelectrons is obtained. Using the reductive perturbation method, the\ncorresponding Zakharov-Kuznetsov equation is derived, describing obliquely\npropagating two-dimensional ion-acoustic solitons in a magnetized quantum\nplasma with degenerate electrons having arbitrary electron temperature. It is\nfound that in the dilute plasma case only electrostatic potential hump\nstructures are possible, while in dense quantum plasma in principle both hump\nand dip soliton structures are obtainable, depending on the electron plasma\ndensity and its temperature. The results are validated by comparison with the\nquantum hydrodynamic model including electron inertia and magnetization\neffects. Suitable physical parameters for observations are identified.\n