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Nonlinear isothermal waves in a degenerate electron plasma
Authors:A. E. Dubinov  A. A. Dubinova
Affiliation:(1) Sarov State Physical and Technical Institute, Sarov, ul. Dukhova 6, Nizhni Novgorod oblast, 607186, Russia;(2) Advanced School of General and Applied Physics, Lobachevsky Nizhni Novgorod State University, ul. Ul’yanova 46, Nizhni Novgorod, 603950, Russia
Abstract:A nonlinear differential equation describing oscillations of the chemical potential in a one-dimensional steady-state wave propagating in a degenerate electron gas against an immobile neutralizing ion background is derived, investigated, and solved exactly. It is found that the wave phase velocity is bounded below by a critical velocity, whose exact value is obtained.
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