Modelling nonlinear electrostatic oscillations in plasmas
Author(s) -
D. A. Diver,
E. W. Laing
Publication year - 2016
Publication title -
physics of plasmas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.75
H-Index - 160
eISSN - 1089-7674
pISSN - 1070-664X
DOI - 10.1063/1.4968520
Subject(s) - physics , oscillation (cell signaling) , nonlinear system , plasma , plasma oscillation , amplitude , nonlinear oscillations , classical mechanics , upper hybrid oscillation , quantum electrodynamics , statistical physics , mathematical analysis , quantum mechanics , mathematics , genetics , biology
The nonlinear 1-D plasma electrostatic oscillation is formulated in an analytic framework that allows closed-form analytic solutions along the characteristics, and solved numerically in configuration space. Additionally, a novel iterative analytical form for the finite-amplitude oscillation solution is derived, which compares favourably with the other two techniques. A fresh insight into the evolution of the oscillation is gained, including defining the least achievable density in the nonlinear oscillation as half of the equilibrium value, and relating the associated maximum density achievable in terms of that minimum.
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