Large amplitude oscillations in a trapped dissipative electron gas

Autor:	Luiz Gustavo Ferreira Soares, Fernando Haas
Rok vydání:	2018
Předmět:	Physics Plasma Mechanics Gás de elétrons Condensed Matter Physics Plasma oscillation 01 natural sciences 010305 fluids & plasmas Nonlinear system Amplitude 0103 physical sciences Equações de Lagrange Dissipative system Perturbation theory Nonlinear Oscillations 010306 general physics Fermi gas
Zdroj:	Repositório Institucional da UFRGS Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS
ISSN:	1089-7674 1070-664X
DOI:	10.1063/1.5011169
Popis:	A collisional trapped non-neutral plasma is described by a hydrodynamical model in onedimensional geometry. For suitable initial conditions and velocity fields, the Lagrangian variables method reduces the pressure dominated problem to a damped autonomous Pinney equation, representing a dissipative nonlinear oscillator with an inverse cubic force. An accurate approximate analytic solution derived from Kuzmak-Luke perturbation theory is applied, allowing the assessment of the fully nonlinear dynamics. On the other hand, in the cold plasma case, the Lagrangian variables approach allows the derivation of exact damped nonlinear oscillations. The conditions for the applicability of the hot, pressure dominated or cold gas assumptions are derived. Published by AIP Publishing.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::636eb3de5d83a2a4c8c5a849494b1613 https://doi.org/10.1063/1.5011169 Zobrazit plný text záznamu