Self-consistent chaos in the beam-plasma instability
type: Item
instance of: scholarly article
title: Self-consistent chaos in the beam-plasma instability
zbMATH Open document ID: 0814.70016
DOI: 10.1016/0167-2789(94)90178-3
author: J. L. Tennyson
author: J. D. Meiss
author: P. J. Morrison
published in: Physica D
publication date: 1995-01-08T00:00:00Z
full work available at URL: metadc1198655
review text: The effect of self-consistency on Hamiltonian systems with a large number of degrees of freedom is investigated for the beam-plasma instability using the single-wave model. The single-wave model is reviewed and then rederived within the Hamiltonian context, which leads naturally to canonical action-angle variables. Simulations are performed with a large \((10^ 4)\) number of beam particles interacting with the single wave. It is observed that the system relaxed into a time asymptotic periodic state where only a few collective degrees are active; namely, a clump of trapped particles oscillating in a modulated wave, within a uniform chaotic sea with oscillating phase space boundaries. Thus self- consistency is seen to effectively reduce the number of degrees of freedom. A simple low degree-of-freedom model is derived that treats the clump as a single macroparticle, interacting with the wave and chaotic sea.
Mathematics Subject Classification ID: 70H99
Mathematics Subject Classification ID: 78A35
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 699024
zbMATH Keywords: invariant tori
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: single-wave model
zbMATH Keywords: action-angle variables
zbMATH Keywords: time asymptotic periodic state
zbMATH Keywords: uniform chaotic sea
zbMATH Keywords: low degree-of-freedom model
zbMATH Keywords: macroparticle
MaRDI profile type: Publication
OpenAlex ID: W2052024723
cites work: Q3764119
cites work: Destruction of trapping oscillations
cites work: Soluble theory of nonlinear beam-plasma interaction
cites work: Time-dependent nonlinear Langmuir waves
cites work: Restricted multiple three-wave interactions: Integrable cases of this system and other related systems
cites work: Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure
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description: scientific article; zbMATH DE number 699024