Nonlinear Trivelpiece-Gould waves: Frequency, functional form, and stability

Dubin, D. H. E.; Ashourvan, A.

doi:10.1063/1.4932001

Nonlinear Trivelpiece-Gould waves: Frequency, functional form, and stability

Journal Article · Tue Oct 06 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4932001· OSTI ID:1469375

Dubin, D. H. E. ^[1]; Ashourvan, A. ^[2]

Univ. of California San Diego, La Jolla, CA (United States); Department of Physics, UCSD, La Jolla, California 92093
Univ. of California San Diego, La Jolla, CA (United States)

Here, this paper considers the frequency, spatial form, and stability of nonlinear Trivelpiece-Gould (TG) waves on a cylindrical plasma column of length L and radius r_p, treating both traveling waves and standing waves, and focussing on the regime of experimental interest in which L/r_p >> 1. In this regime, TG waves are weakly dispersive, allowing strong mode-coupling between Fourier harmonics. The mode coupling implies that linear theory for such waves is a poor approximation even at fairly small amplitude, and nonlinear theories that include a small number of harmonics, such as three-wave parametric resonance theory, also fail to fully capture the stability properties of the system. It is found that nonlinear standing waves suffer jumps in their functional form as their amplitude is varied continuously. The jumps are caused by nonlinear resonances between the standing wave and nearly linear waves whose frequencies and wave numbers are harmonics of the standing wave. Also, the standing waves are found to be unstable to a multi-wave version of three-wave parametric resonance, with an amplitude required for instability onset that is much larger than expected from three wave theory. It is found that traveling waves are linearly stable for all amplitudes that could be studied, in contradiction to three-wave theory.

Research Organization:: Univ. of California San Diego, La Jolla, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0002451; SC0008693

OSTI ID:: 1469375

Alternate ID(s):: OSTI ID: 1223037

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 22; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Fluid and kinetic nonlinearities of near-acoustic plasma waves Affolter, M.; Anderegg, F.; Dubin, D. H. E. Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5129529	journal	December 2019

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