Microstructure formation in radially counterstreaming electron flows

A theoretical model is developed to describe the formation of microstructures due to plasma streaming instabilities in radially convergent geometries. Microstructures in the form of radial spokes are found experimentally in laser wakefield accelerators. The eigenvalues of a set of coupled linear ord...

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Main Authors: Lucas I Iñigo Gamiz, Bernhard Ersfeld, Enrico Brunetti, Samuel R Yoffe, R Alan Cairns, Adam Noble, George K Holt, Dino A Jaroszynski
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/abe8f6
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author Lucas I Iñigo Gamiz
Bernhard Ersfeld
Enrico Brunetti
Samuel R Yoffe
R Alan Cairns
Adam Noble
George K Holt
Dino A Jaroszynski
author_facet Lucas I Iñigo Gamiz
Bernhard Ersfeld
Enrico Brunetti
Samuel R Yoffe
R Alan Cairns
Adam Noble
George K Holt
Dino A Jaroszynski
author_sort Lucas I Iñigo Gamiz
collection DOAJ
description A theoretical model is developed to describe the formation of microstructures due to plasma streaming instabilities in radially convergent geometries. Microstructures in the form of radial spokes are found experimentally in laser wakefield accelerators. The eigenvalues of a set of coupled linear ordinary differential equations are obtained and the complex wavenumbers calculated to give the local growth rates. The predictions are confirmed using particle-in-cell (PIC) simulations carried out for two counter-propagating converging/diverging plasma annuli. The simulations consistently demonstrate unstable growth for interactions between two counterpropagating annuli with different number densities. The growth rates obtained from the PIC simulations agree well with the growth rates from the semi-analytical model. The theory presented in this paper can provide powerful insight into converging plasma beams found in space and laboratory scale plasma.
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spelling doaj.art-72f3e1e3a61d45fc9c4a297a46f3e8e92023-08-08T15:36:12ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123404301710.1088/1367-2630/abe8f6Microstructure formation in radially counterstreaming electron flowsLucas I Iñigo Gamiz0https://orcid.org/0000-0002-7393-0896Bernhard Ersfeld1https://orcid.org/0000-0001-5597-9429Enrico Brunetti2Samuel R Yoffe3https://orcid.org/0000-0002-6723-4990R Alan Cairns4https://orcid.org/0000-0002-7562-2053Adam Noble5https://orcid.org/0000-0002-8181-7076George K Holt6https://orcid.org/0000-0001-6814-9117Dino A Jaroszynski7https://orcid.org/0000-0002-3006-5492Department of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomDepartment of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomDepartment of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomDepartment of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomSchool of Mathematics and Statistics, University of St Andrews , St Andrews, Fife, KY16 9SS, United KingdomDepartment of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomDepartment of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomDepartment of Physics, SUPA & University of Strathclyde , Glasgow G4 0NG, United KingdomA theoretical model is developed to describe the formation of microstructures due to plasma streaming instabilities in radially convergent geometries. Microstructures in the form of radial spokes are found experimentally in laser wakefield accelerators. The eigenvalues of a set of coupled linear ordinary differential equations are obtained and the complex wavenumbers calculated to give the local growth rates. The predictions are confirmed using particle-in-cell (PIC) simulations carried out for two counter-propagating converging/diverging plasma annuli. The simulations consistently demonstrate unstable growth for interactions between two counterpropagating annuli with different number densities. The growth rates obtained from the PIC simulations agree well with the growth rates from the semi-analytical model. The theory presented in this paper can provide powerful insight into converging plasma beams found in space and laboratory scale plasma.https://doi.org/10.1088/1367-2630/abe8f6plasma microstructuresplasma instabilitiesstreaming instabilitieswakefield accelerator
spellingShingle Lucas I Iñigo Gamiz
Bernhard Ersfeld
Enrico Brunetti
Samuel R Yoffe
R Alan Cairns
Adam Noble
George K Holt
Dino A Jaroszynski
Microstructure formation in radially counterstreaming electron flows
New Journal of Physics
plasma microstructures
plasma instabilities
streaming instabilities
wakefield accelerator
title Microstructure formation in radially counterstreaming electron flows
title_full Microstructure formation in radially counterstreaming electron flows
title_fullStr Microstructure formation in radially counterstreaming electron flows
title_full_unstemmed Microstructure formation in radially counterstreaming electron flows
title_short Microstructure formation in radially counterstreaming electron flows
title_sort microstructure formation in radially counterstreaming electron flows
topic plasma microstructures
plasma instabilities
streaming instabilities
wakefield accelerator
url https://doi.org/10.1088/1367-2630/abe8f6
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AT samuelryoffe microstructureformationinradiallycounterstreamingelectronflows
AT ralancairns microstructureformationinradiallycounterstreamingelectronflows
AT adamnoble microstructureformationinradiallycounterstreamingelectronflows
AT georgekholt microstructureformationinradiallycounterstreamingelectronflows
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