Microstructure formation in radially counterstreaming electron flows

Lucas I Iñigo Gamiz; Bernhard Ersfeld; Enrico Brunetti; Samuel R Yoffe; R Alan Cairns; Adam Noble; George K Holt; Dino A Jaroszynski

doi:10.1088/1367-2630/abe8f6

Microstructure formation in radially counterstreaming electron flows

Lucas I Iñigo Gamiz, Bernhard Ersfeld^*, Enrico Brunetti, Samuel R Yoffe, R Alan Cairns, Adam Noble, George K Holt, Dino A Jaroszynski^*

^*Corresponding author for this work

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Abstract

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.

Original language	English
Article number	043017
Number of pages	8
Journal	New Journal of Physics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1088/1367-2630/abe8f6
Publication status	Published - 7 Apr 2021

Keywords

Paper
Plasma microstructures
Plasma instabilities
Streaming instabilities
Wakefield accelerator

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10.1088/1367-2630/abe8f6Licence: CC BY

Gamiz-2021-Microstructure-formation-NJP-043017-CCBY
Copyright © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Final published version, 2.25 MBLicence: CC BY

Lab in a Bubble: Lab in a Bubble
Cairns, R. A. (PI)
EPSRC
1/04/16 → 31/03/20
Project: Standard

Data for: "Microstructure Formation in Radially Counterstreaming Electron Flows"
Iñigo Gamiz, L. I. (Creator), Ersfeld, B. (Creator), Brunetti, E. (Creator), Yoffe, S. R. (Creator), Cairns, R. A. (Creator), Noble, A. (Creator), Holt, G. K. (Creator) & Jaroszynski, D. A. (Creator), University of Strathclyde, 2021
DOI: 10.15129/a9ef64ab-3c90-4bb9-aed5-ac47d5f74ed7
Dataset

Cite this

@article{ca662798304346c0863354a87e506e01,

title = "Microstructure formation in radially counterstreaming electron flows",

abstract = "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.",

keywords = "Paper, Plasma microstructures, Plasma instabilities, Streaming instabilities, Wakefield accelerator",

author = "{I{\~n}igo Gamiz}, {Lucas I} and Bernhard Ersfeld and Enrico Brunetti and Yoffe, {Samuel R} and Cairns, {R Alan} and Adam Noble and Holt, {George K} and Jaroszynski, {Dino A}",

note = "We acknowledge the support of the UK EPSRC, Grant Number EP/N028694/1, and the EC's Laserlab-Europe H2020 EC-GA Nos. 654148 and 871124.",

year = "2021",

month = apr,

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doi = "10.1088/1367-2630/abe8f6",

language = "English",

volume = "23",

journal = "New Journal of Physics",

issn = "1367-2630",

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T1 - Microstructure formation in radially counterstreaming electron flows

AU - Iñigo Gamiz, Lucas I

AU - Ersfeld, Bernhard

AU - Brunetti, Enrico

AU - Yoffe, Samuel R

AU - Cairns, R Alan

AU - Noble, Adam

AU - Holt, George K

AU - Jaroszynski, Dino A

N1 - We acknowledge the support of the UK EPSRC, Grant Number EP/N028694/1, and the EC's Laserlab-Europe H2020 EC-GA Nos. 654148 and 871124.

PY - 2021/4/7

Y1 - 2021/4/7

N2 - 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.

AB - 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.

KW - Paper

KW - Plasma microstructures

KW - Plasma instabilities

KW - Streaming instabilities

KW - Wakefield accelerator

U2 - 10.1088/1367-2630/abe8f6

DO - 10.1088/1367-2630/abe8f6

M3 - Article

SN - 1367-2630

VL - 23

JO - New Journal of Physics

JF - New Journal of Physics

IS - 4

M1 - 043017

ER -

Microstructure formation in radially counterstreaming electron flows

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Data for: "Microstructure Formation in Radially Counterstreaming Electron Flows"

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