DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Instability of an electron-plasma shear layer in an externally imposed strain flow

Abstract

The E x B shear instability of a two-dimensional (2D) filament (i.e., a thin, rectangular strip perpendicular to the magnetic field) of magnetized pure electron plasma is investigated experimentally in the presence of an externally imposed strain flow. Data are acquired using a specialized Penning–Malmberg trap in which strain flows can be applied in 2D by biasing segmented electrodes surrounding the plasma. The E x B drift dynamics are well-described by the Drift-Poisson equations, which are isomorphic to the 2D Euler equations describing ideal fluids. Thus, the experimental results correspond to the Rayleigh instability of a shear layer in a 2D ideal fluid, where the electron density is analogous to the fluid vorticity. Shear layers are prepared by stretching initially axisymmetric electron vortices using a strong, applied strain flow. The data at early times are in quantitative agreement with a linear model which extends Rayleigh’s work to account for the influence of an external strain flow. In the presence of weak strain, the system approximately maintains a phase relationship that corresponds to an instantaneous Rayleigh eigenmode. The instability develops into the nonlinear regime later in time and at smaller spatial scales as the strain rate is increased. A secondary vortexmore » pairing instability is observed, but it is suppressed when the strain-to-vorticity ratio exceeds roughly 0.025. In this way, vorticity transport perpendicular to the filament is diminished due to the applied strain.« less

Authors:
ORCiD logo [1]; ORCiD logo [1];  [1]; ORCiD logo [1]
  1. Univ. of California, San Diego, CA (United States)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1608030
Alternate Identifier(s):
OSTI ID: 1607950
Grant/Contract Number:  
SC0016532; SC0018236; SC0014664
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 27; Journal Issue: 4; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma; fluid; vortex; turbulence; Rayleigh instability; Kelvin Helmholtz instability; nonneutral plasmas; single-component plasmas

Citation Formats

Hurst, N. C., Danielson, J. R., Dubin, D. H. E., and Surko, C. M. Instability of an electron-plasma shear layer in an externally imposed strain flow. United States: N. p., 2020. Web. doi:10.1063/1.5138924.
Hurst, N. C., Danielson, J. R., Dubin, D. H. E., & Surko, C. M. Instability of an electron-plasma shear layer in an externally imposed strain flow. United States. https://doi.org/10.1063/1.5138924
Hurst, N. C., Danielson, J. R., Dubin, D. H. E., and Surko, C. M. Wed . "Instability of an electron-plasma shear layer in an externally imposed strain flow". United States. https://doi.org/10.1063/1.5138924. https://www.osti.gov/servlets/purl/1608030.
@article{osti_1608030,
title = {Instability of an electron-plasma shear layer in an externally imposed strain flow},
author = {Hurst, N. C. and Danielson, J. R. and Dubin, D. H. E. and Surko, C. M.},
abstractNote = {The E x B shear instability of a two-dimensional (2D) filament (i.e., a thin, rectangular strip perpendicular to the magnetic field) of magnetized pure electron plasma is investigated experimentally in the presence of an externally imposed strain flow. Data are acquired using a specialized Penning–Malmberg trap in which strain flows can be applied in 2D by biasing segmented electrodes surrounding the plasma. The E x B drift dynamics are well-described by the Drift-Poisson equations, which are isomorphic to the 2D Euler equations describing ideal fluids. Thus, the experimental results correspond to the Rayleigh instability of a shear layer in a 2D ideal fluid, where the electron density is analogous to the fluid vorticity. Shear layers are prepared by stretching initially axisymmetric electron vortices using a strong, applied strain flow. The data at early times are in quantitative agreement with a linear model which extends Rayleigh’s work to account for the influence of an external strain flow. In the presence of weak strain, the system approximately maintains a phase relationship that corresponds to an instantaneous Rayleigh eigenmode. The instability develops into the nonlinear regime later in time and at smaller spatial scales as the strain rate is increased. A secondary vortex pairing instability is observed, but it is suppressed when the strain-to-vorticity ratio exceeds roughly 0.025. In this way, vorticity transport perpendicular to the filament is diminished due to the applied strain.},
doi = {10.1063/1.5138924},
journal = {Physics of Plasmas},
number = 4,
volume = 27,
place = {United States},
year = {Wed Apr 01 00:00:00 EDT 2020},
month = {Wed Apr 01 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Photocathode source for studying two-dimensional fluid phenomena with magnetized electron columns
journal, December 1999

  • Durkin, D.; Fajans, J.
  • Review of Scientific Instruments, Vol. 70, Issue 12
  • DOI: 10.1063/1.1150108

Role of Landau Damping in Crossed-Field Electron Beams and Inviscid Shear Flow
journal, January 1970


Saturn'S Longitude: rise of the Second Branch of Shear-Stability Theory and fall of the First
journal, March 2014


Stabilization of the diocotron instability in an annular plasma
journal, January 1987

  • Rosenthal, G.; Dimonte, G.; Wong, A. Y.
  • Physics of Fluids, Vol. 30, Issue 10
  • DOI: 10.1063/1.866501

Vorticity filaments in two-dimensional turbulence: creation, stability and effect
journal, September 1997


Dynamics of monopolar vortices in a strain flow
journal, August 1997


Pure electron plasmas in asymmetric traps*
journal, July 1993

  • Chu, R.; Wurtele, J. S.; Notte, J.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7
  • DOI: 10.1063/1.860721

Experimental study of the stability and dynamics of a two-dimensional ideal vortex under external strain
journal, June 2018

  • Hurst, N. C.; Danielson, J. R.; Dubin, D. H. E.
  • Journal of Fluid Mechanics, Vol. 848
  • DOI: 10.1017/jfm.2018.311

Rossby Wave Instability of Keplerian Accretion Disks
journal, March 1999

  • Lovelace, R. V. E.; Li, H.; Colgate, S. A.
  • The Astrophysical Journal, Vol. 513, Issue 2
  • DOI: 10.1086/306900

Motion of an Elliptic Vortex in a Uniform Shear Flow
journal, October 1981

  • Kida, Shigeo
  • Journal of the Physical Society of Japan, Vol. 50, Issue 10
  • DOI: 10.1143/JPSJ.50.3517

Evolution of a barotropic shear layer into elliptical vortices
journal, January 2013


Radial compression and torque-balanced steady states of single-component plasmas in Penning-Malmberg traps
journal, May 2006

  • Danielson, J. R.; Surko, C. M.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2179410

Instability of a smooth shear layer through wave interactions
journal, August 2019

  • Carpenter, J. R.; Guha, A.
  • Physics of Fluids, Vol. 31, Issue 8
  • DOI: 10.1063/1.5116633

The vortices of two-dimensional turbulence
journal, October 1990


On the Stability of certain Vortex Motions
journal, November 1893


Collisional transport in non-neutral plasmas
journal, May 1998


The dynamics of enstrophy transfer in two-dimensional hydrodynamics
journal, March 1991


An electron plasma experiment to study vortex dynamics subject to externally imposed flows
conference, January 2018

  • Hurst, N. C.; Danielson, J. R.; Surko, C. M.
  • NON-NEUTRAL PLASMA PHYSICS X: 12th International Workshop on Non-Neutral Plasmas, AIP Conference Proceedings
  • DOI: 10.1063/1.5021572

Plasma and trap-based techniques for science with positrons
journal, March 2015

  • Danielson, J. R.; Dubin, D. H. E.; Greaves, R. G.
  • Reviews of Modern Physics, Vol. 87, Issue 1
  • DOI: 10.1103/RevModPhys.87.247

Instability in Stratified Shear Flow: Review of a Physical Interpretation Based on Interacting Waves
journal, November 2011

  • Carpenter, Jeffrey R.; Tedford, Edmund W.; Heifetz, Eyal
  • Applied Mechanics Reviews, Vol. 64, Issue 6
  • DOI: 10.1115/1.4007909

Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows
journal, January 1983


Measurements of Viscosity in Pure-Electron Plasmas
journal, September 2001


Experimental dynamics of an annulus of vorticity in a pure electron plasma
journal, February 1993

  • Peurrung, A. J.; Fajans, J.
  • Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 2
  • DOI: 10.1063/1.858872

Vortex Dynamics and Shear-Layer Instability in High-Intensity Cyclotrons
journal, April 2016


Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states)
journal, January 1999


Influence of sheared poloidal rotation on edge turbulence
journal, January 1990

  • Biglari, H.; Diamond, P. H.; Terry, P. W.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 1
  • DOI: 10.1063/1.859529

Coupling of damped and growing modes in unstable shear flow
journal, June 2017

  • Fraser, A. E.; Terry, P. W.; Zweibel, E. G.
  • Physics of Plasmas, Vol. 24, Issue 6
  • DOI: 10.1063/1.4985322

Trapped Plasmas with a Single Sign of Charge
journal, February 1999


The evolution of Kirchhoff elliptic vortices
journal, May 2008

  • Mitchell, T. B.; Rossi, L. F.
  • Physics of Fluids, Vol. 20, Issue 5
  • DOI: 10.1063/1.2912991

High-Fidelity Optical Transfer System for Two Dimensional Imaging of Density Distribution of a Pure Electron Plasma
journal, October 2004

  • Aoki, Jun; Kiwamoto, Yasuhito; Soga, Yukihiro
  • Japanese Journal of Applied Physics, Vol. 43, Issue 10
  • DOI: 10.1143/JJAP.43.7267

Two-dimensional turbulence: a physicist approach
journal, May 2002


Instability in Hollow and Strip Electron Beams
journal, September 1956


Two-dimensional electrostatic turbulence with variable density and pressure
journal, January 1980

  • Montgomery, David; Turner, Leaf
  • Physics of Fluids, Vol. 23, Issue 2
  • DOI: 10.1063/1.862967

A limitation to the analogy between pure electron plasmas and two‐dimensional inviscid fluids
journal, December 1993

  • Peurrung, A. J.; Fajans, J.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 12
  • DOI: 10.1063/1.860546

Experiments on vortex dynamics in pure electron plasmas
journal, June 1990

  • Driscoll, C. F.; Fine, K. S.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6
  • DOI: 10.1063/1.859556

Vortex pairing : the mechanism of turbulent mixing-layer growth at moderate Reynolds number
journal, April 1974


Collisional diffusion in a two-dimensional point vortex gas or a two-dimensional plasma
journal, May 2003


Spectral analysis of forced turbulence in a non-neutral plasma
journal, June 2017


The stability of a two-dimensional vorticity filament under uniform strain
journal, September 1991


Role of stable modes in driven shear-flow turbulence
journal, December 2018

  • Fraser, A. E.; Pueschel, M. J.; Terry, P. W.
  • Physics of Plasmas, Vol. 25, Issue 12
  • DOI: 10.1063/1.5049580

Hamiltonian description of the ideal fluid
journal, April 1998


Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
journal, January 1978

  • Hasegawa, Akira; Mima, Kunioki
  • Physics of Fluids, Vol. 21, Issue 1
  • DOI: 10.1063/1.862083

On the Stability, or Instability, of certain Fluid Motions
journal, November 1879


Vortex stripping and the erosion of coherent structures in two‐dimensional flows
journal, December 1994

  • Mariotti, Annarita; Legras, Bernard; Dritschel, David G.
  • Physics of Fluids, Vol. 6, Issue 12
  • DOI: 10.1063/1.868385

Steady-State Confinement of Non-neutral Plasmas by Rotating Electric Fields
journal, February 1997


Zombie Vortex Instability. i. a Purely Hydrodynamic Instability to Resurrect the dead Zones of Protoplanetary Disks
journal, July 2015

  • Marcus, Philip S.; Pei, Suyang; Jiang, Chung-Hsiang
  • The Astrophysical Journal, Vol. 808, Issue 1
  • DOI: 10.1088/0004-637X/808/1/87

A wave interaction approach to studying non-modal homogeneous and stratified shear instabilities
journal, August 2014

  • Guha, Anirban; Lawrence, Gregory A.
  • Journal of Fluid Mechanics, Vol. 755
  • DOI: 10.1017/jfm.2014.374

Sensitivity of vortex pairing and mixing to initial perturbations in stratified shear flows
journal, June 2019


On the stabilization of a two-dimensional vortex strip by adverse shear
journal, September 1989


Nonlinear Evolution of Hydrodynamical Shear Flows in Two Dimensions
journal, November 2007

  • Lithwick, Yoram
  • The Astrophysical Journal, Vol. 670, Issue 1
  • DOI: 10.1086/522074

Confinement and manipulation of non-neutral plasmas using rotating wall electric fields
journal, July 2000

  • Hollmann, E. M.; Anderegg, F.; Driscoll, C. F.
  • Physics of Plasmas, Vol. 7, Issue 7
  • DOI: 10.1063/1.874128

Suppression of turbulence and transport by sheared flow
journal, January 2000


Diocotron Instability in a Cylindrical Geometry
journal, January 1965


Modeling Oceanic and Atmospheric Vortices
journal, March 1993

  • Dritschel, David G.; Legras, Bernard
  • Physics Today, Vol. 46, Issue 3
  • DOI: 10.1063/1.881375

Compressional effects in nonneutral plasmas, a shallow water analogy and m=1 instability
journal, October 1999

  • Finn, John M.; del-Castillo-Negrete, Diego; Barnes, Daniel C.
  • Physics of Plasmas, Vol. 6, Issue 10
  • DOI: 10.1063/1.873637

Zonal Flows and Transient Dynamics of the L H Transition
journal, May 2003


Turbulent cascade in vortex dynamics of magnetized pure electron plasmas
journal, June 2007


Cooling of a pure electron plasma by cyclotron radiation
journal, January 1980


Evolution of a Vortex in a Strain Flow
journal, December 2016