The fluid Taylor scale is measured in the Bryn Mawr Experiment (BMX) of the Bryn Mawr Plasma Laboratory and examined as a potential dissipation scale of magnetic turbulence within the plasma. We present the first laboratory measurements of the Taylor scale of a turbulent magnetized plasma through multi-point correlations of broadband magnetic fluctuations. From spatial and temporal correlations, respectively, the measured Taylor scales are and . These measurements are on the same order of magnitude as estimated ion dissipation scales within the BMX plasma with ion inertial scales between and ion gyroscales between . From these measurements, a magnetic Reynolds number can be computed. Since Taylor scale values are determined using multi-point correlations and a Richardson extrapolation technique, an estimate of the magnetic Reynolds number can be found without the added complication of specifying a model of microscopic diffusivity, a parameter often difficult to obtain experimentally.
References
1.
G. K.
Batchelor
, The Theory of Homogeneous Turbulence
, Cambridge Science Classics (Cambridge University Press
, 1970
).2.
U.
Frisch
, Turbulence: The Legacy of A.N. Kolmogorov
(Cambridge University Press
, 1995
).3.
H.
Belmabrouk
and M.
Michard
, “Taylor length scale measurement by laser Doppler velocimetry
,” Exp. Fluids
25
, 69
–76
(1998
).4.
H.
Belmabrouk
, “A theoretical investigation of the exactness of Taylor length scale estimates from two-point LDV
,” Exp. Therm. Fluid Sci.
22
, 45
–53
(2000
).5.
W. H.
Matthaeus
, S.
Dasso
, J. M.
Weygand
, L. J.
Milano
, C. W.
Smith
, and M. G.
Kivelson
, “Spatial correlation of solar-wind turbulence from two-point measurements
,” Phys. Rev. Lett.
95
, 231101
(2005
).6.
J. M.
Weygand
, W. H.
Matthaeus
, S.
Dasso
, M. G.
Kivelson
, and R. J.
Walker
, “Taylor scale and effective magnetic Reynolds number determination from plasma sheet and solar wind magnetic field fluctuations
,” J. Geophys. Res.
112
, A10201
, (2007
).7.
J. M.
Weygand
, W. H.
Matthaeus
, S.
Dasso
, M. G.
Kivelson
, L. M.
Kistler
, and C.
Mouikis
, “Anisotropy of the Taylor scale and the correlation scale in plasma sheet and solar wind magnetic field fluctuations
,” J. Geophys. Res.
114
, A07213
, (2009
).8.
J. M.
Weygand
, W. H.
Matthaeus
, M.
El-Alaoui
, S.
Dasso
, and M. G.
Kivelson
, “Anisotropy of the Taylor scale and the correlation scale in plasma sheet magnetic field fluctuations as a function of auroral electrojet activity
,” J. Geophys. Res.
115
, A12250
, (2010
).9.
J. M.
Weygand
, W. H.
Matthaeus
, S.
Dasso
, and M. G.
Kivelson
, “Correlation and Taylor scale variability in the interplanetary magnetic field fluctuations as a function of solar wind speed
,” J. Geophys. Res.
116
, A08102
, (2011
).10.
R.
Bandyopadhyay
, W. H.
Matthaeus
, A.
Chasapis
, C. T.
Russell
, R. J.
Strangeway
, R. B.
Torbert
, B. L.
Giles
, D. J.
Gershman
, C. J.
Pollock
, and J. L.
Burch
, “Direct measurement of the solar-wind Taylor microscale using MMS turbulence campaign data
,” Astrophys. J.
899
, 63
(2020
).11.
M. R.
Brown
and D. A.
Schaffner
, “Laboratory sources of turbulent plasma: A unique MHD plasma wind tunnel
,” Plasma Sources Sci. Technol.
23
, 063001
(2014
).12.
D. A.
Schaffner
and M. R.
Brown
, “Multifractal and monofractal scaling in a laboratory magnetohydrodynamic turbulence experiment
,” Astrophys. J.
811
, 61
(2015
).13.
D. A.
Schaffner
, V. S.
Lukin
, A.
Wan
, and M. R.
Brown
, “Turbulence analysis of an experimental flux-rope plasma
,” Plasma Phys. Controlled Fusion
56
, 064003
(2014
).14.
D. A.
Schaffner
, M. R.
Brown
, and V. S.
Lukin
, “Temporal and spatial turbulent spectra of MHD plasma and an observation of variance anisotropy
,” Astrophys. J.
790
, 126
(2014
).15.
K. T.
Osman
, W. H.
Matthaeus
, J. T.
Gosling
, A.
Greco
, S.
Servidio
, B.
Hnat
, S. C.
Chapman
, and T. D.
Phan
, “Magnetic reconnection and intermittent turbulence in the solar wind
,” Phys. Rev. Lett.
112
, 215002
(2014
).16.
K. G.
Klein
, G. G.
Howes
, J. M.
TenBarge
, and F.
Valentini
, “Diagnosing collisionless energy transfer using field–particle correlations: Alfvén-ion cyclotron turbulence
,” J. Plasma Phys.
86
, 905860402
(2020
).17.
K. G.
Klein
, G. G.
Howes
, and J. M.
TenBarge
, “Diagnosing collisionless energy transfer using field-particle correlations: Gyrokinetic turbulence
,” J. Plasma Phys.
83
, 535830401
(2017
).18.
W. H.
Matthaeus
, J. M.
Weygand
, P.
Chuychai
, S.
Dasso
, C. W.
Smith
, and M. G.
Kivelson
, “Interplanetary magnetic Taylor microscale and implications for plasma dissipation
,” Astrophys. J.
678
, L141
–L144
(2008
).19.
G. I.
Taylor
, “Statistical theory of turbulenc
,” Proc. R. Soc. A.
151
, 421
–444
(1935
).20.
A.
Shalchi
, “Perpendicular transport of energetic particles in magnetic turbulence
,” Space Sci. Rev.
216
, 23
(2020
).21.
Y.
Kaneda
, “Lagrangian and Eulerian time correlations in turbulence
,” Phys. Fluids A
5
, 2835
–2845
(1993
).22.
G. I.
Taylor
, “The spectrum of turbulence
,” Proc. R. Soc. A
164
, 476
–490
(1938
).23.
C. G. R.
Geddes
, T. W.
Kornack
, and M. R.
Brown
, “Scaling studies of spheromak formation and equilibrium
,” Phys. Plasmas
5
, 1027
(1997
).24.
C. H. K.
Chen
, “Recent progress in astrophysical plasma turbulence from solar wind observations
,” J. Plasma Phys.
82
, 535820602
(2016
).25.
P.
Chuychai
, J. M.
Weygand
, W. H.
Matthaeus
, S.
Dasso
, C. W.
Smith
, and M. G.
Kivelson
, “Technique for measuring and correcting the Taylor microscale
,” J. Geophys. Res.
119
, 4256
–4265
, (2014
).26.
C. D.
Cothran
, M. R.
Brown
, T.
Gray
, M. J.
Schaffer
, and G.
Marklin
, “observation of a helical self-organized state in a compact toroidal plasma
,” Phys. Rev. Lett.
103
, 215002
(2009
).27.
T.
Gray
, M. R.
Brown
, and D.
Dandurand
, “Observation of a relaxed plasma state in a quasi-infinite cylinder
,” Phys. Rev. Lett.
110
, 085002
(2013
).28.
P. M.
Bellan
, Spheromaks a Practical Application of Magnetohydrodynamic Dynamos and Plasma Self-Organization
(Imperial College Press
, London
, 2000
).29.
K. J.
Burns
, G. M.
Vasil
, J. S.
Oishi
, D.
Lecoanet
, and B. P.
Brown
, “Dedalus: A flexible framework for numerical simulations with spectral methods
,” Phys. Rev. Res.
2
, 023068
(2020
).© 2022 Author(s). Published under an exclusive license by AIP Publishing.
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