Overview of CMSO
Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas
S. Prager May, 2006
Outline
• Physics topics • Participants • Physics goals and highlights • Educational outreach • Management structure • Funding
Magnetic self-organization
nonlinear plasma phy sics
se lf-o r g aniz at io n
energy source
large-scale st ruct ure
magnet ic inst abilit ies
The nonlinear plasma physics
dy namo magnet ic reconnect ion angular moment um t ransport magnet ic chaos and t ransport magnet ic helicit y conserv at ion ion heat ing
se lf-o r g aniz at io n
energy source
large-scale st ruct ure
magnet ic inst abilit ies
Magnetic self-organization in the lab
˜ B~ b B(a) B
(T) .04
.02
0
magnetic fluctuations (reconnection) dynamo energy transport momentum transport
C4+
toroidal magnetic a2 .07 flux
heat flux Q
.06 1.5 1.0 0 30 20 10 0 0.4 0.2 0 –2 –1 0 Time (ms) 1
(MW/m2) (MW/m2) 0.5
rotation
V (km/s) (km/s)
ion temperature Tion
(keV)
(KeV)
ion heating
2
time (ms)
CMSO goal: understand plasma physics needed to solve key laboratory and astrophysical problems
• linking laboratory and astrophysical scientists • linking experiment, theory, computation
Original Institutional Members
Princeton University The University of Chicago The University of Wisconsin Science Applications International Corp Swarthmore College Lawrence Livermore National Laboratory
~25 investigators,
~similar number of postdocs and students
~ equal number of lab and astrophysicists
With New Funded Members
Princeton University The University of Chicago The University of Wisconsin Science Applications International Corp Swarthmore College Lawrence Livermore National Laboratory Los Alamos National Laboratory (05) University of New Hampshire (05) ~30 investigators,
~similar number of postdocs and students
~ equal number of lab and astrophysicists
Cooperative Agreements (International)
Ruhr University/Julich Center, Germany(04)
Torino Jet Consortium, Italy (05)
Experimental facilities
Facilit y
MST
( Madison Symme tr ic Torus)
Inst it ution
Universit y of Wisco nsin Princet on Universit y Lawrence Livermore Nat ional Lab Swart hmore College Princet on Universit y
Descript ion
Reversed Field Pinch Merging Plasmas Sphero mak Merging Plasmas Flow ing liquid gallium
MRX
( Magnet ic Reconnect ion Exp t )
SSPX
( St eady St at e Spheromak Exp t )
SSX
( Swa rth more Spheromak Exp t )
MRI experime nt
•yields range of topologies and critical parameters •Joint experiments and shared diagnostics
MRX: Magnetic Reconnection Experiment (Princeton)
SSX: Swarthmore Spheromak Experiment
SSPX: Sustained Spheromak Physics Experiment (LLNL)
MST: Madison SymmetricTorus (Wisconsin)
MRX
Inductively produced plasmas, Spheromak or annular plasmas
Locailzed reconnection at merger
SSX
Electrostatically - produced spheromaks (by plasma guns) Two spheromaks reconnect and merge
SSPX
Electrostatically - produced spheromak
MST
Reversed field pinch
Liquid gallium MRI experiment (Princeton)
To study the magnetorotational instability
Major Computational Tools
Code
NEK 5000 Li2
Inst it ution
Universit y of Chicago
Descript ion
Spect ral f init e elements incomp ressible resistiv e MHD ( Any geomet ry ) Nonlinear, 3 D, ideal HD/ MHD, Cart esian, Cylind rical, Spherical Third ord er hyb rid, essenti ally nonoscillat ory ( ENO) isoth erm al code f or comp ressible MHD Fully spect ral, incomp ressible, resistiv e MHD ( slab or t riply periodic) Nonlinear, 3 D, resistiv e MHD , cyl ind rical geo met ry Nonlinear, 3 D, resistiv e, t wo -f luid , t oro idal g eomet ry Nonlinear, 3 D relat ivi sti c PIC
Los A lamos
Universit y of Wisconsin
Universit y of Chicago
DEBS NIMROD VPIC
SAIC, U. Wisconsin
Multi -instit uti onal (W isconsin, SAIC, Los A lamos) Los A lamos
•Not an exhaustive list •Codes built largely outside of CMSO •Complemented by equal amount of analytic theory
Sample Physics Highlights
• New or emerging results • Mostly where center approach is critical
We are pursuing much of the original plans, but new investigations have also arisen (plans for next 2 years discussed later)
Reconnection
• Two-fluid Hall effects • Reconnection with line tying • Effects of coupled reconnection sites • Effects of lower hybrid turbulence not foreseen in proposal
Hall effects on reconnection
• Identified on 3 CMSO experiments (MRX, SSX, MST)
• Performed quasilinear theory
• Will study via two-fluid codes (NIMROD, UNH) and possibly via LANL PIC code
Observation of Hall effects
Observed quadrupole B component, MRX SSX
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radius also observed in magnetosphere
Reconnection with line-tying
• Studied analytically (UW, LANL) and computationally(UW)
• Compare to non-CMSO linear experiments
• Features of periodic systems survive (e.g.,large, localized currents)
Linear theory for mode resonance in cylinder
v
periodic
line-tied
radius
radius
Effects of multiple, coupled reconnections
Many self-organizing effects in MST occur ONLY with multiple reconnections
Effects of multiple, coupled reconnections
Many self-organizing effects in MST occur ONLY with multiple reconnections core reconnection only core reconnection multiple reconnections core
edge reconnection
edge
•Applies to magnetic energy release, dynamo, momentum transport, ion heating
•Related to nonlinear mode coupling
•Might be important in astrophysics where multiple reconnections may occur (e.g., solar flare simulations of Kusano)
Lower hybrid turbulence
Detected in MRX Magnetic fluctuations
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0
10
f(MHz)
•Reconnection rate turbulence amplitude; •Instability theory developed, •May explain anomalous resistivity
Lower hybrid turbulence
Detected in MRX Magnetic fluctuations
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Similar to turbulence in magnetosphere (Cluster)
E B
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0
10
f(MHz)
•Reconnection rate ~ turbulence amplitude; •Instability theory developed, •May explain anomalous resistivity
Momentum Transport
radial transport of toroidal momentum
rotation
momentum transport
In accretion disks, solar interior, jets, lab experiments, classical viscosity fails to explain momentum transport
Leading explanation in astrophysics
MHD instability Flow-driven (magnetorotational instability) momentum transported by j x b and v.v
Leading explanation in lab plasma
resistive MHD instability current-driven (tearing instability) momentum transported by j x b and v.v
Momentum Transport Highlights
• MRI in Gallium: experiment and theory
• MRI in disk corona: computation • Momentum transport from current-driven reconnection
MRI in Gallium
• Experiment (Princeton) hydrodynamically stable, ready for gallium V
v
--- Couette flow + diff. endcaps flow Couette + end caps rotate with outer cyl. experiment
r
radius
•Simulation (Chicago) underway
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MRI in disk corona • Investigate effects of disk corona on momentum transport; possible strong effect
• Combines idea from Princeton, code from SAIC
initial state: flux dipole
...after a few rotations
Momentum transport from current-driven reconnection experiment
Requires multiple tearing modes (nonlinear coupling)
Theory and computation of Maxwell stress in MHD
quasilinear theory for one tearing mode computation for multiple, interacting modes
˜B j ˜
resonant surface
˜B j ˜
r
An effect in astrophysical plasmas?
reconnection and flow is ubiquitous raises some important theoretical questions
(e.g., effect of nonlinear coupling on spatial structure)
Ion Heating
Ion heating in solar wind
thermal speed km/s
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r/Rsun
Strong perpendicular heating of high mass ions
Ion heating in lab plasma
Observed during reconnection in all CMSO experiments
Ti (eV)
t = +0.50 ms
MST
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t = -0.25 ms
radius
Conversion of magnetic energy to ion thermal energy
~ 10 MW flows into the ions
change in thermal energy
ion (J)
MRX
reconnected magnetic field energy (J)
Magnetic energy can be converted to Alfvenic jets
magnetic energy
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SSX
Energetic ion flux
time (s)
Ions heated only with core and edge reconnection
MST
˜ B
Ti (eV)
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core reconnection edge reconnection
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time (ms)
What is mechanism for ion heating?
• Still a puzzle
• Theory of viscous damping of magnetic fluctuations has been developed
Magnetic chaos and transport
Magnetic turbulence
Transport in chaotic magnetic field
Magnetic chaos and transport
Magnetic turbulence • Star formation • Heating via cascades • Scattering of radiation • Underlies other CMSO topics
Transport in chaotic magnetic field • Heat conduction in galaxy clusters (condensation) • Cosmic ray scattering
Magnetic turbulence
• Properties of Alfvenic turbulence • Intermittency in magnetic turbulence • Comparisons with turbulence in experiments Sample results: Intermittency explains pulsar pulse width broadening, Observed in kinetic Alfven wave turbulence
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computation
Measurements underway in experiment for comparison
Transport in chaotic field
Experiment
measure transport vs gyroradius in chaotic field
Transport in chaotic field
Experiment
measure transport vs gyroradius in chaotic field Result Small gyroradius (electrons): large transport Large gyroradius (energetic ions): small transport
Ion orbits well-ordered
Transport measured via neutron emission from energetic ions produced by neutral beam injection
Possible implications for relativistic cosmic ray ions
The Dynamo
Why is the universe magnetized?
• Growth of magnetic field from a seed
• Sustainment of magnetic field
• Redistribution of magnetic field
Why is the universe magnetized?
• Growth of magnetic field from a seed primordial plasma • Sustainment of magnetic field e.g., in solar interior in accretion disk • Redistribution of magnetic field e.g., solar coronal field extra-galactic jets
The disk-jet system
Field sustained (the engine)
Field produced from transport
CMSO Activity
• Theoretical work on all problems
the role of turbulence on the dynamo, flux conversion in jets,
• Lab plasma dynamo effect:
field transport, with physics connections to growth and sustainment
Abstract dynamo theory
Small-scale field generation (via turbulence) Computation: dynamo absent at low / Theory: dynamo present at high Rm
Large-scale field generation No dynamo via homogeneous turbulence, Large-scale flows sustains field
Magnetic field fluctuations generated by turbulent convection
Dynamo action driven by shear and magnetic buoyancy instabilities.
MHD computation of Jet production
Magnetically formed jet
|J| contours
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MHD computation of Jet evolution
Magnetically formed jet
|J| contours
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helical fields
develop in jet
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When kink unstable, flux conversion B -> Bz Similarities to experimental fields
Dynamo Effect in the Lab
in experiment
2.0
E j
E ||
1.5
V/m
E||
1.0 0.5
neo j|| J||
(Zeff = 2)
0.0 -0.5 0.0 0.2
0.4
radius additional current drive mechanism (dynamo)
/a
0.6
0.8
1.0
Hall dynamo is significant
˜ ˜ E || v B || ˜B j ˜ ne
||
j
||
Hall dynamo
(theory
significant)
Hall dynamo is significant
˜ ˜ E || v B ||
experiment:
˜B j ˜ ne
||
j
||
Hall dynamo
˜B j ˜ ne
||
Laser Faraday rotation
Questions for the lab plasma, relevant to astrophysics • At what conditions (and locations) do two-fluid and MHD dynamos dominate? • Is the final plasma state determined by MHD, with mechanism of arrival influenced by two-fluid effects? • Is the lab alpha effect, based on quasi-laminar flows, a basis for field sustainment (possibly similar to conclusion from computation for astrophysics)
CMSO Educational Outreach
•Highlight is Wonders of Physics program •Supported by CMSO and DOE (50/50)
•Established before CMSO,
expanded in quantity and quality
~ 150 traveling shows/yr
all 72 Wisconsin counties, plus selected other states
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~ 6 campus shows
Center Organization
Topical Coordinators
each pair = 1 lab, 1 astro person
• Reconnection • Momentum transport • Dynamo • Ion Heating • Chaos and transport • Helicity • Educational outreach
Yamada, Zweibel Craig, Li Cattaneo, Prager Fiksel, Schnack Malyshkin, Terry Ji, Kulsrud Reardon, Sprott
CMSO Steering Committee
F. Cattaneo H. Ji S. Prager D. Schnack C. Sprott P. Terry M. Yamada E. Zweibel
meets weekly by teleconference
CMSO Program Advisory Committee
S. Cowley (Chair) P. Drake UCLA University of Michigan
W. Gekelman
R. Lin G. Navratil E. Parker A. Pouquet
UCLA
UC - Berkeley Columbia University University of Chicago NCAR, Boulder, CO
D. Ryutov
Lawrence Livermore National Lab
CMSO International Liaison Committee
M. Berger A. Burkert K. Kusano P. Martin University College, London, UK The University of Munich, Germany Hiroshima University, Japan Consorzio RFX, Padua, Italy
Y. Ono
M. Velli N. Weiss
Tokyo University, Japan
Universita di Firenze, Italy Cambridge University, UK
CMSO Meetings
Sept, 03 Ion heating/chaos (Chicago) Sept, 03 Reconnection/momentum (Princeton) Oct, 03 Dynamo (Chicago) Nov, 03 General meeting (Chicago) June,04Hall dynamo and relaxation (Princeton) Aug, 04 General meeting (Madison) Sept, 04 PAC meeting (Madison) Oct, 04 Reconnection (Princeton) Jan, 05 Video conference of task leaders March, 05 General meeting (San Diego) April, 05 Dynamo/helicity meeting (Princeton) June, 05 Intermittency and turbulence (Madison) June, 05 Experimental meeting (Madison) Oct, 05 General meeting (Princeton) Nov, 05 PAC meeting (Madison) Jan, 06 Winter school on reconnection (Los Angeles, w/CMPD) March, 06 Line-tied reconnection (Los Alamos) June, 06 Workshop on MSO (Aspen, with CMPD)) Aug, 06 General meeting (Chicago)
Budget
• NSF $2.25M/yr for five years
• DOE
~$0.4M to PPPL ~$0.1M to LLNL ~$0.15M to UNH all facility and base program support
~$0.34M
• LANL
CMSO is a partnership between NSF and DOE
Summary
•CMSO has enabled many new, cross-disciplinary physics activities (and been a learning experience) •New linkages have been established (lab/astro, expt/theory, expt/expt) •Many physics investigations completed, many new starts
•The linkages are strong, but still increasing,
the full potential is a longer-term process than 2.5 years