Laboratory astrophysics with magnetizedlaser-produced plasmas
Andrea Ciardi
LERMAObservatoire de Paris and Université Pierre et Marie Curie, CNRS UMR 8112MAGNETIZED
ACCRETION COLUMNS
Collaborators & Acknowledgements
B. Khiar, L. Nicolas (LERMA, Obs. Paris & UPMC, France)
J. Fuchs, T. Vinci, B. Albertazzi, D. Higginson, M. Nakatsutsumami, Z. Burkley, S. N. Chen, L.Romagnani, C. Riconda, R. Riquier (LULI, Ecole Polytechnique, France)
J. Beard, J. Billette, O. Portugall (LNCMI, France)
R. Bonito, S. Orlando (Univ. Palermo, Italy), H. Pepin (INRS-EMT, Canada), S. Pikuz (JIHT,Russia), K. Naughton (QUB, UK), A. Soloviev (IAP, Russia), R. Smets (LPP, France)
T. E. Cowan, F. Kroll, H-P. Schlenvoight (Tech. University and HZDR, Germany)
A. Frank, M. Huarte-Espinosa (Univ. Rochester, USA)
Ackwnoledgements. Work was partly funded by the LABEX Plas@Par and the ANR blancSILAMPA.
MFU V (2015) [email protected] 2 / 23
Plasmas and high-power lasers
I Laser intensity 1012 − 1014 W cm−2(long-pulse ∼ 1 ns) Plasma evolution over few ×10 ns Plasma volume 1 cm3
I Plasma material: (CxHy)n, Al, Cu, ....I Temperatures ∼ (1− 3)× 106 KI Particle density ∼ 1018 − 1021 cm−3
I Velocities ∼ 100− 1000 km s−1
I Mach number (fast-magnetosonic) � 1I Reynolds number ∼ 105
I Magnetic Reynolds number ∼ 100− 1000I Plasma-β � 1I Radiatively cooled flows: τcool/τhydro � 1
MFU V (2015) [email protected] 3 / 23
Magnetic fields in laser-produced plasmas
I Self-generated fields (Biermannbattery)
∂B∂t =
ce∇×
(1ne∇Pe
) Mega Gauss magnetic fields Limited in spatial (few ×100µm)
and temporal extent (ns) to laserspot, asymmetric shocks, ...
I Externally applied magnetic fields Fraction of a MG Long-lasting (hundreds of ns) and
large-scale (cm3) Gao et al 2015
MFU V (2015) [email protected] 4 / 23
Experiments on the ELFI laser at LULI
Magnetic field generation and laserI Split Helmholtz coil (LNCMI Toulouse)I Pulsed-power: 32 kJ, 25 kV, 250 kA
HZDR Helmholtz DresdenReossendorf)
I Bmax ' 40T = 0.4MG homogeneousover the plasma extent
Overview of the talkI Jet collimationI Magnetized accretion columns and
shocksI Ion/ion streaming instabilities
Albertazzi+ Rev.Sci.Inst. 2013MFU V (2015) [email protected] 5 / 23
Modelling tools
Laboratory simulations
I GORGON (Ciardi+2007) 3D MHD + high-energy density (HED) physicsI DUED (Atzeni+2004) Lagrangian hydrodynamics 2D + HED physicsI FLASH (Tzeferacos+2014) 3D MHD + HED physics
HED physics: Laser energy absorption, two-temperatures (ion and electron),multi-group radiation transport, tabulated EOS, thermal conduction, ...
Astrophysical simulations
I RAMSES (Teyssier+2002) 3D MHDI PLUTO (Mignone+2005) 3D MHDI HECKLE (Smets+2007) 3D hydbrid (PIC ions + fluid electrons)
MFU V (2015) [email protected] 6 / 23
Poloidal collimation in astrophysics
I Shape supernova remnants (Kulsrud etal 1965)
MFU V (2015) [email protected] 8 / 23
Poloidal collimation in astrophysics
I Shape supernova remnants (Kulsrud etal 1965)
I Collimation of stellar winds into jets(Kwan and Tademaru 1988)
I Simulations (Stone et al 1992) showedthe formation of elongated outflowfrom an isotropic wind.
MFU V (2015) [email protected] 8 / 23
Poloidal collimation in astrophysics
I Shape supernova remnants (Kulsrud etal 1965)
I Collimation of stellar winds into jets(Kwan and Tademaru 1988)
I Simulations (Stone et al 1992) showedthe formation of elongated outflowfrom an isotropic wind.
MFU V (2015) [email protected] 8 / 23
Poloidal collimation in astrophysics
I Shape supernova remnants (Kulsrud etal 1965)
I Collimation of stellar winds into jets(Kwan and Tademaru 1988)
I Simulations (Stone et al 1992) showedthe formation of elongated outflowfrom an isotropic wind.
I Potential role of poloidal collimationcoupled to MHD launching (Matt et al2003)
MFU V (2015) [email protected] 8 / 23
Magnetized laser-driven plasmas to studyastrophysical jets
Estimates of B and tcoll
I Spherical expansion halted whenρv 2 ∼ B2
0/8πI Collimation radius
Rcoll ∼ 0.8(EK/B2
0)1/3 cm
I Bulk kinetic energy EK = f ELwith f ∼ 0.2− 0.5 a
I Collimation time-scale
tcoll ∼ Rcoll/vexp
wherevexp(cm/s) ∼ 4.6× 107I1/3λ2/3 b
aMeyer & Thiell 1984bTabak et al 1994
MFU V (2015) [email protected] 9 / 23
Magnetized laser-driven plasmas to studyastrophysical jets
Estimates of B and tcoll
I Spherical expansion halted whenρv 2 ∼ B2
0/8πI Collimation radius
Rcoll ∼ 0.8(EK/B2
0)1/3 cm
I Bulk kinetic energy EK = f ELwith f ∼ 0.2− 0.5 a
I Collimation time-scale
tcoll ∼ Rcoll/vexp
wherevexp(cm/s) ∼ 4.6× 107I1/3λ2/3 b
aMeyer & Thiell 1984bTabak et al 1994
Nominal laser parameters:EL = 50 − 500 J ; τL = 1 ns; λ = 1.064µm;
φ = 750µmNeed B0 & 0.1 MG “steady” over t � 10 ns
MFU V (2015) [email protected] 9 / 23
3D MHD simulations: time-evolutionI ∼ 1014 W cm−2 and B0 ∼ 0.2MG
Ciardi+2013MFU V (2015) [email protected] 10 / 23
Flow instabilitiesRayleigh-Taylor type filamentation instability1
Configuration similar to a θ-pinchI Growth rate
γ ∼√
gkθ
kθ = m/Rjet
g ∼ v 2/RC
I Growth time-scale is short
τI ∼τcoll√
m∼ few ns
1Kleev & Velikovich 1990MFU V (2015) [email protected] 11 / 23
First evidence of cm-long magnetized jets in laserexperiments
Albertazzi+ Science 2014MFU V (2015) [email protected] 12 / 23
Poloidal collimation of a stellar/disk winds
I Stellar/disk wind from a source 8 AU indiameter
I Magnetic field is uniform or hourglass shapedI Wind parameters “typical” of young stellar
objects Full opening angle α = 60◦ − 180◦
Mass ejection rates:MW ∼ 10−8 − 10−7 M� yr−1
Wind velocity:vw ∼ 100 − 400 km s−1(with 5%perturbation)
Magnetic field: B ∼ 3 − 40mG T = 104 K
I Interstellar gas has uniform density andnegligible thermal pressure
I 3D MHD + cooling done with RAMSES(Teyssier 2002, Fromang et al 2006) Adaptive mesh: up to 5 levels and
maximum resolution of 0.25 AU
MFU V (2015) [email protected] 13 / 23
Uniform magnetic field, isotropic wind
B = 10 mG; Mw = 10−7 M� yr−1 ; vw ∼ 200 km s-1
mass density log10 ρ (g cm-3)
MFU V (2015) [email protected] 14 / 23
Effects of changing the strength of the initialmagnetic fieldHour-glass magnetic field from Cao & Spruit 1997
Mw = 5 × 10−8 M� yr−1; vw ∼ 200 km s-1; α = 120◦
mass density log10 ρ (g cm-3)
Origin of stationary soft x-ray sourcesSee Gudel et al; Schneider et al; Bonito et al
I Observation of stationary (several years)x-ray emission D ∼ 30− 140 AU from
I LX ∼ 1028 − 1029 erg s-1
I TX ∼ 3− 7× 106 K
MFU V (2015) [email protected] 16 / 23
Origin of stationary soft x-ray sourcesSee Gudel et al; Schneider et al; Bonito et al
I Observation of stationary (several years)x-ray emission D ∼ 30− 140 AU from
I LX ∼ 1028 − 1029 erg s-1
I TX ∼ 3− 7× 106 K
I Emission measure EM(T ) =∫
nenHdV more x-ray emitting material for low B
I LX depends (among other things) on B
MFU V (2015) [email protected] 16 / 23
MAGNETIZED ACCRETION COLUMNS
Magnetized accretion columns in YSO
I Material from the accretion discis channeled along magneticfield lines and falls onto the star.
MFU V (2015) [email protected] 18 / 23
Magnetized accretion columns in YSO
I Material from the accretion discis channeled along magneticfield lines and falls onto the star.
I We are interested in studying inthe laboratory the stability anddynamics of magnetizedaccretion columns Numerical simulations are
generally limited to 2Daxisymmetry
Influence of back-flowingplasma on the reverse shock
Orlando+2010
MFU V (2015) [email protected] 18 / 23
Magnetized accretion columns in YSO
I Material from the accretion discis channeled along magneticfield lines and falls onto the star.
I We are interested in studying inthe laboratory the stability anddynamics of magnetizedaccretion columns Numerical simulations are
generally limited to 2Daxisymmetry
Influence of back-flowingplasma on the reverse shock
MFU V (2015) [email protected] 18 / 23
ION STREAMING INSTABILITY
Streaming instability
I Energetic ions streaming along magnetic filed lines with vbulk � VA can leadto the rapid non-linear growth of magnetic field perturbations (Alfven andmagnetosonic).
I Important in transport/confinement low-energy (< 100 MeV) cosmic rays diffusive shock acceleration pick-up ions in the solar wind and presence of diffuse ions in the foreshock
e.g. see reviews by Gary et al 1991 et Zweibel 2013
MFU V (2015) [email protected] 20 / 23
Streaming instability: experiments
Experiments planned for 2016 on the ELFIElaserI nbeam/nback ∼ 0.001− 0.1I vbeam/VA ∼ 10− 100I Diagnostics
electron density and temperaturefluctuations (interferometry andThomson scattering), ion energyspectrum (Thomson parabola),magnetic field (Faraday rotation), ...
Toncian+2006
MFU V (2015) [email protected] 21 / 23
Outlook
Coupling of laser-produced plasmas with “strong” magnetic fields can help toclarify the physics of (some) astrophysical systems/process.
Many more astrophysically relevant experiments done over all the world on laserand z-pinch machines.
I See the high-energy density laboratory astrophysics conference website forsome ideas hedla2014.sciencesconf.org Plasma physics / Stellar explosions / Magnetized HED laboratory astrophysics
/ Astrophysical disks, jets, and outflows / Stellar, solar and nuclearastrophysics / Computations in HED physics / Radiative hydrodynamics /Warm dense matter