SN1006, a supernova remnant. The thin blue edge around the structure represents bright emissions from expanding magnetized collisionless shocks. Photo courtesy of NASA.
Magnetized collisionless shocks are found where super-magnetosonic plasma flows interact in a pre-existing magnetic field, and are the most prevalent type of shocks in the universe, from planetary bow shocks and the heliopause to supernova remnants and galaxy clusters. These shocks are known to accelerate particles to extremely high energies, and are mediated by electromagnetic effects over characteristic length scales much shorter than the particle mean free path. Our understanding of these shocks has been traditionally based on spacecraft measurements and telescope observations, but these are limited to either the smallest or largest scales in uncontrolled plasma conditions. Consequently, many fundamental questions of shock physics remain unanswered, such as how energy is partitioned across a shock or how particles are accelerated by shocks.
By utilizing high-energy lasers and HED plasmas, these questions can be addressed in the lab, with the goal of complementing spacecraft and telescope data with well-controlled and diagnosed experiments. The lasers ablate thin foils to drive supersonic piston plasmas, which sweep up ambient plasma and magnetic fields like a snowplow to drive a collisionless shock. While these laboratory shocks occur over only a few millimeters and nanoseconds, orders of magnitude smaller than those seen in space, they match key dimensionless parameters like Mach number and scale size. Combined with large particle-in-cell simulations, this allows direct comparisons between lab and astrophysical collisionless shocks.
We are currently performing experiments to study partilcle acceleration, shock heating, and shock structure on several of the world's largest HED facilities, including the Omega Laser Facility at the Laboratory for Laser Energetics (LLE), the National Ignition Facility (NIF) at Lawrence Livermore National Lab, and the Z Machine at Sandia National Labs.
2D particle-in-cell simulation of a laser-driven quasi-parallel collisionless shock in a NIF-like experiment.
Y. Zhang, P. V. Heuer, J. R. Davies, D. B. Schaeffer, H. Wen, F. Garcia-Rubio, and C. Ren. "Kinetic study of shock formation and particle acceleration in laser-driven quasi-parallel magnetized collisionless shocks," Physics of Plasmas 31, 082303 (2024).
P. Pongkitiwanichakul, et al. "Kinetic simulations comparing quasi-parallel and quasi-perpendicular piston-driven collisionless shock dynamics in magnetized laboratory plasmas," Physics of Plasmas 31, 012901 (2024).
K. V. Lezhnin, et al. "Kinetic Simulations of Electron Pre-energization by Magnetized Collisionless Shocks in Expanding Laboratory Plasmas," The Astrophysical Journal Letters 908, L52 (2021).
D. B. Schaeffer, et al. "Kinetic Simulations of Piston-Driven Collisionless Shock Formation in Magnetized Laboratory Plasmas," Physics of Plasmas 27, 042901 (2020).
D. B. Schaeffer, et al. "Direct Observations of Particle Dynamics in Magnetized Collisionless Shock Precursors in Laser-Produced Plasmas," Physical Review Letters 122, 245001 (2019).
D. B. Schaeffer, et al. "High-Mach number, laser-driven magnetized collisionless shocks (Invited)," Physics of Plasmas 24, 122702 (2017).
D. B. Schaeffer, et al. "Generation and Evolution of High-Mach-Number Laser-Driven Magnetized Collisionless Shocks in the Laboratory," Physical Review Letters 119, 025001 (2017).
A. S. Bondarenko, et al. "Collisionless momentum transfer in space and astrophysical explosions," Nature Physics 13, 573 (2017).
D. B. Schaeffer, et al. "On the generation of magnetized collisionless shocks in the Large Plasma Device," Physics of Plasmas 24, 041405 (2017).
Schematic diagram of Earth's magnetosphere. Photo courtesy of NASA.
Magnetospheres are a common feature of magnetized bodies embedded in a plasma flow. In planetary magnetospheres like the Earth’s, a key process driving magnetospheric dynamics is magnetic reconnection, in which magnetic energy is explosively released when opposing magnetic field lines merge and annihilate. In space environments, this reconnection is collisionless and controlled by kinetic-scale plasma physics. Mini-magnetospheres, small ion-scale structures that are well-suited to studying kinetic-scale physics, provide a unique environment for studying magnetospheric reconnection that can be created in the laboratory. These ion-scale magnetospheres have also been observed around comets, weakly-magnetized asteroids, and localized regions on the Moon.
A novel high-repetition-rate experimental platform has been developed on the Large Plasma Device at UCLA to study these inherently three-dimensional objects. A laser-driven plasma flow expands into a pulsed dipole magnet embedded in an externally magnetized ambient plasma. All elements of the experiments -- including the laser, magnet, and diagnostics -- fire every second, allowing detailed 3D maps of magnetospheric structure to be obtained. Particle-in-cell simulations help bridge the gap between these small (cm-scale) laboratory magnetospheres and those observed in space.
L. Rovige, et al. "Laboratory Study of Magnetic Reconnection in Lunar-relevant Mini-magnetospheres," The Astrophysical Journal 969, 124 (2024).
F.D. Cruz, et al. “Strong collisionless coupling between an unmagnetized driver plasma and a magnetized background plasma,” Physics of Plasmas 30, 052901 (2023).
D. B. Schaeffer, et al. "Laser-driven, ion-scale magetnospheres in laboratory plasmas. I. Experimental platform and first results," Physics of Plasmas 29, 042901 (2022).
F. D. Cruz, et al. "Laser-driven, ion-scale magetnospheres in laboratory plasmas. II. Particle-in-cell simulations," Physics of Plasmas 29, 032902 (2022).
Diagram illustrting main components of proton imaging [Schaeffer+ RMP 2023].
The very small (~1 millimeter) and fast (~1 nanosecond) scales of typical HED experiments require novel diagnostics to measure plasma properties. Physical probes such as magnetic flux ("b-dot") or Langmuir probes are either too perturbative to the small plasma scales or cannot survive the harsh plasma conditions. Instead, HED diagnsotics rely on active probing with laser light or particles, or passive probing through self-emisison of light and energetic particles. We are developing a range of advanced HED diagnostics, including optical Thomson scattering for non-Maxwellian plasmas, proton imaging to measure intense electromagnetic fields, and x-ray imaging to measure plasma evolution and properties.
J. Griff-McMahon, et al. "Proton radiography inversions with source extraction and comparison to mesh methods," Physics Review E 110, 055202 (2024).
V. Valenzuela-Villaseca, et al. "X-ray imaging and electron temperature evolution in laser-driven magnetic reconnection experiments at the National Ignition Facility," Physics of Plasmas 31, 082106 (2024).
W. Fox, et al. "Proton deflectometry analysis in magnetized plasmas: Magnetic field reconstruction in one dimension," Physical Review E 110, 015206 (2024).
D.B. Schaeffer, et al. "Proton imaging of high-energy-density laboratory plasmas," Reviews of Modern Physics 95, 045007 (2023).
B. Foo, et al. "Recovering non-Maxwellian particle velocity distribution functions from collective Thomson-scattered spectra," AIP Advances 13, 115328 (2023).
D. B. Schaeffer, et al. "Measurements of electron temperature in high-energy-density plasmas using gated x-ray pinhole imaging," Review of Scientific Instruments 92, 043524 (2021).
Most astrophysical magnetic reconnection occurs in the large-scale, low-dissipation regime (characterized by a large dimensionless Lundquist number), in which the global reconnection current sheet is predicted to break up into a complex and turbulent region where reconnection occurs between many magnetic-island or “plasmoid” structures. Of particular interest are the mechanisms that drive reconnection in this regime and how efficiently particles are accelerated.
To study these questions in the lab, large system sizes and high-energy lasers are required, such as those on the National Ignition Facility (NIF) at Lawrence Livermore National Lab. In these experiments, laser beams are focused onto two spots on a thin foil. Each spot creates a large expanding plasma embedded with a self-generated magnetic field through the Biermann battery mechanism. As the two plasmas collide, the oppositely-directed magnetic fields can reconnect, heating and energizing the plasma. The field structures are measured with diagnostics such as proton deflectometry, and modeled with large 3D PIC simulations.
Proton image from a NIF experiment, showing the formation of large extended magnetic field structures and reconnection current sheet.
W. Fox, et al. "Fast magnetic reconnection in highly-extended current sheets at the National Ignition Facility," arXiv:2003.06351.
J. Griff-McMahon, et al. "Measurements of Extended Magnetic Fields in Laser-Solid Interaction," accepted to Physical Review X, arXiv:2310.18592 (2024).
G. Fiksel, et al. "Electron energization during merging of self-magnetized, high-beta, laser-produced plasmas," Journal of Plasma Physics 87, 905870411 (2021).
J. Matteucci, et al. "Biermann-Battery-Mediated Magnetic Reconnection in 3D Colliding Plasmas," Physical Review Letters 121, 095001 (2018).
W. Fox, et al. "Kinetic simulation of magnetic field generation and collisionless shock formation in expanding laboratory plasmas," Physics of Plasmas 25, 102106 (2018).
Anomalously fast diffusion of plasma across magnetic fields has long been recognized in magnetic fusion devices and laser plasmas. Micro-instabilities driven by gradients in plasma parameters give rise to convective flow patterns on meso to global scales, which leads to correspondingly enhanced diffusion coefficients. Alternative mechanisms such as the Nernst effect can similarly drive magnetic field transport. While anomalous transport has been demonstrated in many HED plasma experiments, it is especially relevant to magnetized ICF schemes such as MagLIF, where this physics is not typically included in MHD design codes.
S. Malko, et al. "Observation of a magneto-Rayleigh-Taylor instability in magnetically collimated plasma jets," Physical Review Research 6, 023330 (2024).
Schematic of the experimental setup to study magnetized transport on the OMEGA60.
In my free time, I develop a comprehensive software suite to run a high-energy laser facility. The software integrates laser components, pulsed power, diagnostics, environmental sensors, and safety interlocks to allow safe, efficient, automated, and remote operation of the lasers and experiments. The entire software stack is written in LabVIEW using an object-oriented dynamic plugin architecture. A hardware abstraction layer allows hundreds of instruments and sensors to be accessed from any networked computer in the lab, with easy drop-in capability for new instrument models or classes. For whimsy, the interface is thematically modeled after Star Trek.
Pulsed power control and monitoring software for the Phoenix Laser Laboratory.