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Harmonic Generation and Inverse Cascade in the z-Pinch Driven, Preseeded Multimode, Magneto-Rayleigh-Taylor Instability

Journal Article · · Physical Review Letters

We report the magneto-Rayleigh-Taylor instability (MRTI) plays an essential role in astrophysical systems and in magneto-inertial fusion, where it is known to be an important degradation mechanism of confinement and target performance. In this Letter, we show for the first time experimental evidence of mode mixing and the onset of an inverse-cascade process resulting from the nonlinear coupling of two discrete preseeded axial modes (400- and 550 - μm wavelengths) on an Al liner that is magnetically imploded using the 20-MA, 100-ns rise-time Z Machine at Sandia National Laboratories. Four radiographs captured the temporal evolution of the MRTI. We introduce a novel unfold technique to analyze the experimental radiographs and compare the results to simulations and to a weakly nonlinear model. We find good quantitative agreement with simulations using the radiation magnetohydrodynamics code hydra. Spectral analysis of the MRTI time evolution obtained from the simulations shows evidence of harmonic generation, mode coupling, and the onset of an inverse-cascade process. The experiments provide a benchmark for future work on the MRTI and motivate the development of new analytical theories to better understand this instability.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
NA0003525
OSTI ID:
1872030
Report Number(s):
SAND2022-6835J; 706586
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 25 Vol. 128; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (45)

Three-dimensional Rayleigh-Taylor instability Part 1. Weakly nonlinear theory journal February 1988
Filamentary structure on the Sun from the magnetic Rayleigh–Taylor instability journal March 2005
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field journal January 1962
2–20ns interframe time 2-frame 6.151keV x-ray imaging on the recently upgraded Z Accelerator: A progress report journal October 2008
Thermal instability during an electrical wire explosion journal September 2008
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field journal May 2010
Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners journal May 2011
Magneto-Rayleigh-Taylor experiments on a MegaAmpere linear transformer driver journal March 2012
Electrothermal instability growth in magnetically driven pulsed power liners journal September 2012
Simulations of electrothermal instability growth in solid aluminum rods journal May 2013
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion journal May 2013
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field journal May 2014
Design of magnetized liner inertial fusion experiments using the Z facility journal July 2014
Coupling of sausage, kink, and magneto-Rayleigh-Taylor instabilities in a cylindrical liner journal March 2015
Bell-Plesset effects in Rayleigh-Taylor instability of finite-thickness spherical and cylindrical shells journal December 2015
Discrete helical modes in imploding and exploding cylindrical, magnetized liners journal December 2016
Direct measurement of the inertial confinement time in a magnetically driven implosion journal April 2017
Energy transfer in compressible magnetohydrodynamic turbulence journal September 2017
Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch journal May 2018
Diagnosing and mitigating laser preheat induced mix in MagLIF journal November 2018
On a variational formulation of the weakly nonlinear magnetic Rayleigh–Taylor instability journal February 2020
Use of hydrodynamic theory to estimate electrical current redistribution in metals journal May 2020
A new quotidian equation of state (QEOS) for hot dense matter journal January 1988
A weakly nonlinear theory for the dynamical Rayleigh–Taylor instability journal July 1998
Three‐dimensional simulations of Nova high growth factor capsule implosion experiments journal May 1996
Computational investigation of single mode vs multimode Rayleigh–Taylor seeding in Z-pinch implosions journal December 1998
Review of pulsed power-driven high energy density physics research on Z at Sandia journal July 2020
Scaling laser preheat for MagLIF with the Z-Beamlet laser journal January 2021
Seeding the explosion of a high-current-density conductor in a controlled manner through the addition of micron-scale surface defects journal July 2021
WFPC2 Studies of the Crab Nebula. III. Magnetic Rayleigh-Taylor Instabilities and the Origin of the Filaments journal January 1996
The Magnetic Rayleigh‐Taylor Instability in Three Dimensions journal December 2007
Numerical Simulations of the Magnetic Rayleigh-Taylor Instability in the Kippenhahn-SchlÜTer Prominence Model. i. Formation of Upflows journal January 2012
Taylor Instability of the Interface between Superposed Fluids -Solution by Successive Approximations journal October 1954
Fast z-pinches as dense plasma, intense x-ray sources for plasma physics and fusion applications journal January 1999
An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories journal February 2022
Rayleigh–Taylor instability in magnetohydrodynamic simulations of the Crab nebula journal July 2014
On the nature of the magnetic Rayleigh–Taylor instability in astrophysical plasma: the case of uniform magnetic field strength journal July 2016
Measurements of Magneto-Rayleigh-Taylor Instability Growth during the Implosion of Initially Solid Al Tubes Driven by the 20-MA, 100-ns Z Facility journal October 2010
Observations of Modified Three-Dimensional Instability Structure for Imploding z -Pinch Liners that are Premagnetized with an Axial Field journal December 2013
Electrothermal Instability Mitigation by Using Thick Dielectric Coatings on Magnetically Imploded Conductors journal April 2014
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion journal October 2014
Experimental Demonstration of the Stabilizing Effect of Dielectric Coatings on Magnetically Accelerated Imploding Metallic Liners journal February 2016
Performance Scaling in Magnetized Liner Inertial Fusion Experiments journal October 2020
The physics of fast Z pinches journal January 2000
Constrained least-squares spectral analysis: Application to seismic data journal September 2012