Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Parameterized anomalous transport model for current-carrying collisionless plasmas in pulsed power inertial confinement fusion

Journal Article · · Physics of Plasmas
DOI: https://doi.org/10.1063/5.0278612 · OSTI ID:2587719
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
+ Show Author Affiliations

Current delivery in pulsed power inertial confinement fusion is influenced by collisionless current-carrying microturbulent plasmas, which are sourced from electrode surfaces. In this setting, the lower hybrid drift instability—triggered by plasma acceleration—is a leading candidate driver of difficult-to-predict momentum and energy transport. To characterize the nonlinear state of the microturbulent plasma, a parameterized anomalous transport model is developed for the instability, with analytic formulas for anomalous collision frequency, resistivity, and species heating rates. The formulas are expressed in terms of linear-theory variables and four dimensionless parameters that characterize the macroscopic plasma state. The model is built on linear theory analysis, power law analysis, and quasilinear theory analysis, and is validated using a series of nonlinear continuum kinetic Vlasov–Poisson simulations. The theoretical and computational investigation demonstrates that the anomalous collision frequency associated with the instability can be reliably approximated, within about a factor of five or better, by the unscaled linear theory growth rate of the fastest-growing wavenumber mode. This finding enables efficient calculation of anomalous resistivity and species heating rates over a wide range of plasma conditions, resulting in improved predictive capabilities.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
2587719
Report Number(s):
LLNL--JRNL-2005369
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 32; ISSN 1070-664X; ISSN 1089-7674
Publisher:
AIP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (31)

Vlasov Code Simulation of Anomalous Resistivity journal November 2005
Dory–Guest–Harris instability as a benchmark for continuum kinetic Vlasov–Poisson simulations of magnetized plasmas journal November 2014
Conservative fourth-order finite-volume Vlasov–Poisson solver for axisymmetric plasmas in cylindrical (r,v,v) phase space coordinates journal November 2018
Accelerating high-order continuum kinetic plasma simulations using multiple GPUs journal November 2025
A tutorial introduction to the statistical theory of turbulent plasmas, a half-century after Kadomtsev’s Plasma Turbulence and the resonance-broadening theory of Dupree and Weinstock journal September 2015
Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces journal January 1997
Short-wavelength modes on expanding plasma clouds journal January 1988
Scaling laws for dynamical plasma phenomena journal October 2018
Customizable two-species kinetic equilibria for nonuniform low-beta plasmas journal April 2019
Development of flute modes on expanding plasma clouds journal September 1989
Anomalous transport properties associated with the lower-hybrid-drift instability journal January 1975
Quasi-linear stabilization of lower-hybrid-drift instability journal January 1978
Kinetic simulations of anomalous resistivity in high-temperature current carrying plasmas journal September 2020
Review of pulsed power-driven high energy density physics research on Z at Sandia journal July 2020
Two-fluid and kinetic transport physics of Kelvin–Helmholtz instabilities in nonuniform low-beta plasmas journal October 2020
The role of noise in PIC and Vlasov simulations of the Buneman instability journal December 2021
On the validity of quasilinear theory applied to the electron bump-on-tail instability journal April 2022
A fiber-coupled dispersion interferometer for density measurements of pulsed power transmission line electron sheaths on Sandia’s Z machine journal November 2022
The electron cyclotron drift instability: A comparison of particle-in-cell and continuum Vlasov simulations journal March 2023
Current loss experiments of a conical MITL and PHC system on a megaampere-class LTD module journal September 2024
Resonant excitation of the ion-acoustic mode and suppression of the anomalous current in the nonlinear evolution of the ECDI journal June 2025
Scaling laws for plasma confinement journal October 1977
Basic scalings for collisionless-shock experiments in a plasma without pre-imposed magnetic field journal September 2012
An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories journal February 2022
Experimental study of current loss and plasma formation in the Z machine post-hole convolute journal January 2017
Complete quasilinear model for the acceleration-driven lower hybrid drift instability and a computational assessment of its validity journal August 2024
Conceptual designs of two petawatt-class pulsed-power accelerators for high-energy-density-physics experiments journal November 2015
The physics of fast Z pinches journal January 2000
Pulsed-Power Innovations for Next-Generation, High-Current Drivers journal September 2022
Characterization of power delivery and losses in a long coaxial inner MITL report July 2024
Comparison of Saturation Rules Used for Gyrokinetic Quasilinear Transport Modeling journal October 2023

Figures / Tables (20)

FIGURE 5(p. 9)figure FIGURE 5
FIGURE 4(p. 8)figure FIGURE 4
FIGURE 3(p. 7)figure FIGURE 3
FIGURE 2(p. 6)figure FIGURE 2
FIGURE 1(p. 6)figure FIGURE 1
Fig. 1(p. 2)figure Fig. 1
Figure 2(p. 32)figure Figure 2
Fig. 8(p. 5)figure Fig. 8
Fig. 7(p. 4)figure Fig. 7
Figure 5(p. 21)figure Figure 5
Table 3(p. 10)table Table 3
Table II(p. 27)table Table II
Table 11(p. 18)table Table 11
Figure 3(p. 33)figure Figure 3
Table I(p. 26)table Table I
Fig. 9(p. 5)figure Fig. 9
Table 4(p. 11)table Table 4
Table IV(p. 29)table Table IV
Table III(p. 28)table Table III
Fig. 5(p. 3)figure Fig. 5

Similar Records

Influence of microturbulence on early time HANE structure. Memorandum report
Technical Report · Mon Apr 30 04:00:00 UTC 1984 · OSTI ID:6495871
A Perturbative Solution for Nonlinear Stratified Upwelling over a Frictional Slope
Journal Article · Sun Oct 01 04:00:00 UTC 2023 · Journal of Physical Oceanography · OSTI ID:2580152
Institute for fusion studies
Conference · Fri Jan 01 04:00:00 UTC 1982 · OSTI ID:5257840

Related Subjects

Complex functions
Computer simulation
Plasma acceleration
Plasma instabilities
Plasma kinetic theory
Plasma transport properties
Plasma waves
Quasilinear theory
Vlasov equation