2D MHD computer modeling of dense plasma focus accelerators

Esaulov, A. A.; Makhin, V.; Bauer, Bruno; Siemon, R. E.; Sotnikov, V. I.; Paraschiv, I.; Presura, R.; Freeman, B.L.; Hagen, E. C.; Ziegler, L. H.; Lindemuth, I.R.; Sheehey, P.T.

doi:10.1109/ppc.2003.1277665

Cited by 3 publications

(8 citation statements)

References 3 publications

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“…the analytical perturbation imposed in (2.2). Vector field superposition in this Z = 10 cm plane is plotted in figure 5( f ), showing the magnitude of the twist applied to the fan-spine topology from an approximated CPG discharge, which is consistent with ≈1 T magnetic fields internal to the plasma sheath in robust MHD models (Esaulov et al 2003(Esaulov et al , 2004. A full description of the superposition of these fields would require a full 2-D or 3-D MHD or kinetic simulation where the background fan-spine topology is threaded within the initial plasma formation and evolution.…”

Section: Plasma Scaling Parametersmentioning

confidence: 53%

“…By using resistive MHD models (Wyper & Jain 2010, 2011, the quantitative evidence of torsional reconnection-based particle acceleration provided here suggests that a new generation of laboratory experiments may be feasible. A confined injection of helium ions, derived from the snowplough model of CPGs (Lindberg & Jacobsen 1961;Larson et al 1966;Heo & Park 2002;Esaulov et al 2003Esaulov et al , 2004Bures, Krishnan & James 2012;Mitrofanov et al 2014;Caballero Bendixsen et al 2016), results in impulsive particle acceleration from 10 eV to ≈2 keV kinetic energy profiles into a focused and accelerated plasma structure ≈16 cm in length (figures 9 and 10), indicating the formation of a jet. These results are significant because if such particle acceleration and dynamics could be replicated in a laboratory setting, a much more intimate understanding of the physics of 3-D modes of magnetic reconnection would emerge.…”

Section: Discussionmentioning

confidence: 99%

“…First, laboratory-generated MHD plasmas that feature the azimuthal magnetic field profile required for torsional reconnection (Chesny et al 2017) are highly constrained in energy-momentum space (e.g. Larson et al 1966;Scheuer et al 1994;Thio et al 2002;Esaulov et al 2003Esaulov et al , 2004Gonzalez et al 2004;Krishnan 2012;Caballero Bendixsen et al 2016). Second, in this design of experimentally induced reconnection, the perturbation to the potential 3-D null point field is inherently confined within the localized, in situ plasma volume.…”

Section: Discussionmentioning

confidence: 99%

“…In terms of laboratory infrastructure, the injection and acceleration of the plasma sheath will likely strongly depend on the geometric radial-to-axial aspect ratio of CPG devices (e.g. Larson et al 1966;Schaer 1994;Scheuer et al 1994;Thio et al 2002;Witherspoon et al 2009), including the form of the plasma formation surface (Esaulov et al 2003(Esaulov et al , 2004. The plasma sheath following the general snowplough model of particle injection (Lee 1983;Lee & Serban 1996;Gonzalez et al 2004;Tang et al 2010) is a first approximation, and more accurate representations of the sheath geometry will further inform experimental design using simulations such as the ones presented here.…”

Section: Discussionmentioning

confidence: 99%

“…Here, we describe the general process of CPG plasma sheath generation for argument purposes only, as it is well documented in literature. A high voltage capacitor bank discharge ionizes the gas in-between the CPG electrodes, thus forming a plasma sheath at the insulating base (Esaulov et al 2003). This plasma current density and the azimuthal magnetic field of the CPG generate a J × B force so the plasma sheath lifts off of the insulator and propagates down the electrode axis (e.g.…”

Section: Plasma Scaling Parametersmentioning

confidence: 99%

See 4 more Smart Citations

Test particle acceleration in resistive torsional fan magnetic reconnection using laboratory plasma parameters

Chesny¹,

Orange

Hatfield

2021

J. Plasma Phys.

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Particle acceleration via magnetic reconnection is a fundamental process in astrophysical plasmas. Experimental architectures are able to confirm a wide variety of particle dynamics following the two-dimensional Sweet–Parker model, but are limited in their reproduction of the fan-spine magnetic field topology about three-dimensional (3-D) null points. Specifically, there is not yet an experiment featuring driven 3-D torsional magnetic reconnection. To move in this direction, this paper expands on recent work toward the design of an experimental infrastructure for inducing 3-D torsional fan reconnection by predicting feasible particle acceleration profiles. Solutions to the steady-state, kinematic, resistive magnetohydrodynamic equations are used to numerically calculate particle trajectories from a localized resistivity profile using well-understood laboratory plasma parameters. We confine a thin, 10 eV helium sheath following the snowplough model into the region of this localized resistivity and find that it is accelerated to energies of ${\approx }2$ keV. This sheath is rapidly accelerated and focused along the spine axis propagating a few centimetres from the reconnection region. These dynamics suggest a novel architecture that may hold promise for future experiments studying solar coronal particle acceleration and for technology applications such as spacecraft propulsion.

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Section: Plasma Scaling Parametersmentioning

confidence: 53%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Plasma Scaling Parametersmentioning

confidence: 99%

See 3 more Smart Citations

Test particle acceleration in resistive torsional fan magnetic reconnection using laboratory plasma parameters

Chesny¹,

Orange

Hatfield

2021

J. Plasma Phys.

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Bdot probe and Rogowski coil cross-calibration and sensor fusion in pulsed direct current capacitor discharges

Moffett

Chesny²,

Cole

et al. 2022

Review of Scientific Instruments

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Bdot probes and Rogowski coils are used in the measurement of transient magnetic fields and currents, respectively. They both share the mechanism of creating an induced electromotive force response via Faraday’s law, which scales linearly with the pulsed magnetic field. High power capacitor direct current (DC) discharge systems release a single pulse of current that is both very high and very fast (≲1 ms). To capture these transient data and characterize these systems, high current tolerant and fast response time sensors are required. While these measuring devices have been well studied and utilized for almost 100 years, a comprehensive and detailed description of the custom design, calibration, and sensor fusion application of these tools for use in various pulsed DC capacitor value discharges is largely missing in the literature. Using robust analytical calculations, finite element analyses, and empirical methods, we have developed a sensor fusion protocol for current and magnetic field probes (with relative errors of ±13% and ±15%, respectively) for use in any geometry of high speed pulsed DC current calibrated capacitor discharge systems. This paper comprehensively outlines the design and sensor fusion methodologies that allow for the deployment of in-house built Bdot probes and Rogowski coils to a wide range of pulsed DC systems and demonstrates their use in a characteristic plasma environment.

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An improved radiative plasma focus model calibrated for neon-filled NX2 using a tapered anode

Wong¹,

Lee²,

Zhang³

et al. 2006

Plasma Sources Sci. Technol.

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This paper presents a 4-phase radiative plasma focus model, where the dynamics of the current sheath is represented using Lee's model. The model is based on the snowplow model in the axial phase and the slug model in the radial phase, complemented with sensible estimations made for the plasma parameters. The x-ray emission characteristics are investigated using a corona plasma equilibrium model. A refinement to the code was made, firstly by taking into account the tapering of the anode in the axial phase and secondly by including the energy loss due to recombination radiation in the slow compression (radiative) phase. Our improved code was calibrated for the NX2, a 3 kJ plasma focus device, operated in neon at a pressure range of 4-7 mbar with a tapered copper anode. An additional macro was programmed to the code in order to automate the curve fitting of the simulated current traces with those obtained experimentally. The resulting theoretical x-ray yield predictions are compared against experimental data, showing good agreement in terms of pressure dependence trends. The model, however, appears to consistently underestimate the absolute x-ray yield when compared with the experimentally obtained values.

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2D MHD computer modeling of dense plasma focus accelerators

Cited by 3 publications

References 3 publications

Test particle acceleration in resistive torsional fan magnetic reconnection using laboratory plasma parameters

Test particle acceleration in resistive torsional fan magnetic reconnection using laboratory plasma parameters

Bdot probe and Rogowski coil cross-calibration and sensor fusion in pulsed direct current capacitor discharges

An improved radiative plasma focus model calibrated for neon-filled NX2 using a tapered anode

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