Magnetic Field Generation by the Rayleigh-Taylor Instability in Laser-Driven Planar Plastic Targets

Gao, Lan; Nilson, P.M.; Igumenschev, I. V.; Hu, S. X.; Davies, J. R.; Stoeckl, C.; Haines, M. G.; Froula, D. H.; Betti, R.; Meyerhofer, D. D.

doi:10.1103/physrevlett.109.115001

Cited by 51 publications

(46 citation statements)

References 27 publications

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“…Maximal field strengths up to 2 MG were inferred from path-integrated measurements. Gao et al [27] also considered a 25 µm thick foil and found sub-MG fields; the foil stayed unbroken, suggesting that the fastest field growth was attained in the late, highly nonlinear stage of RTI.…”

Section: Comparison With Previously Published Experimental and Theorementioning

confidence: 99%

“…The target proposed by Nishiguchi is thinner and is continuously driven by a much stronger laser source. The laser intensity used by Nishiguchi was a constant 2 × 10 15 W cm −2 , while the laser drives used in experiments were weaker and lasted only for a short amount of time (9 × 10 14 W cm −2 for 1 ns in [1]; 4 × 10 14 for 2 ns in [3,27]). Although [2] does not provide the effective acceleration value, assuming a 2 MG magnetic field and a few micron thick interface, we can use the results shown in his Fig.…”

Section: /2mentioning

confidence: 99%

“…Nishiguchi also noted that an additional mode was growing at the interface and claimed conduction responsible for this new flow feature. Generated magnetic fields in megagauss range were obtained in simulations by several groups Nishiguchi [2], Mima et al [26]; comparable field level was observed recently in experiments Manuel et al [3], Gao et al [27].…”

Section: Introductionmentioning

confidence: 99%

“…(We estimate the characteristic RTI growth rate in our conducting model with self-magnetization to be about 0.14 ns −1 compared to 2.2 ns −1 obtained in the Manuel et al experiment.) Indeed, Gao et al [27] reported that the foil remnants had a velocity of (3 ± 1) × 10 7 cm s −1 at t = 2.56 ns, implying average acceleration of ≈ 10 16 cm s −2 . This acceleration is nearly 2 orders of magnitude larger than the acceleration adopted in our study (g = 2 × 10 14 cm s −2 ), which is representative of the Kuranz et al experiment.…”

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confidence: 99%

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The Braginskii model of the Rayleigh–Taylor instability. I. Effects of self-generated magnetic fields and thermal conduction in two dimensions

Modica

Plewa

Жигло

2013

High Energy Density Physics

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There exists a substantial disagreement between computer simulation results and high-energy density laboratory experiments of the Rayleigh-Taylor instability [1]. Motivated by the observed discrepancies in morphology and growth rates, we attempt to bring simulations and experiments into better agreement by extending the classic purely hydrodynamic model to include self-generation of magnetic fields and anisotropic thermal conduction.We adopt the Braginskii formulation for transport in hot, dense plasma, implement and verify the additional physics modules, and conduct a computational study of a single-mode RTI in two dimensions with various combinations of the newly implemented modules. We analyze physics effects on the RTI mixing and flow morphology, the effects of mutual physics interactions, and the evolution of magnetic fields.We find that magnetic fields reach levels on the order of 11 MG (plasma β ≈ 9.1 × 10 −2 ) in the absence of thermal conduction. These fields do not affect the growth of the mixed layer but substantially modify its internal structure on smaller scales. In particular, we observe denting of the RT spike tip and generation of additional higher order modes as a result of these fields. Contrary to interpretation presented in earlier work [2], the additional mode is not generated due to modified anisotropic heat transport effects but due to dynamical effect of self-generated magnetic fields. The overall flow morphology in self-magnetized, non-conducting models is qualitatively different from models with a pre-existing uniform field oriented perpendicular to the interface. This puts the usefulness of simple MHD models for interpreting the evolution of self-magnetizing HED systems with zero-field initial conditions into doubt.The main effects of thermal conduction are a reduction of the RT instability growth rate (by about 20% for conditions considered here) and inhibited mixing on small scales. In this case, the maximum self-generated magnetic fields are weaker (approximately 1.7 MG; plasma β ≈ 49). This is due to reduction of temperature and density gradients due to conduction. These selfgenerated magnetic fields are of very similar strength compared to magnetic fields observed recently in HED laboratory experiments [3].We find that thermal conduction plays the dominant role in the evolution of the model RTI system considered. It smears out small-scale structure and reduces the RTI growth rate. This may account for the relatively featureless RT spikes seen in experiments, but does not explain mass extensions observed in experiments.Resistivity and related heat source terms were not included in the present work, but we estimate 1 arXiv:1308.4948v1 [physics.plasm-ph] 22 Aug 2013 their impact on RTI as modest and not affecting our main conclusions. Resistive effects will be discussed in detail in the next paper in the series.

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Section: Comparison With Previously Published Experimental and Theorementioning

confidence: 99%

Section: /2mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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The Braginskii model of the Rayleigh–Taylor instability. I. Effects of self-generated magnetic fields and thermal conduction in two dimensions

Modica

Plewa

Жигло

2013

High Energy Density Physics

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“…These fields strongly affect electron transport by suppressing the cross-field thermal conductivity (Braginskii 1965) and are thus key to understanding a range of laser-plasma interactions, including ongoing efforts to achieve controlled inertial confinement fusion (Glenzer et al 1999;Lindl et al 2004;Nilson et al 2006;Froula et al 2007;Li et al 2007a,b;Schurtz et al 2007;Froula et al 2009;Li et al 2009Li et al , 2013. Of special importance in such contexts is the role transport effects might play in driving instabilities, especially given that such instabilities are themselves often candidate mechanisms for producing the self-generated field (Weibel 1959;Tidman & Shanny 1974;Bol'shov et al 1974;Ogasawara et al 1980;Haines 1981;Bissell et al 2010Bissell et al , 2012Gao et al 2012;Manuel et al 2013).…”

Section: Introductionmentioning

confidence: 99%

Nernst advection and the field-generating thermal instability revisited

Bissell

2014

J. Plasma Phys.

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. It is widely held that the Nernst effect can drive instability in un-magnetised laserplasmas by laterally compressing seed B-fields arising from the field-generating thermal instability [Tidman & Shanny, Phys. Fluids, 12:1207]. Indeed, for wavelike perturbations, differential compression by the Nernst mechanism is thought to be most pronounced in the limit of low wave-number k → 0, and is considered particularly important given that it can ostensibly lead to instability when the more usual field-generating mechanism is stable. However, as part of a recent article [Bissell et al., New J. Phys., 15:025017 (2013)] we noted some irregularities to the Nernst mechanism which obscure its operation. For example, by taking characteristic density and temperature length-scales l n and l T respectively, we observed that consistent analytical treatment of the instability requires kl n,T 1, preventing the peak-growth limit k → 0. Furthermore, the Nernst term-which compresses magnetic field perturbations-does not couple to a corresponding term acting on thermal perturbations, and as such does not describe an unstable feedback mechanism. In this article we probe the origin of such ambiguities more formally, and in so doing argue (contrary to reports existing elsewhere in the literature) that the Nernst effect does not drive instability in un-magnetised conditions, at least not in the fashion typically cited.PACS codes: Authors should not enter PACS codes directly on the manuscript, as these must be chosen during the online submission process and will then be added during the typesetting process (see http://www.aip.org/pacs/ for the full list of PACS codes)

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Laboratory Experiments Scaled to Solar and Space Plasmas

Ryutova

2018

Physics of Magnetic Flux Tubes

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Magnetic Field Generation by the Rayleigh-Taylor Instability in Laser-Driven Planar Plastic Targets

Cited by 51 publications

References 27 publications

The Braginskii model of the Rayleigh–Taylor instability. I. Effects of self-generated magnetic fields and thermal conduction in two dimensions

The Braginskii model of the Rayleigh–Taylor instability. I. Effects of self-generated magnetic fields and thermal conduction in two dimensions

Nernst advection and the field-generating thermal instability revisited

Laboratory Experiments Scaled to Solar and Space Plasmas

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