Turbulent stagnation in a Z-pinch plasma

Kroupp, E.; Stambulchik, Evgeny; Starobinets, A.; Osin, D.; Fisher, V. I.; Alumot, D.; Maron, Y.; Davidovits, S.; Fisch, N. J.; Fruchtman, A.

doi:10.1103/PhysRevE.97.013202

Title: Turbulent stagnation in a $Z$ -pinch plasma

Journal Article · Tue Jan 16 00:00:00 EST 2018 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.97.013202· OSTI ID:1467032

Kroupp, E. ^[1]; Stambulchik, Evgeny ^[1]; Starobinets, A. ^[1]; Osin, D. ^[2]; Fisher, V. I. ^[1]; Alumot, D. ^[3]; Maron, Y. ^[1]; Davidovits, S. ^[4]; Fisch, N. J. ^[4]; Fruchtman, A. ^[5]

Weizmann Institute of Science, Rehovot (Israel)
Weizmann Institute of Science, Rehovot (Israel); Tri Alpha Energy Inc., Foothill Ranch, CA (United States)
Weizmann Institute of Science, Rehovot (Israel); Applied Materials, Rehovot (Israel)
Princeton Univ., Princeton, NJ (United States)
H.I.T. - Holon Institute of Technology, Holon (Israel)

The ion kinetic energy in a stagnating plasma was previously determined by Kroupp et al. [Phys. Rev. Lett.107, 105001 (2011)] from Doppler-dominated line shapes augmented by measurements of plasma properties and assuming a uniform-plasma model. Notably, the energy was found to be dominantly stored in hydrodynamic flow. Here we advance a new description of this stagnation as supersonically turbulent. Such turbulence implies a nonuniform density distribution. Here, we demonstrate how to reanalyze the spectroscopic data consistent with the turbulent picture and show that this leads to better concordance of the overconstrained spectroscopic measurements, while also substantially lowering the inferred mean density.

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Research Organization:: Cornell Univ., Ithaca, NY (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003764; NA0001836; 67350-9960

OSTI ID:: 1467032

Alternate ID(s):: OSTI ID: 1417064

Journal Information:: Physical Review E, Vol. 97, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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References (43)

Algorithmic comparisons of decaying, isothermal, supersonic turbulence Kitsionas, S.; Federrath, C.; Klessen, R. S. Astronomy & Astrophysics, Vol. 508, Issue 1 https://doi.org/10.1051/0004-6361/200811170	journal	October 2009
A new Density Variance–Mach Number Relation for Subsonic and Supersonic Isothermal Turbulence Konstandin, L.; Girichidis, P.; Federrath, C. The Astrophysical Journal, Vol. 761, Issue 2 https://doi.org/10.1088/0004-637X/761/2/149	journal	December 2012
A model for (non-lognormal) density distributions in isothermal turbulence Hopkins, Philip F. Monthly Notices of the Royal Astronomical Society, Vol. 430, Issue 3 https://doi.org/10.1093/mnras/stt010	journal	February 2013
The Stellar Initial Mass Function from Turbulent Fragmentation Padoan, Paolo; Nordlund, Ake The Astrophysical Journal, Vol. 576, Issue 2 https://doi.org/10.1086/341790	journal	September 2002
Effective versus ion thermal temperatures in the Weizmann Ne Z-pinch: Modeling and stagnation physics Giuliani, J. L.; Thornhill, J. W.; Kroupp, E. Physics of Plasmas, Vol. 21, Issue 3 https://doi.org/10.1063/1.4865223	journal	March 2014
Density, Velocity, and Magnetic Field Structure in Turbulent Molecular Cloud Models Ostriker, Eve C.; Stone, James M.; Gammie, Charles F. The Astrophysical Journal, Vol. 546, Issue 2 https://doi.org/10.1086/318290	journal	January 2001
Variations in Stellar Clustering with Environment: Dispersed Star Formation and the Origin of Faint Fuzzies Elmegreen, Bruce G. The Astrophysical Journal, Vol. 672, Issue 2 https://doi.org/10.1086/523791	journal	January 2008
Mach number study of supersonic turbulence: the properties of the density field Konstandin, L.; Schmidt, W.; Girichidis, P. Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 4 https://doi.org/10.1093/mnras/stw1313	journal	June 2016
Line shapes in turbulent plasmas Stamm, Roland; Hannachi, Ibtissem; Meireni, Mutia The European Physical Journal D, Vol. 71, Issue 3 https://doi.org/10.1140/epjd/e2017-70737-2	journal	March 2017
A Lower Bound on Adiabatic Heating of Compressed Turbulence for Simulation and Model Validation Davidovits, Seth; Fisch, Nathaniel J. The Astrophysical Journal, Vol. 838, Issue 2 https://doi.org/10.3847/1538-4357/aa619f	journal	March 2017
Kinetic Energy Decay Rates of Supersonic and Super-Alfvénic Turbulence in Star-Forming Clouds Mac Low, Mordecai-Mark; Klessen, Ralf S.; Burkert, Andreas Physical Review Letters, Vol. 80, Issue 13 https://doi.org/10.1103/PhysRevLett.80.2754	journal	March 1998
Pressure and Energy Balance of Stagnating Plasmas in $z$ -Pinch Experiments: Implications to Current Flow at Stagnation Maron, Y.; Starobinets, A.; Fisher, V. I. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.035001	journal	July 2013
Preface: Radiation from high energy density plasmas Giuliani, John L.; Safronova, Alla S. Physics of Plasmas, Vol. 23, Issue 10 https://doi.org/10.1063/1.4965246	journal	October 2016
The density structure and star formation rate of non-isothermal polytropic turbulence Federrath, Christoph; Banerjee, Supratik Monthly Notices of the Royal Astronomical Society, Vol. 448, Issue 4 https://doi.org/10.1093/mnras/stv180	journal	March 2015
Compressing turbulence and sudden viscous dissipation with compression-dependent ionization state Davidovits, Seth; Fisch, Nathaniel J. Physical Review E, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevE.94.053206	journal	November 2016
Adiabatic Heating of Contracting Turbulent Fluids Robertson, Brant; Goldreich, Peter The Astrophysical Journal, Vol. 750, Issue 2 https://doi.org/10.1088/2041-8205/750/2/L31	journal	April 2012
Density probability distribution in one-dimensional polytropic gas dynamics Passot, Thierry; Vázquez-Semadeni, Enrique Physical Review E, Vol. 58, Issue 4 https://doi.org/10.1103/PhysRevE.58.4501	journal	October 1998
A method for reconstructing the variance of a 3D physical field from 2D observations: application to turbulence in the interstellar medium Brunt, C. M.; Federrath, C.; Price, D. J. Monthly Notices of the Royal Astronomical Society, Vol. 403, Issue 3 https://doi.org/10.1111/j.1365-2966.2009.16215.x	journal	April 2010
A supersonic turbulence origin of Larson's laws Kritsuk, A. G.; Lee, C. T.; Norman, M. L. Monthly Notices of the Royal Astronomical Society, Vol. 436, Issue 4 https://doi.org/10.1093/mnras/stt1805	journal	October 2013
The Role of Magnetized Liner Inertial Fusion as a Pathway to Fusion Energy Sinars, D. B.; Campbell, E. M.; Cuneo, M. E. Journal of Fusion Energy, Vol. 35, Issue 1 https://doi.org/10.1007/s10894-015-0023-4	journal	November 2015
Density-Sensitive Dielectronic Satellite Lines in Microballon Neon Spectra Seely, John F. Physical Review Letters, Vol. 42, Issue 24 https://doi.org/10.1103/PhysRevLett.42.1606	journal	June 1979
Modern Methods in Collisional-Radiative Modeling of Plasmas Ralchenko, Yuri Springer Series on Atomic, Optical, and Plasma Physics https://doi.org/10.1007/978-3-319-27514-7	book	January 2016
Accelerated recombination due to resonant deexcitation of metastable states Ralchenko, Yuri V.; Maron, Yitzhak Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 71, Issue 2-6 https://doi.org/10.1016/S0022-4073(01)00102-9	journal	October 2001
Analytical Theory for the Initial Mass Function: CO Clumps and Prestellar Cores Hennebelle, Patrick; Chabrier, Gilles The Astrophysical Journal, Vol. 684, Issue 1 https://doi.org/10.1086/589916	journal	September 2008
Comparing the statistics of interstellar turbulence in simulations and observations: Solenoidal versus compressive turbulence forcing Federrath, C.; Roman-Duval, J.; Klessen, R. S. Astronomy and Astrophysics, Vol. 512 https://doi.org/10.1051/0004-6361/200912437	journal	March 2010
Density Probability Distribution Functions in Supersonic Hydrodynamic and MHD Turbulence Lemaster, M. Nicole; Stone, James M. The Astrophysical Journal, Vol. 682, Issue 2 https://doi.org/10.1086/590929	journal	July 2008
K-shell radiation physics in low- to moderate-atomic-number z-pinch plasmas on the Z accelerator Jones, B.; Deeney, C.; Coverdale, C. A. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3 https://doi.org/10.1016/j.jqsrt.2005.05.027	journal	May 2006
The Density Probability Distribution in Compressible Isothermal Turbulence: Solenoidal versus Compressive Forcing Federrath, Christoph; Klessen, Ralf S.; Schmidt, Wolfram The Astrophysical Journal, Vol. 688, Issue 2 https://doi.org/10.1086/595280	journal	October 2008
A promising advance in nuclear fusion Herrmann, Mark Nature, Vol. 506, Issue 7488 https://doi.org/10.1038/nature13057	journal	February 2014
Ion-Kinetic-Energy Measurements and Energy Balance in a $Z$ -Pinch Plasma at Stagnation Kroupp, E.; Osin, D.; Starobinets, A. Physical Review Letters, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevLett.98.115001	journal	March 2007
The physics of fast $Z$ pinches Ryutov, D. D.; Derzon, M. S.; Matzen, M. K. Reviews of Modern Physics, Vol. 72, Issue 1 https://doi.org/10.1103/RevModPhys.72.167	journal	January 2000
Hydrodynamical simulations of the decay of high-speed molecular turbulence — I. Dense molecular regions Pavlovski, Georgi; Smith, Michael D.; Mac Low, Mordecai-Mark Monthly Notices of the Royal Astronomical Society, Vol. 337, Issue 2 https://doi.org/10.1046/j.1365-8711.2002.05927.x	journal	September 2002
Measures of intermittency in driven supersonic flows Porter, D.; Pouquet, A.; Woodward, P. Physical Review E, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevE.66.026301	journal	August 2002
The Energy Dissipation Rate of Supersonic, Magnetohydrodynamic Turbulence in Molecular Clouds Mac Low, Mordecai‐Mark The Astrophysical Journal, Vol. 524, Issue 1 https://doi.org/10.1086/307784	journal	October 1999
The Mass Spectra of Cores in Turbulent Molecular Clouds and Implications for the Initial Mass Function Ballesteros‐Paredes, Javier; Gazol, Adriana; Kim, Jongsoo The Astrophysical Journal, Vol. 637, Issue 1 https://doi.org/10.1086/498228	journal	January 2006
High-Gain Magnetized Inertial Fusion Slutz, Stephen A.; Vesey, Roger A. Physical Review Letters, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevLett.108.025003	journal	January 2012
Ion Temperature and Hydrodynamic-Energy Measurements in a $Z$ -Pinch Plasma at Stagnation Kroupp, E.; Osin, D.; Starobinets, A. Physical Review Letters, Vol. 107, Issue 10 https://doi.org/10.1103/PhysRevLett.107.105001	journal	August 2011
The density variance-Mach number relation in supersonic turbulence - I. Isothermal, magnetized gas Molina, F. Z.; Glover, S. C. O.; Federrath, C. Monthly Notices of the Royal Astronomical Society, Vol. 423, Issue 3 https://doi.org/10.1111/j.1365-2966.2012.21075.x	journal	May 2012
Driving Turbulence and Triggering star Formation by Ionizing Radiation Gritschneder, Matthias; Naab, Thorsten; Walch, Stefanie The Astrophysical Journal, Vol. 694, Issue 1 https://doi.org/10.1088/0004-637X/694/1/L26	journal	February 2009
The universality of the stellar initial mass function Padoan, P.; Nordlund, A.; Jones, B. J. T. Monthly Notices of the Royal Astronomical Society, Vol. 288, Issue 1 https://doi.org/10.1093/mnras/288.1.145	journal	June 1997
The star Formation rate of Supersonic Magnetohydrodynamic Turbulence Padoan, Paolo; Nordlund, Åke The Astrophysical Journal, Vol. 730, Issue 1 https://doi.org/10.1088/0004-637X/730/1/40	journal	March 2011
Hydrodynamical simulations of the decay of high-speed molecular turbulence - II. Divergence from isothermality Pavlovski, G.; Smith, M. D.; Mac Low, M. -M. Monthly Notices of the Royal Astronomical Society, Vol. 368, Issue 2 https://doi.org/10.1111/j.1365-2966.2006.10172.x	journal	May 2006
Sudden Viscous Dissipation of Compressing Turbulence Davidovits, Seth; Fisch, Nathaniel J. Physical Review Letters, Vol. 116, Issue 10 https://doi.org/10.1103/PhysRevLett.116.105004	journal	March 2016

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