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Title: Understanding turbulence in compressing plasma as a quasi-EOS

Abstract

Inspired by experimental Z-pinch results, we investigate plasma turbulence undergoing compression. In addition to Z-pinches, plasma turbulence can be compressed in a range of natural and laboratory settings, including inertial fusion experiments and astrophysical molecular clouds. The plasma viscosity, when modeled as described by Braginskii, depends strongly on both temperature and ionization state, giving it the possibility to have a large range of behavior. Here, we highlight the importance of viscous variation in these settings, as well as various insights that can be gained by considering this variation. Included are a “sudden viscous dissipation” effect that leads to a new concept for inertial fusion or X-ray bursts and a bound on turbulent energy behavior under compression. This bound, which was previously applied in inviscid molecular cloud turbulence, is here shown in an application to turbulence that transitions from inviscid to viscous regimes. In conclusion, the task of understanding turbulence under compression can be cast as the process of seeking a “quasi equation of state” for turbulent energy under compression.

Authors:
 [1]; ORCiD logo [1]
  1. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Cornell Univ., Ithaca, NY (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1527100
Alternate Identifier(s):
OSTI ID: 1526788
Grant/Contract Number:  
NA0003764; NA0001836; SC0014664
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Davidovits, Seth, and Fisch, Nathaniel J. Understanding turbulence in compressing plasma as a quasi-EOS. United States: N. p., 2019. Web. doi:10.1063/1.5098790.
Davidovits, Seth, & Fisch, Nathaniel J. Understanding turbulence in compressing plasma as a quasi-EOS. United States. https://doi.org/10.1063/1.5098790
Davidovits, Seth, and Fisch, Nathaniel J. Tue . "Understanding turbulence in compressing plasma as a quasi-EOS". United States. https://doi.org/10.1063/1.5098790. https://www.osti.gov/servlets/purl/1527100.
@article{osti_1527100,
title = {Understanding turbulence in compressing plasma as a quasi-EOS},
author = {Davidovits, Seth and Fisch, Nathaniel J.},
abstractNote = {Inspired by experimental Z-pinch results, we investigate plasma turbulence undergoing compression. In addition to Z-pinches, plasma turbulence can be compressed in a range of natural and laboratory settings, including inertial fusion experiments and astrophysical molecular clouds. The plasma viscosity, when modeled as described by Braginskii, depends strongly on both temperature and ionization state, giving it the possibility to have a large range of behavior. Here, we highlight the importance of viscous variation in these settings, as well as various insights that can be gained by considering this variation. Included are a “sudden viscous dissipation” effect that leads to a new concept for inertial fusion or X-ray bursts and a bound on turbulent energy behavior under compression. This bound, which was previously applied in inviscid molecular cloud turbulence, is here shown in an application to turbulence that transitions from inviscid to viscous regimes. In conclusion, the task of understanding turbulence under compression can be cast as the process of seeking a “quasi equation of state” for turbulent energy under compression.},
doi = {10.1063/1.5098790},
journal = {Physics of Plasmas},
number = 6,
volume = 26,
place = {United States},
year = {Tue Jun 18 00:00:00 EDT 2019},
month = {Tue Jun 18 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 5 works
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Figures / Tables:

FIG. 1 FIG. 1: A comparison of the dissipation based bound (Bound - D) and nonlinear based bound (Bound - NL) with simulation results (solid black line) for the turbulent kinetic energy (TKE) during an isotropic, initially-rapid, compression of a turbulent flowfield in three dimensions. The initial TKE is normalized to 1,more » and the compression progresses from left to right in the plots, with $\bar{L}$ the compression ratio (side length of the flowfield). The left and right plots display simulation results (and associated bounds) for an identical compression, save for the growth rate of the viscosity with compression, $μ ~ \bar{L}^{-2b}$. In the case where $\beta$ = 3/2 (the right plot), it can be seen that the bounds are tight (all lines coincide). See Sec. III for the more information on the bounds and this figure.« less

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Works referencing / citing this record:

Viscous dissipation in two-dimensional compression of turbulence
journal, August 2019

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Figures / Tables found in this record:

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.