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Title: Regimes of the Vishniac–Ryu Decelerating Shock Instability

Abstract

Here we revisit the derivation of the instability of dense shocked layers, originally developed by Vishniac and Ryu. Our motivation is that density profiles found in actual astrophysical and laboratory systems often do not match the assumptions in that paper. In order to identify the anticipated theoretical growth rates for various circumstances, one must first revisit the derivation and allow for the possibility that the density scale length differs, in magnitude and/or in sign, from the isothermal scale height. This analysis leads us to find regimes of purely convective instability and also of Vishniac stabilization of this instability, in addition to some new regimes of Vishniac behavior. We also identify a typographical error in the original paper that matters for quantitative evaluation of growth rates.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP); USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1484645
Alternate Identifier(s):
OSTI ID: 1486978
Report Number(s):
LA-UR-18-24184
Journal ID: ISSN 1538-4357
Grant/Contract Number:  
89233218CNA000001; NA0002956; NA0001944; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 868; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; hydrodynamics; instabilities; supernovae: general; turbulence; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Drake, R. Paul, and Doss, Forrest William. Regimes of the Vishniac–Ryu Decelerating Shock Instability. United States: N. p., 2018. Web. doi:10.3847/1538-4357/aae47d.
Drake, R. Paul, & Doss, Forrest William. Regimes of the Vishniac–Ryu Decelerating Shock Instability. United States. doi:https://doi.org/10.3847/1538-4357/aae47d
Drake, R. Paul, and Doss, Forrest William. Wed . "Regimes of the Vishniac–Ryu Decelerating Shock Instability". United States. doi:https://doi.org/10.3847/1538-4357/aae47d. https://www.osti.gov/servlets/purl/1484645.
@article{osti_1484645,
title = {Regimes of the Vishniac–Ryu Decelerating Shock Instability},
author = {Drake, R. Paul and Doss, Forrest William},
abstractNote = {Here we revisit the derivation of the instability of dense shocked layers, originally developed by Vishniac and Ryu. Our motivation is that density profiles found in actual astrophysical and laboratory systems often do not match the assumptions in that paper. In order to identify the anticipated theoretical growth rates for various circumstances, one must first revisit the derivation and allow for the possibility that the density scale length differs, in magnitude and/or in sign, from the isothermal scale height. This analysis leads us to find regimes of purely convective instability and also of Vishniac stabilization of this instability, in addition to some new regimes of Vishniac behavior. We also identify a typographical error in the original paper that matters for quantitative evaluation of growth rates.},
doi = {10.3847/1538-4357/aae47d},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 868,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Figure 1 Figure 1: Schematic of the system analyzed first in Vishniac & Ryu (1989).

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    Works referencing / citing this record:

    Self-similar dynamics of radiative blast waves
    journal, January 2020

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