An integral condition for core-collapse supernova explosions
Abstract
Here, we derive an integral condition for core-collapse supernova (CCSN) explosions and use it to construct a new diagnostic of explodability. The fundamental challenge in CCSN theory is to explain how a stalled accretion shock revives to explode a star. In this manuscript, we assume that the shock revival is initiated by the delayed-neutrino mechanism and derive an integral condition for spherically symmetric shock expansion, vs > 0. One of the most useful one-dimensional explosion conditions is the neutrino luminosity and mass-accretion rate ($${L}_{\nu }\mbox{--}\dot{{ \mathcal M }}$$) critical curve. Below this curve, steady-state stalled solutions exist, but above this curve, there are no stalled solutions. Burrows & Goshy suggested that the solutions above this curve are dynamic and explosive. In this manuscript, we take one step closer to proving this supposition; we show that all steady solutions above this curve have vs > 0. Assuming that these steady vs > 0 solutions correspond to explosion, we present a new dimensionless integral condition for explosion, Ψ > 0. Ψ roughly describes the balance between pressure and gravity, and we show that this parameter is equivalent to the τ condition used to infer the $${L}_{\nu }\mbox{--}\dot{{ \mathcal M }}$$ critical curve. The illuminating difference is that there is a direct relationship between Ψ and vs. Below the critical curve, Ψ may be negative, positive, and zero, which corresponds to receding, expanding, and stalled-shock solutions. At the critical curve, the minimum Ψ solution is zero; above the critical curve, Ψmin > 0, and all steady solutions have vs > 0. Using one-dimensional simulations, we confirm our primary assumptions and verify that Ψmin > 0 is a reliable and accurate explosion diagnostic.
- Authors:
-
- Florida State Univ., Tallahassee, FL (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- National Science Foundation (NSF); USDOE
- OSTI Identifier:
- 1352363
- Report Number(s):
- LA-UR-15-25862
Journal ID: ISSN 1538-4357; TRN: US1701010
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal (Online); Journal Volume: 834; Journal Issue: 2; Journal ID: ISSN 1538-4357
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; astronomy and astrophysics; hydrodynamics; methods: analytical; methods: numerical; shock waves; supernovae: general
Citation Formats
Murphy, Jeremiah W., and Dolence, Joshua C. An integral condition for core-collapse supernova explosions. United States: N. p., 2017.
Web. doi:10.3847/1538-4357/834/2/183.
Murphy, Jeremiah W., & Dolence, Joshua C. An integral condition for core-collapse supernova explosions. United States. https://doi.org/10.3847/1538-4357/834/2/183
Murphy, Jeremiah W., and Dolence, Joshua C. Tue .
"An integral condition for core-collapse supernova explosions". United States. https://doi.org/10.3847/1538-4357/834/2/183. https://www.osti.gov/servlets/purl/1352363.
@article{osti_1352363,
title = {An integral condition for core-collapse supernova explosions},
author = {Murphy, Jeremiah W. and Dolence, Joshua C.},
abstractNote = {Here, we derive an integral condition for core-collapse supernova (CCSN) explosions and use it to construct a new diagnostic of explodability. The fundamental challenge in CCSN theory is to explain how a stalled accretion shock revives to explode a star. In this manuscript, we assume that the shock revival is initiated by the delayed-neutrino mechanism and derive an integral condition for spherically symmetric shock expansion, vs > 0. One of the most useful one-dimensional explosion conditions is the neutrino luminosity and mass-accretion rate (${L}_{\nu }\mbox{--}\dot{{ \mathcal M }}$) critical curve. Below this curve, steady-state stalled solutions exist, but above this curve, there are no stalled solutions. Burrows & Goshy suggested that the solutions above this curve are dynamic and explosive. In this manuscript, we take one step closer to proving this supposition; we show that all steady solutions above this curve have vs > 0. Assuming that these steady vs > 0 solutions correspond to explosion, we present a new dimensionless integral condition for explosion, Ψ > 0. Ψ roughly describes the balance between pressure and gravity, and we show that this parameter is equivalent to the τ condition used to infer the ${L}_{\nu }\mbox{--}\dot{{ \mathcal M }}$ critical curve. The illuminating difference is that there is a direct relationship between Ψ and vs. Below the critical curve, Ψ may be negative, positive, and zero, which corresponds to receding, expanding, and stalled-shock solutions. At the critical curve, the minimum Ψ solution is zero; above the critical curve, Ψmin > 0, and all steady solutions have vs > 0. Using one-dimensional simulations, we confirm our primary assumptions and verify that Ψmin > 0 is a reliable and accurate explosion diagnostic.},
doi = {10.3847/1538-4357/834/2/183},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 834,
place = {United States},
year = {Tue Jan 10 00:00:00 EST 2017},
month = {Tue Jan 10 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Revival of a stalled supernova shock by neutrino heating
journal, August 1985
- Bethe, H. A.; Wilson, J. R.
- The Astrophysical Journal, Vol. 295
THE DEVELOPMENT OF EXPLOSIONS IN AXISYMMETRIC AB INITIO CORE-COLLAPSE SUPERNOVA SIMULATIONS OF 12–25 ${M}_{\odot }$ STARS
journal, February 2016
- Bruenn, Stephen W.; Lentz, Eric J.; Hix, W. Raphael
- The Astrophysical Journal, Vol. 818, Issue 2
Two-dimensional hydrodynamic core-collapse supernova simulations with spectral neutrino transport: II. Models for different progenitor stars
journal, September 2006
- Buras, R.; Janka, H. -Th.; Rampp, M.
- Astronomy & Astrophysics, Vol. 457, Issue 1
Improved Models of Stellar Core Collapse and Still No Explosions: What Is Missing?
journal, June 2003
- Buras, R.; Rampp, M.; Janka, H. -Th.
- Physical Review Letters, Vol. 90, Issue 24
Two-dimensional hydrodynamic core-collapse supernova simulations with spectral neutrino transport: I. Numerical method and results for a 15
journal, February 2006
- Buras, R.; Rampp, M.; Janka, H. -Th.
- Astronomy & Astrophysics, Vol. 447, Issue 3
Colloquium : Perspectives on core-collapse supernova theory
journal, February 2013
- Burrows, Adam
- Reviews of Modern Physics, Vol. 85, Issue 1
The Multi-Dimensional Character and Mechanisms of Core-Collapse Supernovae
conference, January 2007
- Burrows, Adam; Dessart, Luc; Livne, Eli
- SUPERNOVA 1987A: 20 YEARS AFTER: Supernovae and Gamma-Ray Bursters, AIP Conference Proceedings
A Theory of Supernova Explosions
journal, October 1993
- Burrows, Adam; Goshy, John
- The Astrophysical Journal, Vol. 416
On the Nature of Core-Collapse Supernova Explosions
journal, September 1995
- Burrows, Adam; Hayes, John; Fryxell, Bruce A.
- The Astrophysical Journal, Vol. 450
The Hydrodynamic Behavior of Supernovae Explosions
journal, January 1966
- Colgate, Stirling A.; White, Richard H.
- The Astrophysical Journal, Vol. 143
On the Impact of Three Dimensions in Simulations of Neutrino-Driven Core-Collapse Supernova Explosions
journal, August 2013
- Couch, Sean M.
- The Astrophysical Journal, Vol. 775, Issue 1
Dimensional Dependence of the Hydrodynamics of Core-Collapse Supernovae
journal, February 2013
- Dolence, Joshua C.; Burrows, Adam; Murphy, Jeremiah W.
- The Astrophysical Journal, Vol. 765, Issue 2
Two-Dimensional Core-Collapse Supernova Models with Multi-Dimensional Transport
journal, February 2015
- Dolence, Joshua C.; Burrows, Adam; Zhang, Weiqun
- The Astrophysical Journal, Vol. 800, Issue 1
Hydrodynamics of Core-Collapse Supernovae at the Transition to Explosion. i. Spherical Symmetry
journal, April 2012
- Fernández, Rodrigo
- The Astrophysical Journal, Vol. 749, Issue 2
Dynamics of a Spherical Accretion Shock with Neutrino Heating and Alpha-Particle Recombination
journal, September 2009
- Fernández, Rodrigo; Thompson, Christopher
- The Astrophysical Journal, Vol. 703, Issue 2
The neutrino signal from protoneutron star accretion and black hole formation
journal, March 2009
- Fischer, T.; Whitehouse, S. C.; Mezzacappa, A.
- Astronomy & Astrophysics, Vol. 499, Issue 1
Compact Remnant mass Function: Dependence on the Explosion Mechanism and Metallicity
journal, March 2012
- Fryer, Chris L.; Belczynski, Krzysztof; Wiktorowicz, Grzegorz
- The Astrophysical Journal, Vol. 749, Issue 1
Is Strong sasi Activity the key to Successful Neutrino-Driven Supernova Explosions?
journal, August 2012
- Hanke, Florian; Marek, Andreas; Müller, Bernhard
- The Astrophysical Journal, Vol. 755, Issue 2
Sasi Activity in Three-Dimensional Neutrino-Hydrodynamics Simulations of Supernova Cores
journal, May 2013
- Hanke, Florian; Müller, Bernhard; Wongwathanarat, Annop
- The Astrophysical Journal, Vol. 770, Issue 1
New Equations of State in Simulations of Core-Collapse Supernovae
journal, March 2012
- Hempel, M.; Fischer, T.; Schaffner-Bielich, J.
- The Astrophysical Journal, Vol. 748, Issue 1
Inside the supernova: A powerful convective engine
journal, November 1994
- Herant, Marc; Benz, Willy; Hix, W. Raphael
- The Astrophysical Journal, Vol. 435
Conditions for shock revival by neutrino heating in core-collapse supernovae
journal, March 2001
- Janka, H. -Th.
- Astronomy & Astrophysics, Vol. 368, Issue 2
Explosion Mechanisms of Core-Collapse Supernovae
journal, November 2012
- Janka, Hans-Thomas
- Annual Review of Nuclear and Particle Science, Vol. 62, Issue 1
The equation of state of hot, dense matter and neutron stars
journal, March 2016
- Lattimer, James M.; Prakash, Madappa
- Physics Reports, Vol. 621
Conservative general relativistic radiation hydrodynamics in spherical symmetry and comoving coordinates
journal, April 2001
- Liebendörfer, Matthias; Mezzacappa, Anthony; Thielemann, Friedrich-Karl
- Physical Review D, Vol. 63, Issue 10
Probing the gravitational well: No supernova explosion in spherical symmetry with general relativistic Boltzmann neutrino transport
journal, April 2001
- Liebendörfer, Matthias; Mezzacappa, Anthony; Thielemann, Friedrich-Karl
- Physical Review D, Vol. 63, Issue 10
Supernova Simulations with Boltzmann Neutrino Transport: A Comparison of Methods
journal, February 2005
- Liebendorfer, M.; Rampp, M.; Janka, H. ‐Th.
- The Astrophysical Journal, Vol. 620, Issue 2
The energetics of adiabatic shocks in stellar collapse
journal, August 1982
- Mazurek, T. J.
- The Astrophysical Journal, Vol. 259
Shock Stagnation and Neutrino Losses in Stellar Collapse
book, January 1982
- Mazurek, T. J.; Cooperstein, J.; Kahana, S.
- Supernovae: A Survey of Current Research
Neutrino-Driven Supernova of a Low-Mass Iron-Core Progenitor Boosted by Three-Dimensional Turbulent Convection
journal, March 2015
- Melson, Tobias; Janka, Hans-Thomas; Marek, Andreas
- The Astrophysical Journal, Vol. 801, Issue 2
New Two-Dimensional Models of Supernova Explosions by the Neutrino-Heating Mechanism: Evidence for Different Instability Regimes in Collapsing Stellar Cores
journal, November 2012
- Müller, Bernhard; Janka, Hans-Thomas; Heger, Alexander
- The Astrophysical Journal, Vol. 761, Issue 1
A new Multi-Dimensional General Relativistic Neutrino Hydrodynamics code for Core-Collapse Supernovae. ii. Relativistic Explosion Models of Core-Collapse Supernovae
journal, August 2012
- Müller, Bernhard; Janka, Hans-Thomas; Marek, Andreas
- The Astrophysical Journal, Vol. 756, Issue 1
Criteria for Core‐Collapse Supernova Explosions by the Neutrino Mechanism
journal, December 2008
- Murphy, Jeremiah W.; Burrows, Adam
- The Astrophysical Journal, Vol. 688, Issue 2
The Dominance of Neutrino-Driven Convection in Core-Collapse Supernovae
journal, June 2013
- Murphy, Jeremiah W.; Dolence, Joshua C.; Burrows, Adam
- The Astrophysical Journal, Vol. 771, Issue 1
A Global Turbulence Model for Neutrino-Driven Convection in Core-Collapse Supernovae
journal, November 2011
- Murphy, Jeremiah W.; Meakin, Casey
- The Astrophysical Journal, Vol. 742, Issue 2
Black hole Formation in Failing Core-Collapse Supernovae
journal, March 2011
- O'Connor, Evan; Ott, Christian D.
- The Astrophysical Journal, Vol. 730, Issue 2
Numerical Analysis of Standing Accretion Shock Instability with Neutrino Heating in Supernova Cores
journal, April 2006
- Ohnishi, Naofumi; Kotake, Kei; Yamada, Shoichi
- The Astrophysical Journal, Vol. 641, Issue 2
Two‐Dimensional Multiangle, Multigroup Neutrino Radiation‐Hydrodynamic Simulations of Postbounce Supernova Cores
journal, October 2008
- Ott, Christian D.; Burrows, Adam; Dessart, Luc
- The Astrophysical Journal, Vol. 685, Issue 2
The Physics of the Neutrino Mechanism of Core-Collapse Supernovae
journal, January 2012
- Pejcha, Ondřej; Thompson, Todd A.
- The Astrophysical Journal, Vol. 746, Issue 1
Radiation hydrodynamics with neutrinos: Variable Eddington factor method for core-collapse supernova simulations
journal, November 2002
- Rampp, M.; Janka, H. -T.
- Astronomy & Astrophysics, Vol. 396, Issue 1
A Comparison of two- and Three-Dimensional Neutrino-Hydrodynamics Simulations of Core-Collapse Supernovae
journal, April 2014
- Takiwaki, Tomoya; Kotake, Kei; Suwa, Yudai
- The Astrophysical Journal, Vol. 786, Issue 2
Accretional Heating of Asymmetric Supernova Cores
journal, May 2000
- Thompson, Christopher
- The Astrophysical Journal, Vol. 534, Issue 2
Shock Breakout in Core‐Collapse Supernovae and Its Neutrino Signature
journal, July 2003
- Thompson, Todd A.; Burrows, Adam; Pinto, Philip A.
- The Astrophysical Journal, Vol. 592, Issue 1
Viscosity and Rotation in Core‐Collapse Supernovae
journal, February 2005
- Thompson, Todd A.; Quataert, Eliot; Burrows, Adam
- The Astrophysical Journal, Vol. 620, Issue 2
Nucleosynthesis and remnants in massive stars of solar metallicity
journal, April 2007
- Woosley, S.; Heger, A.
- Physics Reports, Vol. 442, Issue 1-6
Effect of Rotation on the Stability of a Stalled Cylindrical Shock and Its Consequences for Core‐Collapse Supernovae
journal, May 2008
- Yamasaki, Tatsuya; Foglizzo, Thierry
- The Astrophysical Journal, Vol. 679, Issue 1
Effects of Rotation on the Revival of a Stalled Shock in Supernova Explosions
journal, April 2005
- Yamasaki, Tatsuya; Yamada, Shoichi
- The Astrophysical Journal, Vol. 623, Issue 2
Standing Accretion Shocks in the Supernova Core: Effects of Convection and Realistic Equations of State
journal, October 2006
- Yamasaki, Tatsuya; Yamada, Shoichi
- The Astrophysical Journal, Vol. 650, Issue 1
Works referencing / citing this record:
Turbulence in core-collapse supernovae
journal, April 2018
- Radice, David; Abdikamalov, Ernazar; Ott, Christian D.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 5
The antesonic condition for the explosion of core-collapse supernovae – I. Spherically symmetric polytropic models: stability and wind emergence
journal, September 2018
- Raives, Matthias J.; Couch, Sean M.; Greco, Johnny P.
- Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 3
Revival of the fittest: exploding core-collapse supernovae from 12 to 25 M⊙
journal, March 2018
- Vartanyan, David; Burrows, Adam; Radice, David
- Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 3
Electron-capture and Low-mass Iron-core-collapse Supernovae: New Neutrino-radiation-hydrodynamics Simulations
journal, November 2017
- Radice, David; Burrows, Adam; Vartanyan, David
- The Astrophysical Journal, Vol. 850, Issue 1
Confronting Models of Massive Star Evolution and Explosions with Remnant Mass Measurements
journal, March 2018
- Raithel, Carolyn A.; Sukhbold, Tuguldur; Özel, Feryal
- The Astrophysical Journal, Vol. 856, Issue 1
Effects of Rotation and Magnetic Field on the Revival of a Stalled Shock in Supernova Explosions
journal, February 2019
- Fujisawa, Kotaro; Okawa, Hirotada; Yamamoto, Yu
- The Astrophysical Journal, Vol. 872, Issue 2
Revival of the Fittest: Exploding Core-Collapse Supernovae from 12 to 25 M$_{\odot}$
text, January 2018
- Vartanyan, David; Burrows, Adam; Radice, David
- arXiv
Effects of rotation and magnetic field on the revival of a stalled shock in supernova explosions
text, January 2018
- Fujisawa, Kotaro; Okawa, Hirotada; Yamamoto, Yu
- arXiv