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Title: A MAD Model for Gamma-Ray Burst Variability

Abstract

Here we present a model for the temporal variability of long gamma-ray bursts during the prompt phase (the highly variable first 100 seconds or so), in the context of a magnet- ically arrested disk (MAD) around a black hole. In this state, sufficient magnetic flux is held on to the black hole such that it stalls the accretion near the inner region of the disk. The system transitions in and out of the MAD state, which we relate to the vari- able luminosity of the GRB during the prompt phase, with a characteristic timescale defined by the free fall time in the region over which the accretion is arrested. We present simple analytic estimates of the relevant energetics and timescales, and com- pare them to gamma-ray burst observations. In particular, we show how this model can reproduce the characteristic one second time scale that emerges from various analyses of the prompt emission light curve. Finally, we also discuss how our model can accommodate the potentially physically important correlation between a burst quiescent time and the duration of its subsequent pulse (Ramirez-Ruiz & Merloni 2001).

Authors:
 [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1338734
Report Number(s):
LA-UR-15-29635
Journal ID: ISSN 0035-8711
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 461; Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Astronomy and Astrophysics; Stars; gamma ray bursts

Citation Formats

Lloyd-Ronning, Nicole Marie, Dolence, Joshua C., and Fryer, Christopher Lee. A MAD Model for Gamma-Ray Burst Variability. United States: N. p., 2016. Web. doi:10.1093/mnras/stw1366.
Lloyd-Ronning, Nicole Marie, Dolence, Joshua C., & Fryer, Christopher Lee. A MAD Model for Gamma-Ray Burst Variability. United States. doi:10.1093/mnras/stw1366.
Lloyd-Ronning, Nicole Marie, Dolence, Joshua C., and Fryer, Christopher Lee. Thu . "A MAD Model for Gamma-Ray Burst Variability". United States. doi:10.1093/mnras/stw1366. https://www.osti.gov/servlets/purl/1338734.
@article{osti_1338734,
title = {A MAD Model for Gamma-Ray Burst Variability},
author = {Lloyd-Ronning, Nicole Marie and Dolence, Joshua C. and Fryer, Christopher Lee},
abstractNote = {Here we present a model for the temporal variability of long gamma-ray bursts during the prompt phase (the highly variable first 100 seconds or so), in the context of a magnet- ically arrested disk (MAD) around a black hole. In this state, sufficient magnetic flux is held on to the black hole such that it stalls the accretion near the inner region of the disk. The system transitions in and out of the MAD state, which we relate to the vari- able luminosity of the GRB during the prompt phase, with a characteristic timescale defined by the free fall time in the region over which the accretion is arrested. We present simple analytic estimates of the relevant energetics and timescales, and com- pare them to gamma-ray burst observations. In particular, we show how this model can reproduce the characteristic one second time scale that emerges from various analyses of the prompt emission light curve. Finally, we also discuss how our model can accommodate the potentially physically important correlation between a burst quiescent time and the duration of its subsequent pulse (Ramirez-Ruiz & Merloni 2001).},
doi = {10.1093/mnras/stw1366},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 461,
place = {United States},
year = {2016},
month = {6}
}

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Works referenced in this record:

The Magnetorotational Instability in Core‐Collapse Supernova Explosions
journal, February 2003

  • Akiyama, Shizuka; Wheeler, J. Craig; Meier, David L.
  • The Astrophysical Journal, Vol. 584, Issue 2
  • DOI: 10.1086/344135

On the Magnetic Prandtl Number Behavior of Accretion Disks
journal, February 2008

  • Balbus, Steven A.; Henri, Pierre
  • The Astrophysical Journal, Vol. 674, Issue 1
  • DOI: 10.1086/524838

Transport of Large-Scale Poloidal flux in Black hole Accretion
journal, November 2009


Power Density Spectra of Gamma‐Ray Bursts
journal, May 2000

  • Beloborodov, Andrei M.; Stern, Boris E.; Svensson, Roland
  • The Astrophysical Journal, Vol. 535, Issue 1
  • DOI: 10.1086/308836

X-ray flares in GRBs: general considerations and photospheric origin
journal, January 2016

  • Beniamini, Paz; Kumar, Pawan
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 457, Issue 1
  • DOI: 10.1093/mnrasl/slw003

Short-Duration Gamma-Ray Bursts
journal, August 2014


Electromagnetic extraction of energy from Kerr black holes
journal, July 1977

  • Blandford, R. D.; Znajek, R. L.
  • Monthly Notices of the Royal Astronomical Society, Vol. 179, Issue 3
  • DOI: 10.1093/mnras/179.3.433

Short gamma-ray bursts with extended emission from magnetar birth: jet formation and collimation: SGRBEEs from protomagnetar spin-down
journal, October 2011


Bright X-ray Flares in Gamma-Ray Burst Afterglows
journal, September 2005


Average power density spectrum of long GRBs detected with BeppoSAX/GRBM and with Fermi/GBM
journal, April 2013

  • Dichiara, S.; Guidorzi, C.; Amati, L.
  • Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 4
  • DOI: 10.1093/mnras/stt445

Quiescent Times in Gamma‐Ray Bursts: Hints of a Dormant Inner Engine
journal, August 2007

  • Drago, Alessandro; Pagliara, Giuseppe
  • The Astrophysical Journal, Vol. 665, Issue 2
  • DOI: 10.1086/519728

From Engine to Afterglow: Collapsars Naturally Produce Top-Heavy jets and Early-Time Plateaus in Gamma-Ray Burst Afterglows
journal, June 2015


Late internal-shock model for bright X-ray flares in gamma-ray burst afterglows and GRB 011121
journal, November 2005


Short-living Supermassive Magnetar Model for the Early X-ray Flares Following Short GRBs
journal, October 2006

  • Gao, Wei-Hong; Fan, Yi-Zhong
  • Chinese Journal of Astronomy and Astrophysics, Vol. 6, Issue 5
  • DOI: 10.1088/1009-9271/6/5/01

Grb 080503 late Afterglow Re-Brightening: Signature of a Magnetar-Powered Merger-Nova
journal, July 2015


No Flares from Gamma-Ray Burst Afterglow Blast Waves Encountering Sudden Circumburst Density Change
journal, July 2013

  • Gat, Ilana; van Eerten, Hendrik; MacFadyen, Andrew
  • The Astrophysical Journal, Vol. 773, Issue 1
  • DOI: 10.1088/0004-637X/773/1/2

Gamma-Ray Bursts in the Swift Era
journal, September 2009


Spectral-luminosity relation within individual Fermi gamma rays bursts
journal, February 2010


The Turbulent Magnetic Prandtl Number of mhd Turbulence in Disks
journal, May 2009


Testing the gamma-ray burst variability/peak luminosity correlation using the pseudo-redshifts of a large sample of BATSE gamma-ray bursts
journal, November 2005


Average power density spectrum of Swift long gamma-ray bursts in the observer and in the source-rest frames: Average power density spectrum of Swift long GRBs
journal, March 2012


Presupernova Evolution of Rotating Massive Stars. I. Numerical Method and Evolution of the Internal Stellar Structure
journal, January 2000

  • Heger, A.; Langer, N.; Woosley, S. E.
  • The Astrophysical Journal, Vol. 528, Issue 1
  • DOI: 10.1086/308158

Three‐dimensional Magnetohydrodynamic Simulations of Radiatively Inefficient Accretion Flows
journal, August 2003

  • Igumenshchev, Igor V.; Narayan, Ramesh; Abramowicz, Marek A.
  • The Astrophysical Journal, Vol. 592, Issue 2
  • DOI: 10.1086/375769

On the origin of quiescent X-ray emission from A0535+26
journal, February 2001


Magnetic interchange instability of accretion disks
journal, February 1992

  • Kaisig, M.; Tajima, T.; Lovelace, R. V. E.
  • The Astrophysical Journal, Vol. 386
  • DOI: 10.1086/170994

Jet Luminosity from Neutrino-Dominated Accretion Flows in Gamma-Ray Bursts
journal, March 2013


THE STATISTICS OF BAT-TO-XRT FLUX RATIO IN GRBs: EVIDENCE FOR A CHARACTERISTIC VALUE AND ITS IMPLICATIONS
journal, March 2015


Can Internal Shocks Produce the Variability in Gamma‐Ray Bursts?
journal, November 1997

  • Kobayashi, Shiho; Piran, Tsvi; Sari, Re'em
  • The Astrophysical Journal, Vol. 490, Issue 1
  • DOI: 10.1086/512791

An X-ray pulsar with a superstrong magnetic field in the soft γ-ray repeater SGR1806 − 20
journal, May 1998

  • Kouveliotou, C.; Dieters, S.; Strohmayer, T.
  • Nature, Vol. 393, Issue 6682
  • DOI: 10.1038/30410

Turbulent reconnection and its implications
journal, May 2015

  • Lazarian, A.; Eyink, G.; Vishniac, E.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, Issue 2041
  • DOI: 10.1098/rsta.2014.0144

The Blandford–Znajek process as a central engine for a gamma-ray burst
journal, February 2000


Log-normal Distributions in Gamma-Ray Burst Time Histories
journal, October 1996

  • Li, Hui; Fenimore, Edward E.
  • The Astrophysical Journal, Vol. 469, Issue 2
  • DOI: 10.1086/310275

Collapsar Accretion and the Gamma-Ray Burst X-Ray Light Curve
journal, March 2010

  • Lindner, Christopher C.; Milosavljević, Miloš; Couch, Sean M.
  • The Astrophysical Journal, Vol. 713, Issue 2
  • DOI: 10.1088/0004-637X/713/2/800

Jet Luminosity of Gamma-Ray Bursts: the Blandford–Znajek Mechanism Versus the Neutrino Annihilation Process
journal, May 2015


THE MILLISECOND MAGNETAR CENTRAL ENGINE IN SHORT GRBs
journal, May 2015


Magnetic field dragging in accretion discs
journal, March 1994

  • Lubow, S. H.; Papaloizou, J. C. B.; Pringle, J. E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 267, Issue 2
  • DOI: 10.1093/mnras/267.2.235

Lognormal distributions in gamma-ray bursts and cosmic lightning
journal, December 1994

  • McBreen, B.; Hurley, K. J.; Long, R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 271, Issue 3
  • DOI: 10.1093/mnras/271.3.662

Cumulative light curves of gamma-ray bursts and relaxation systems
journal, September 2002


General relativistic magnetohydrodynamic simulations of magnetically choked accretion flows around black holes: Magnetically choked accretion flows
journal, June 2012

  • McKinney, Jonathan C.; Tchekhovskoy, Alexander; Blandford, Roger D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 423, Issue 4
  • DOI: 10.1111/j.1365-2966.2012.21074.x

On the average gamma-ray burst X-ray flaring activity: Average GRB X-ray flaring activity
journal, September 2010


Gamma-Ray Bursts in Circumstellar Shells: a Possible Explanation for Flares
journal, September 2012

  • Mesler, Robert A.; Whalen, Daniel J.; Lloyd-Ronning, Nicole M.
  • The Astrophysical Journal, Vol. 757, Issue 2
  • DOI: 10.1088/0004-637X/757/2/117

The First Gamma-Ray Bursts in the Universe
journal, May 2014


The protomagnetar model for gamma-ray bursts: Protomagnetar model for GRBs
journal, March 2011


A large-scale dynamo and magnetoturbulence in rapidly rotating core-collapse supernovae
journal, November 2015

  • Mösta, Philipp; Ott, Christian D.; Radice, David
  • Nature, Vol. 528, Issue 7582
  • DOI: 10.1038/nature15755

Smooth light curves from a bumpy ride: relativistic blast wave encounters a density jump
journal, September 2007


Gamma-Ray Burst Light Curves—Another Clue on the Inner Engine
journal, June 2002

  • Nakar, E.; Piran, T.
  • The Astrophysical Journal, Vol. 572, Issue 2
  • DOI: 10.1086/341748

Magnetically Arrested Disk: an Energetically Efficient Accretion Flow: Fig. 1
journal, December 2003

  • Narayan, Ramesh; Igumenshchev, Igor V.; Abramowicz, Marek A.
  • Publications of the Astronomical Society of Japan, Vol. 55, Issue 6
  • DOI: 10.1093/pasj/55.6.L69

Implications of the Lag‐Luminosity Relationship for Unified Gamma‐Ray Burst Paradigms
journal, November 2002

  • Norris, J. P.
  • The Astrophysical Journal, Vol. 579, Issue 1
  • DOI: 10.1086/342747

Attributes of Pulses in Long Bright Gamma-Ray Bursts
journal, March 1996

  • Norris, J. P.; Nemiroff, R. J.; Bonnell, J. T.
  • The Astrophysical Journal, Vol. 459
  • DOI: 10.1086/176902

Flares in Long and Short Gamma-Ray Bursts: A Common Origin in a Hyperaccreting Accretion Disk
journal, December 2005

  • Perna, Rosalba; Armitage, Philip J.; Zhang, Bing
  • The Astrophysical Journal, Vol. 636, Issue 1
  • DOI: 10.1086/499775

The physics of gamma-ray bursts
journal, January 2005


Producing Ultrastrong Magnetic Fields in Neutron Star Mergers
journal, May 2006


The late time evolution of gamma-ray bursts: ending hyperaccretion and producing flares
journal, July 2006


Temporal properties of gamma ray bursts as signatures of jets from the central engine
journal, April 2002


Quiescent times in gamma-ray bursts -- I. An observed correlation between the durations of subsequent emission episodes
journal, January 2001


Quiescent times in gamma-ray bursts - II. Dormant periods in the central engine?
journal, July 2001

  • Ramirez-Ruiz, Enrico; Merloni, Andrea; Rees, Martin J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 324, Issue 4
  • DOI: 10.1046/j.1365-8711.2001.04413.x

A Possible Cepheid‐like Luminosity Estimator for the Long Gamma‐Ray Bursts
journal, May 2001

  • Reichart, Daniel E.; Lamb, Donald Q.; Fenimore, Edward E.
  • The Astrophysical Journal, Vol. 552, Issue 1
  • DOI: 10.1086/320434

Advection of Magnetic Fields in Accretion Disks: Not So Difficult After All
journal, April 2008

  • Rothstein, David M.; Lovelace, Richard V. E.
  • The Astrophysical Journal, Vol. 677, Issue 2
  • DOI: 10.1086/529128

On binary-driven hypernovae and their nested late X-ray emission
journal, May 2014


Interchange instability in and accretion disc with a poloidal magnetic field
journal, August 1995

  • Spruit, H. C.; Stehle, R.; Papaloizou, J. C. B.
  • Monthly Notices of the Royal Astronomical Society, Vol. 275, Issue 4
  • DOI: 10.1093/mnras/275.4.1223

Gamma-Ray Burst Flares: X-Ray Flaring. ii.
journal, May 2014


Magnetic flux of progenitor stars sets gamma-ray burst luminosity and variability
journal, December 2014

  • Tchekhovskoy, Alexander; Giannios, Dimitrios
  • Monthly Notices of the Royal Astronomical Society, Vol. 447, Issue 1
  • DOI: 10.1093/mnras/stu2229

Black hole spin and the Radio Loud/Quiet Dichotomy of Active Galactic Nuclei
journal, February 2010

  • Tchekhovskoy, Alexander; Narayan, Ramesh; McKinney, Jonathan C.
  • The Astrophysical Journal, Vol. 711, Issue 1
  • DOI: 10.1088/0004-637X/711/1/50

Efficient generation of jets from magnetically arrested accretion on a rapidly spinning black hole: Jets from magnetically arrested BH accretion
journal, November 2011

  • Tchekhovskoy, Alexander; Narayan, Ramesh; McKinney, Jonathan C.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 418, Issue 1
  • DOI: 10.1111/j.1745-3933.2011.01147.x

General Relativistic Modeling of Magnetized Jets from Accreting Black Holes
journal, July 2012


Swift J1644+57 gone MAD: the case for dynamically important magnetic flux threading the black hole in a jetted tidal disruption event
journal, November 2013

  • Tchekhovskoy, Alexander; Metzger, Brian D.; Giannios, Dimitrios
  • Monthly Notices of the Royal Astronomical Society, Vol. 437, Issue 3
  • DOI: 10.1093/mnras/stt2085

Gamma-ray burst afterglow plateau break time–luminosity correlations favour thick shell models over thin shell models
journal, October 2014

  • van Eerten, Hendrik J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 3
  • DOI: 10.1093/mnras/stu1921

Long Gamma-Ray Transients from Collapsars
journal, May 2012


Dynamically important magnetic fields near accreting supermassive black holes
journal, June 2014

  • Zamaninasab, M.; Clausen-Brown, E.; Savolainen, T.
  • Nature, Vol. 510, Issue 7503
  • DOI: 10.1038/nature13399

Gamma-Ray Burst Afterglow with Continuous Energy Injection: Signature of a Highly Magnetized Millisecond Pulsar
journal, May 2001

  • Zhang, Bing; Mészáros, Peter
  • The Astrophysical Journal, Vol. 552, Issue 1
  • DOI: 10.1086/320255

Physical Processes Shaping Gamma‐Ray Burst X‐Ray Afterglow Light Curves: Theoretical Implications from the Swift X‐Ray Telescope Observations
journal, May 2006

  • Zhang, Bing; Fan, Y. Z.; Dyks, Jaroslaw
  • The Astrophysical Journal, Vol. 642, Issue 1
  • DOI: 10.1086/500723

Magnetic Energy Production by Turbulence in Binary Neutron star Mergers
journal, May 2013


    Works referencing / citing this record:

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    Accretion into Black Hole, and Formation of Magnetically Arrested Accretion Disks
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