DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Turbulent Model of Crab Nebula Radiation

Abstract

We construct a turbulent model of the Crab Nebula's nonthermal emission. The present model resolves a number of long-standing problems of the Kennel–Coroniti model: (i) the sigma problem, (ii) the hard spectrum of radio electrons, (iii) the high peak energy of gamma-ray flares, (iv) and the spatial evolution of the infrared (IR) emission. The Nebula contains two populations of injected particles: Component-I, accelerated at the wind termination shock via the Fermi-I mechanism; and Component-II, accelerated in reconnecting turbulence in highly magnetized (σ >> 1) plasma in the central part of the Crab Nebula. The reconnecting turbulence in Component-II extends from radio to gamma-rays: it accelerates radio electrons with a hard spectrum, destroys the large-scale magnetic flux (and thus resolves the sigma problem), and occasionally produces gamma-ray flares (from the largest-scale reconnection events). The model reproduces the broadband spectrum of the Crab Nebula, from low-frequency synchrotron emission in radio to inverse-Compton emission at TeV energies, as well as the spatially resolved evolution of the spectral indices in the IR and optical bands.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Purdue Univ., West Lafayette, IN (United States). Dept. of Physics and Astronomy
  2. Space Telescope Science Inst., Baltimore, MD (United States)
  3. Columbia Univ., New York, NY (United States). Dept. of Astronomy
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1803039
Grant/Contract Number:  
SC0016542
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 896; Journal Issue: 2; Journal ID: ISSN 1538-4357
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; rotation powered pulsars; stellar wind bubbles; interstellar synchrotron emission

Citation Formats

Luo, Yonggang, Lyutikov, Maxim, Temim, Tea, and Comisso, Luca. Turbulent Model of Crab Nebula Radiation. United States: N. p., 2020. Web. doi:10.3847/1538-4357/ab93c0.
Luo, Yonggang, Lyutikov, Maxim, Temim, Tea, & Comisso, Luca. Turbulent Model of Crab Nebula Radiation. United States. https://doi.org/10.3847/1538-4357/ab93c0
Luo, Yonggang, Lyutikov, Maxim, Temim, Tea, and Comisso, Luca. Tue . "Turbulent Model of Crab Nebula Radiation". United States. https://doi.org/10.3847/1538-4357/ab93c0. https://www.osti.gov/servlets/purl/1803039.
@article{osti_1803039,
title = {Turbulent Model of Crab Nebula Radiation},
author = {Luo, Yonggang and Lyutikov, Maxim and Temim, Tea and Comisso, Luca},
abstractNote = {We construct a turbulent model of the Crab Nebula's nonthermal emission. The present model resolves a number of long-standing problems of the Kennel–Coroniti model: (i) the sigma problem, (ii) the hard spectrum of radio electrons, (iii) the high peak energy of gamma-ray flares, (iv) and the spatial evolution of the infrared (IR) emission. The Nebula contains two populations of injected particles: Component-I, accelerated at the wind termination shock via the Fermi-I mechanism; and Component-II, accelerated in reconnecting turbulence in highly magnetized (σ >> 1) plasma in the central part of the Crab Nebula. The reconnecting turbulence in Component-II extends from radio to gamma-rays: it accelerates radio electrons with a hard spectrum, destroys the large-scale magnetic flux (and thus resolves the sigma problem), and occasionally produces gamma-ray flares (from the largest-scale reconnection events). The model reproduces the broadband spectrum of the Crab Nebula, from low-frequency synchrotron emission in radio to inverse-Compton emission at TeV energies, as well as the spatially resolved evolution of the spectral indices in the IR and optical bands.},
doi = {10.3847/1538-4357/ab93c0},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 896,
place = {United States},
year = {Tue Jun 23 00:00:00 EDT 2020},
month = {Tue Jun 23 00:00:00 EDT 2020}
}

Works referenced in this record:

Particle Acceleration in Relativistic Plasma Turbulence
journal, December 2018


General theory of the plasmoid instability
journal, October 2016

  • Comisso, L.; Lingam, M.; Huang, Y. -M.
  • Physics of Plasmas, Vol. 23, Issue 10
  • DOI: 10.1063/1.4964481

Constraints on particle acceleration sites in the Crab nebula from relativistic magnetohydrodynamic simulations
journal, April 2015

  • Olmi, B.; Del Zanna, L.; Amato, E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 3
  • DOI: 10.1093/mnras/stv498

Relativistic Reconnection and Particle Acceleration
journal, September 2012


Coherent structure formation and magnetic field line reconnection in magnetohydrodynamic turbulence
journal, August 1990

  • Carbone, V.; Veltri, P.; Mangeney, A.
  • Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 8
  • DOI: 10.1063/1.857598

Shedding new light on the Crab with polarized X-rays
journal, August 2017


Scaling of Magnetic Reconnection in Relativistic Collisionless Pair Plasmas
journal, March 2015


Characterization of the optical and X-ray properties of the north-western wisps in the Crab nebula
journal, June 2013

  • Schweizer, T.; Bucciantini, N.; Idec, W.
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 4
  • DOI: 10.1093/mnras/stt995

Particle Transport in Young Pulsar wind Nebulae
journal, May 2012


Magnetically striped relativistic magnetohydrodynamic winds - The Crab Nebula revisited
journal, January 1990

  • Coroniti, F. V.
  • The Astrophysical Journal, Vol. 349
  • DOI: 10.1086/168340

Polarized Gamma-Ray Emission from the Crab
journal, August 2008


Solution to the sigma problem of pulsar wind nebulae
journal, February 2013

  • Porth, Oliver; Komissarov, Serguei S.; Keppens, Rony
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 431, Issue 1
  • DOI: 10.1093/mnrasl/slt006

Reconnection in a Weakly Stochastic Field
journal, June 1999

  • Lazarian, A.; Vishniac, Ethan T.
  • The Astrophysical Journal, Vol. 517, Issue 2
  • DOI: 10.1086/307233

The Generation of Nonthermal Particles in the Relativistic Magnetic Reconnection of Pair Plasmas
journal, November 2001

  • Zenitani, S.; Hoshino, M.
  • The Astrophysical Journal, Vol. 562, Issue 1
  • DOI: 10.1086/337972

Diffusion in pulsar wind nebulae: an investigation using magnetohydrodynamic and particle transport models
journal, May 2016

  • Porth, O.; Vorster, M. J.; Lyutikov, M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 4
  • DOI: 10.1093/mnras/stw1152

On the mechanisms of gamma radiation in the Crab Nebula
journal, January 1996

  • Atoyan, A. M.; Aharonian, F. A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 278, Issue 2
  • DOI: 10.1093/mnras/278.2.525

Bremsstrahlung, Synchrotron Radiation, and Compton Scattering of High-Energy Electrons Traversing Dilute Gases
journal, April 1970


Far-infrared and submillimetre observations of the Crab nebula
journal, December 2004


Near infrared observations of the Crab nebula
journal, August 1979

  • Grasdalen, G. L.
  • Publications of the Astronomical Society of the Pacific, Vol. 91
  • DOI: 10.1086/130516

Gamma-Ray Activity in the crab Nebula: the Exceptional Flare of 2011 April
journal, March 2012


Gamma-Ray Flares from the Crab Nebula
journal, January 2011


GLOBAL SPECTRAL ENERGY DISTRIBUTION OF THE CRAB NEBULA IN THE PROSPECT OF THE PLANCK SATELLITE POLARIZATION CALIBRATION
journal, February 2010


Pulsar Wind Nebulae as Cosmic Pevatrons: A Current Sheet’s Tale
journal, May 2012


Relativistic Reconnection: an Efficient Source of Non-Thermal Particles
journal, February 2014


Potential drops above pulsar polar caps - Acceleration of nonneutral beams from the stellar surface
journal, October 1977

  • Fawley, W. M.; Arons, J.; Scharlemann, E. T.
  • The Astrophysical Journal, Vol. 217
  • DOI: 10.1086/155573

Calculated Spectrum of Inverse-Compton-Scattered Photons
journal, March 1968


Relativistic Magnetic Reconnection in Pair Plasmas and Its Astrophysical Applications
journal, January 2015


VHE γ‐Ray Observation of the Crab Nebula and its Pulsar with the MAGIC Telescope
journal, February 2008

  • Albert, J.; Aliu, E.; Anderhub, H.
  • The Astrophysical Journal, Vol. 674, Issue 2
  • DOI: 10.1086/525270

Formation of Hard Power Laws in the Energetic Particle Spectra Resulting from Relativistic Magnetic Reconnection
journal, October 2014


Explosive X-point collapse in relativistic magnetically dominated plasma
journal, December 2017

  • Lyutikov, Maxim; Sironi, Lorenzo; Komissarov, Serguei S.
  • Journal of Plasma Physics, Vol. 83, Issue 6
  • DOI: 10.1017/S0022377817000629

Modelling Jets, Tori and Flares in Pulsar Wind Nebulae
journal, March 2017


Interpreting Crab Nebula’s synchrotron spectrum: two acceleration mechanisms
journal, August 2019

  • Lyutikov, Maxim; Temim, Tea; Komissarov, Sergey
  • Monthly Notices of the Royal Astronomical Society, Vol. 489, Issue 2
  • DOI: 10.1093/mnras/stz2023

The Radio Spectral Index of the Crab Nebula
journal, November 1997

  • Bietenholz, M. F.; Kassim, N.; Frail, D. A.
  • The Astrophysical Journal, Vol. 490, Issue 1
  • DOI: 10.1086/304853

Particle Acceleration Zones above Pulsar Polar Caps: Electron and Positron Pair Formation Fronts
journal, November 1998

  • Harding, Alice K.; Muslimov, Alexander G.
  • The Astrophysical Journal, Vol. 508, Issue 1
  • DOI: 10.1086/306394

Faraday rotation and physical conditions in the Crab Nebula
journal, February 1991

  • Bietenholz, Michael F.; Kronberg, Philipp P.
  • The Astrophysical Journal, Vol. 368
  • DOI: 10.1086/169686

Discovery of Powerful Gamma-Ray Flares from the Crab Nebula
journal, January 2011


Plasmoids in relativistic reconnection, from birth to adulthood: first they grow, then they go
journal, July 2016

  • Sironi, Lorenzo; Giannios, Dimitrios; Petropoulou, Maria
  • Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 1
  • DOI: 10.1093/mnras/stw1620

The Interplay of Magnetically Dominated Turbulence and Magnetic Reconnection in Producing Nonthermal Particles
journal, November 2019


Turbulent Magnetic Relaxation in Pulsar Wind Nebulae
journal, September 2017


Gamma-Ray Observations of the Crab Nebula: A Study of the Synchro-Compton Spectrum
journal, January 1996

  • de Jager, O. C.; Harding, A. K.; Michelson, P. F.
  • The Astrophysical Journal, Vol. 457
  • DOI: 10.1086/176726

The electromagnetic model of gamma-ray bursts
journal, July 2006


Two-Fluid Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
journal, April 2009


Observation of polarized hard X-ray emission from the Crab by the PoGOLite Pathfinder
journal, December 2015

  • Chauvin, M.; Florén, H. -G.; Jackson, M.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 456, Issue 1
  • DOI: 10.1093/mnrasl/slv177

Compton scattering of relativistic electrons in compact X-ray sources
journal, October 1981

  • Aharonian, F. A.; Atoyan, A. M.
  • Astrophysics and Space Science, Vol. 79, Issue 2, p. 321-336
  • DOI: 10.1007/BF00649428

Magnetic Reconnection Onset via Disruption of a Forming Current Sheet by the Tearing Instability
journal, March 2016


Beaming and Rapid Variability of High-Energy Radiation from Relativistic pair Plasma Reconnection
journal, July 2012


Pair Production Multiplicities in Rotation‐powered Pulsars
journal, October 2001

  • Hibschman, Johann A.; Arons, Jonathan
  • The Astrophysical Journal, Vol. 560, Issue 2
  • DOI: 10.1086/323069

The Crab pulsar in the 0.75-30 MeV range as seen by CGRO COMPTEL: A coherent high-energy picture from soft X-rays up to high-energy
journal, November 2001


Young Core‐Collapse Supernova Remnants and Their Supernovae
journal, February 2005

  • Chevalier, Roger A.
  • The Astrophysical Journal, Vol. 619, Issue 2
  • DOI: 10.1086/426584

Reconnection in a Striped Pulsar Wind
journal, January 2001

  • Lyubarsky, Y.; Kirk, J. G.
  • The Astrophysical Journal, Vol. 547, Issue 1
  • DOI: 10.1086/318354

Particle Acceleration in the Driven Relativistic Reconnection
journal, August 2008

  • Lyubarsky, Yuri; Liverts, Michael
  • The Astrophysical Journal, Vol. 682, Issue 2
  • DOI: 10.1086/589640

Turbulent magnetic reconnection
journal, January 1986

  • Matthaeus, W. H.; Lamkin, S. L.
  • Physics of Fluids, Vol. 29, Issue 8
  • DOI: 10.1063/1.866004

The Origin of the Magnetic Field and Relativistic Particles in the Crab Nebula
journal, April 1974

  • Rees, M. J.; Gunn, J. E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 167, Issue 1
  • DOI: 10.1093/mnras/167.1.1

Pulsar-Wind Nebulae and Magnetar Outflows: Observations at Radio, X-Ray, and Gamma-Ray Wavelengths
journal, March 2017

  • Reynolds, Stephen P.; Pavlov, George G.; Kargaltsev, Oleg
  • Space Science Reviews, Vol. 207, Issue 1-4
  • DOI: 10.1007/s11214-017-0356-6

Spitzer Space Telescope Infrared Imaging and Spectroscopy of the Crab Nebula
journal, September 2006

  • Temim, Tea; Gehrz, Robert D.; Woodward, Charles E.
  • The Astronomical Journal, Vol. 132, Issue 4
  • DOI: 10.1086/507076

Source models with electron diffusion
journal, April 1972


Role of Magnetic Reconnection in Magnetohydrodynamic Turbulence
journal, June 2017


Three-dimensional magnetohydrodynamic simulations of the Crab nebula
journal, December 2013

  • Porth, Oliver; Komissarov, Serguei S.; Keppens, Rony
  • Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 1
  • DOI: 10.1093/mnras/stt2176

Observations of the Crab nebula with HESS
journal, September 2006

  • Aharonian, F.; Akhperjanian, A. G.; Bazer-Bachi, A. R.
  • Astronomy & Astrophysics, Vol. 457, Issue 3
  • DOI: 10.1051/0004-6361:20065351

Crab nebula gamma-ray flares as relativistic reconnection minijets: Crab flares as minijets
journal, October 2012


Generalized Fermi acceleration
journal, April 2019


Dynamics of Relativistic Reconnection
journal, June 2003

  • Lyutikov, Maxim; Uzdensky, Dmitri
  • The Astrophysical Journal, Vol. 589, Issue 2
  • DOI: 10.1086/374808

Synchrotron nebulae created by anisotropic magnetized pulsar winds
journal, April 2004


The Crab Nebula as a standard candle in very high-energy astrophysics
journal, November 2010


The Halo Occupation Distribution of obscured quasars: revisiting the unification model
journal, March 2018

  • Mitra, Kaustav; Chatterjee, Suchetana; DiPompeo, Michael A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 1
  • DOI: 10.1093/mnras/sty556

Kinetic Turbulence in Relativistic Plasma: From Thermal Bath to Nonthermal Continuum
journal, February 2017


Three-Dimensional Relativistic pair Plasma Reconnection with Radiative Feedback in the crab Nebula
journal, February 2014


Axially symmetric relativistic MHD simulations of Pulsar Wind Nebulae in Supernova Remnants: On the origin of torus and jet-like features
journal, June 2004


Observations of the Crab Nebula at λ = 5800 Å 2.2 μ, and 3.5 μ with a 4-MINUTE Beam
journal, April 1968

  • Ney, Edward P.; Stein, Wayne A.
  • The Astrophysical Journal, Vol. 152
  • DOI: 10.1086/180170

Nonthermal Particle Acceleration in 3D Relativistic Magnetic Reconnection in Pair Plasma
journal, July 2017


Particle acceleration in relativistic magnetic flux-merging events
journal, December 2017

  • Lyutikov, Maxim; Sironi, Lorenzo; Komissarov, Serguei S.
  • Journal of Plasma Physics, Vol. 83, Issue 6
  • DOI: 10.1017/S002237781700071X

Particle acceleration at astrophysical shocks: A theory of cosmic ray origin
journal, October 1987


Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime
journal, February 2018


The Extent of Power-Law Energy Spectra in Collisionless Relativistic Magnetic Reconnection in pair Plasmas
journal, December 2015


A high-sigma model of pulsar wind nebulae: High-σ model of pulsar wind nebulae
journal, April 2010


Synchrotron-Loss Spectral Breaks in Pulsar-Wind Nebulae and Extragalactic jets
journal, August 2009


Particle acceleration in explosive relativistic reconnection events and Crab Nebula gamma-ray flares
journal, April 2018

  • Lyutikov, Maxim; Komissarov, Serguei; Sironi, Lorenzo
  • Journal of Plasma Physics, Vol. 84, Issue 2
  • DOI: 10.1017/S0022377818000168

The Crab Nebula at 1.3 mm: Evidence for a new synchrotron component
journal, May 2002


Gamma-ray flares in the Crab Nebula: A case of relativistic reconnection?
journal, May 2014

  • Cerutti, B.; Werner, G. R.; Uzdensky, D. A.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4872024

On the relativistic magnetic reconnection
journal, March 2005


Confinement of the Crab pulsar's wind by its supernova remnant
journal, August 1984

  • Kennel, C. F.; Coroniti, F. V.
  • The Astrophysical Journal, Vol. 283
  • DOI: 10.1086/162356

Magnetohydrodynamic model of Crab nebula radiation
journal, August 1984

  • Kennel, C. F.; Coroniti, F. V.
  • The Astrophysical Journal, Vol. 283
  • DOI: 10.1086/162357

NIKA 150 GHz polarization observations of the Crab nebula and its spectral energy distribution
journal, August 2018


Confinement of the Crab Nebula with tangled magnetic field by its supernova remnant
journal, May 2018

  • Tanaka, Shuta J.; Toma, Kenji; Tominaga, Nozomu
  • Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 4
  • DOI: 10.1093/mnras/sty1356

Disruption of sheet-like structures in Alfvénic turbulence by magnetic reconnection
journal, March 2017

  • Mallet, A.; Schekochihin, A. A.; Chandran, B. D. G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 4
  • DOI: 10.1093/mnras/stx670

On the magnetohydrodynamic modelling of the Crab nebula radio emission
journal, January 2014

  • Olmi, B.; Del Zanna, L.; Amato, E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2
  • DOI: 10.1093/mnras/stt2308

Plasmoid Instability in Forming Current Sheets
journal, November 2017