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Title: The steady growth of the high-energy spectral cut-off in relativistic magnetic reconnection

Journal Article · · Monthly Notices of the Royal Astronomical Society

Magnetic reconnection is invoked as an efficient particle accelerator in a variety of astrophysical sources of non-thermal high-energy radiation. With large-scale two-dimensional particle-in-cell simulations of relativistic reconnection (i.e. with magnetization σ >> 1) in pair plasmas, we study the long-term evolution of the power-law slope and high-energy cut-off of the spectrum of accelerated particles. We find that the high-energy spectral cut-off does not saturate at γcut ~ 4σ, as claimed by earlier studies, but it steadily grows with time as long as the reconnection process stays active. At late times, the cut-off scales approximately as γcut ∝√t, regardless of the flow magnetization and initial temperature. We show that the particles dominating the high-energy spectral cut-off reside in plasmoids, and in particular in a strongly magnetized ring around the plasmoid core. The growth of their energy is driven by the increase in the local field strength, coupled with the conservation of the first adiabatic invariant. We also find that the power-law slope of the spectrum (p = -d log N/d log γ) evolves with time. For σ ≳ 10, the spectrum is hard at early times (p ≲ 2), but it tends to asymptote to p ~ 2; the steepening of the power-law slope allows the spectral cut-off to extend to higher and higher energies, without violating the fixed energy budget of the system. Our results demonstrate that relativistic reconnection is a viable candidate for accelerating the high-energy particles emitting in relativistic astrophysical sources.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Columbia Univ., New York, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0016542
OSTI ID:
1543972
Journal Information:
Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 4; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 48 works
Citation information provided by
Web of Science

References (96)

The energetics of relativistic magnetic reconnection: ion-electron repartition and particle distribution hardness journal October 2014
Fast collisionless reconnection in electron-positron plasmas journal May 2007
General theory of the plasmoid instability journal October 2016
Photohadronic origin of $\boldsymbol {\gamma }$-ray BL Lac emission: implications for IceCube neutrinos journal March 2015
Particle Acceleration in Relativistic Magnetized Collisionless Electron-Ion Shocks journal December 2010
Scaling of Magnetic Reconnection in Relativistic Collisionless Pair Plasmas journal March 2015
The power of blazar jets: The power of blazar jets journal February 2008
Magnetic reconnection at the termination shock in a striped pulsar wind journal August 2007
Fast Magnetic Reconnection and Particle Acceleration in Relativistic Low-Density Electron-Positron Plasmas Without Guide Field journal April 2012
Electron and Proton Acceleration in Trans-relativistic Magnetic Reconnection: Dependence on Plasma Beta and Magnetization journal July 2018
Ab Initio Pulsar Magnetosphere: Three-Dimensional Particle-In-Cell Simulations of Axisymmetric Pulsars journal April 2014
A model of gamma-ray bursts journal October 1994
The Generation of Nonthermal Particles in the Relativistic Magnetic Reconnection of Pair Plasmas journal November 2001
Blazar flares powered by plasmoids in relativistic reconnection journal July 2016
On the nature of non-thermal radiation from cosmological  -ray bursters journal April 1994
Dissipation in relativistic pair-plasma reconnection journal November 2007
Physics of the saturation of particle acceleration in relativistic magnetic reconnection journal February 2018
Gamma-Ray Activity in the crab Nebula: the Exceptional Flare of 2011 April journal March 2012
Magnetohydrodynamic-Particle-In-Cell Method for Coupling Cosmic rays with a Thermal Plasma: Application to Non-Relativistic Shocks journal August 2015
Efficient acceleration and radiation in Poynting flux powered GRB outflows journal August 2002
Electron acceleration from contracting magnetic islands during reconnection journal October 2006
Relativistic Reconnection: an Efficient Source of Non-Thermal Particles journal February 2014
Formation of very hard Gamma-Ray Spectra of Blazars in Leptonic Models journal September 2011
Reconnection-driven plasmoids in blazars: fast flares on a slow envelope journal February 2013
An Exceptional Very High Energy Gamma-Ray Flare of PKS 2155-304 journal July 2007
Formation of Hard Power Laws in the Energetic Particle Spectra Resulting from Relativistic Magnetic Reconnection journal October 2014
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media journal May 1966
Plasmoids in relativistic reconnection, from birth to adulthood: first they grow, then they go journal July 2016
UHECRs from magnetic reconnection in relativistic jets: UHECRs from magnetic reconnection in jets journal August 2010
Instability of current sheets and formation of plasmoid chains journal October 2007
Very hard gamma-ray emission from a flare of Mrk 501 journal April 2012
Fast Magnetic Reconnection in the Plasmoid-Dominated Regime journal December 2010
The Role of the Guide Field in Relativistic Pair Plasma Reconnection journal April 2008
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
Prompt GRB emission from gradual energy dissipation journal January 2008
Deceleration of a Relativistic, Photon‐rich Shell: End of Preacceleration, Damping of Magnetohydrodynamic Turbulence, and the Emission Mechanism of Gamma‐Ray Bursts journal November 2006
On the elimination of numerical Cerenkov radiation in PIC simulations journal December 2004
Reconnection in a Striped Pulsar Wind journal January 2001
Particle Acceleration in the Driven Relativistic Reconnection journal August 2008
A flux rope Network and Particle Acceleration in Three-Dimensional Relativistic Magnetic Reconnection journal August 2013
Particle Acceleration and Magnetic Dissipation in Relativistic Current Sheet of Pair Plasmas journal November 2007
Particle Acceleration and Plasma Dynamics During Magnetic Reconnection in the Magnetically Dominated Regime journal June 2015
Relativistic Kinetic Reconnection as the Possible Source Mechanism for High Variability and Flat Spectra in Extragalactic Radio Sources journal March 2004
The termination shock in a striped pulsar wind journal October 2003
On the Distribution of Particle Acceleration Sites in Plasmoid-Dominated Relativistic Magnetic Reconnection journal December 2015
Particle-in-cell simulations of shock-driven reconnection in relativistic striped winds journal January 2012
Acceleration of Particles at the Termination Shock of a Relativistic Striped wind journal October 2011
Dissipation of the striped pulsar wind journal November 2017
Fast TeV variability from misaligned minijets in the jet of M87 journal March 2010
Three-Dimensional Evolution of a Relativistic Current Sheet: Triggering of Magnetic Reconnection by the Guide Field journal August 2005
Fast TeV variability in blazars: jets in a jet journal May 2009
Dissipation in Poynting‐Flux–dominated Flows: The σ‐Problem of the Crab Pulsar Wind journal July 2003
Relativistic jets shine through shocks or magnetic reconnection? journal April 2015
Three-Dimensional Relativistic pair Plasma Reconnection with Radiative Feedback in the crab Nebula journal February 2014
Particle acceleration during magnetic reconnection in a low-beta pair plasma journal May 2016
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
Electron and Proton Heating in Transrelativistic Magnetic Reconnection journal November 2017
The Maximum Energy of Accelerated Particles in Relativistic Collisionless Shocks journal June 2013
Non-thermal particle acceleration in collisionless relativistic electron–proton reconnection journal September 2017
The Extent of Power-Law Energy Spectra in Collisionless Relativistic Magnetic Reconnection in pair Plasmas journal December 2015
Finite-Resistivity Instabilities of a Sheet Pinch journal January 1963
Computing the reconnection rate in turbulent kinetic layers by using electron mixing to identify topology journal May 2014
Beaming of Particles and Synchrotron Radiation in Relativistic Magnetic Reconnection journal August 2016
On the relativistic magnetic reconnection journal March 2005
Particle Acceleration in Relativistic Magnetized Collisionless pair Shocks: Dependence of Shock Acceleration on Magnetic Obliquity journal June 2009
Particle energization in 3D magnetic reconnection of relativistic pair plasmas journal May 2011
Large scale magnetic fields and their dissipation in GRB fireballs journal April 2001
The Termination Shock in a Striped Pulsar Wind journal January 2004
Magnetic Reconnection at the Termination Shock of a Striped Pulsar wind journal September 2008
The termination shock in a striped pulsar wind journal January 2005
Particle acceleration in the driven relativistic reconnection text January 2008
Fast TeV variability in blazars: jets in a jet text January 2009
Fast TeV variability from misaligned minijets in the jet of M87 text January 2009
Particle Energization in 3D Magnetic Reconnection of Relativistic Pair Plasmas text January 2010
Fast magnetic reconnection in the plasmoid-dominated regime text January 2010
Beaming and rapid variability of high-energy radiation from relativistic pair plasma reconnection text January 2012
Particle-in-cell simulations of shock-driven reconnection in relativistic striped winds text January 2012
The energetics of relativistic magnetic reconnection: ion-electron repartition and particle distribution hardness text January 2014
Formation of Hard Power-laws in the Energetic Particle Spectra Resulting from Relativistic Magnetic Reconnection text January 2014
The extent of power-law energy spectra in collisionless relativistic magnetic reconnection in pair plasmas text January 2014
Magnetohydrodynamic-Particle-in-Cell Method for Coupling Cosmic Rays with a Thermal Plasma: Application to Non-relativistic Shocks text January 2014
Particle Acceleration during Magnetic Reconnection in a Low-beta Pair Plasma text January 2016
Plasmoids in relativistic reconnection, from birth to adulthood: first they grow, then they go text January 2016
General Theory of the Plasmoid Instability text January 2016
Nonthermal Particle Acceleration in 3D Relativistic Magnetic Reconnection in Pair Plasma text January 2017
Electron and proton heating in trans-relativistic magnetic reconnection text January 2017
Dissipation of the striped pulsar wind text January 2017
Physics of the saturation of particle acceleration in relativistic magnetic reconnection text January 2017
Electron and Proton Acceleration in Trans-Relativistic Magnetic Reconnection: Dependence on Plasma Beta and Magnetization text January 2018
Particle acceleration in relativistic magnetic flux-merging events text January 2018
Large scale magnetic fields and their dissipation in GRB fireballs text January 2000
Reconnection in a striped pulsar wind text January 2000
Dissipation in Poynting-flux Dominated Flows: the Sigma-Problem of the Crab Pulsar Wind text January 2003
Three Dimensional Evolution of a Relativistic Current Sheet : Triggering of Magnetic Reconnection by the Guide Field text January 2005

Cited By (8)

Effects of Synchrotron Cooling and Pair Production on Collisionless Relativistic Reconnection journal May 2019
Very-high-energy Emission from Magnetic Reconnection in the Radiative-inefficient Accretion Flow of SgrA* journal June 2019
Relativistic Magnetic Reconnection in Electron–Positron–Proton Plasmas: Implications for Jets of Active Galactic Nuclei journal July 2019
“Double-tracking” Characteristics of the Spectral Evolution of GRB 131231A: Synchrotron Origin? journal October 2019
The Interplay of Magnetically Dominated Turbulence and Magnetic Reconnection in Producing Nonthermal Particles journal November 2019
Unraveling the Complex Behavior of Mrk 421 with Simultaneous X-Ray and VHE Observations during an Extreme Flaring Activity in 2013 April journal June 2020
Determining the Dominant Acceleration Mechanism during Relativistic Magnetic Reconnection in Large-scale Systems journal July 2019
Relativistic Magnetic Reconnection in Electron-Positron-Proton Plasmas: Implications for Jets of Active Galactic Nuclei text January 2019

Figures / Tables (16)