Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD
Abstract
Observations of compact objects, in the form of radiation spectra, gravitational waves by LIGO/Virgo, and direct imaging with the Event Horizon Telescope, are currently the main information sources on plasma physics in extreme gravity. Modeling such physical phenomena Requires numerical methods that allow for the simulation of microscopic plasma dynamics in the presence of both strong gravity and electromagnetic fields. In Bacchini et al. (2018), we presented a detailed study of numerical techniques for the integration of free geodesic motion. In this paper, we extend the study by introducing electromagnetic forces in the simulation of charged particles in curved spacetimes. We extend the Hamiltonian energy-conserving method presented in Bacchini et al. to include the Lorentz force, and we test its performance compared to that of standard explicit Runge–Kutta and implicit midpoint rule schemes against analytic solutions. Then, we show the application of the numerical schemes to the integration of test particle trajectories in general relativistic magnetohydrodynamic (GRMHD) simulations by modifying the algorithms to handle grid-based electromagnetic fields. We test this approach by simulating ensembles of charged particles in a static GRMHD configuration obtained with the black hole accretion code (BHAC).
- Authors:
-
[1];
[2];
- Katholieke Univ. (KU) Leuven (Belgium)
- Katholieke Univ. (KU) Leuven (Belgium); Goethe Univ., Frankfurt (Germany)
- Goethe Univ., Frankfurt (Germany); Univ. of Amsterdam (The Netherlands)
- Columbia Univ., New York, NY (United States)
- Publication Date:
- Research Org.:
- Columbia Univ., New York, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Belgian Science Policy Office (BELSPO); European Research Council (ERC); National Aeronautics and Space Administration (NASA); National Science Foundation (NSF); Research Foundation Flanders (FWO); Flemish Government
- OSTI Identifier:
- 1612632
- Grant/Contract Number:
- SC0016542
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal. Supplement Series (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal. Supplement Series (Online); Journal Volume: 240; Journal Issue: 2; Journal ID: ISSN 1538-4365
- Publisher:
- American Astronomical Society/IOP
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; acceleration of particles; gravitation; methods: numerical; relativistic processes; stars: black holes
Citation Formats
Bacchini, F., Ripperda, B., Porth, O., and Sironi, L. Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD. United States: N. p., 2019.
Web. doi:10.3847/1538-4365/aafcb3.
Bacchini, F., Ripperda, B., Porth, O., & Sironi, L. Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD. United States. https://doi.org/10.3847/1538-4365/aafcb3
Bacchini, F., Ripperda, B., Porth, O., and Sironi, L. Fri .
"Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD". United States. https://doi.org/10.3847/1538-4365/aafcb3. https://www.osti.gov/servlets/purl/1612632.
@article{osti_1612632,
title = {Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD},
author = {Bacchini, F. and Ripperda, B. and Porth, O. and Sironi, L.},
abstractNote = {Observations of compact objects, in the form of radiation spectra, gravitational waves by LIGO/Virgo, and direct imaging with the Event Horizon Telescope, are currently the main information sources on plasma physics in extreme gravity. Modeling such physical phenomena Requires numerical methods that allow for the simulation of microscopic plasma dynamics in the presence of both strong gravity and electromagnetic fields. In Bacchini et al. (2018), we presented a detailed study of numerical techniques for the integration of free geodesic motion. In this paper, we extend the study by introducing electromagnetic forces in the simulation of charged particles in curved spacetimes. We extend the Hamiltonian energy-conserving method presented in Bacchini et al. to include the Lorentz force, and we test its performance compared to that of standard explicit Runge–Kutta and implicit midpoint rule schemes against analytic solutions. Then, we show the application of the numerical schemes to the integration of test particle trajectories in general relativistic magnetohydrodynamic (GRMHD) simulations by modifying the algorithms to handle grid-based electromagnetic fields. We test this approach by simulating ensembles of charged particles in a static GRMHD configuration obtained with the black hole accretion code (BHAC).},
doi = {10.3847/1538-4365/aafcb3},
journal = {The Astrophysical Journal. Supplement Series (Online)},
number = 2,
volume = 240,
place = {United States},
year = {Fri Feb 15 00:00:00 EST 2019},
month = {Fri Feb 15 00:00:00 EST 2019}
}
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Nonthermal Particle Acceleration in 3D Relativistic Magnetic Reconnection in Pair Plasma
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The Radiative Efficiency and Spectra of Slowly Accreting Black Holes from Two-Temperature GRRMHD Simulations
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First-Principles Plasma Simulations of Black-Hole Jet Launching
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Circular orbits and related quasiharmonic oscillatory motion of charged particles around weakly magnetized rotating black holes
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Near-horizon Structure of Escape Zones of Electrically Charged Particles around Weakly Magnetized Rotating Black Hole
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Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. I. Time-like and Null Geodesics
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- The Astrophysical Journal Supplement Series, Vol. 237, Issue 1
The Radiative Efficiency and Spectra of Slowly Accreting Black Holes from Two-temperature GRRMHD Simulations
journal, July 2017
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- The Astrophysical Journal, Vol. 844, Issue 2
Event-horizon-scale structure in the supermassive black hole candidate at the Galactic Centre
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Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
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- Kopáček, Ondřej; Karas, Vladimír; Kovář, Jiří
- arXiv
Synchrotron radiation of self-collimating relativistic MHD jets
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- Porth, Oliver; Fendt, Christian; Meliani, Zakaria
- arXiv
Charged particle motion in Kerr-Newmann space-times
text, January 2013
- Hackmann, Eva; Xu, Hongxiao
- arXiv
Coupled jet-disk model for Sgr A*: explaining the flat-spectrum radio core with GRMHD simulations of jets
text, January 2013
- Moscibrodzka, M.; Falcke, H.
- arXiv
Energy conserving schemes for the simulation of musical instrument contact dynamics
text, January 2015
- Chatziioannou, Vasileios; van Walstijn, Maarten
- arXiv
IllinoisGRMHD: An Open-Source, User-Friendly GRMHD Code for Dynamical Spacetimes
text, January 2015
- Etienne, Zachariah B.; Paschalidis, Vasileios; Haas, Roland
- arXiv
bhlight: General Relativistic Radiation Magnetohydrodynamics with Monte Carlo Transport
preprint, January 2015
- Ryan, Benjamin R.; Dolence, Joshua C.; Gammie, Charles F.
- arXiv
Ab-initio pulsar magnetosphere: the role of general relativity
text, January 2015
- Philippov, Alexander A.; Cerutti, Benoît; Tchekhovskoy, Alexander
- arXiv
rHARM: Accretion and Ejection in Resistive GR-MHD
text, January 2016
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Works referencing / citing this record:
General-relativistic Resistive Magnetohydrodynamics with Robust Primitive-variable Recovery for Accretion Disk Simulations
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Very-high-energy Emission from Magnetic Reconnection in the Radiative-inefficient Accretion Flow of SgrA*
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The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
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The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
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A Novel Energy-conserving Scheme for Eight-dimensional Hamiltonian Problems
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The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
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