Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium

We model the transport and spectral evolution of 1–100 GeV cosmic-ray electrons (CREs) in TIGRESS magnetohydrodynamic simulations of the magnetized, multiphase interstellar medium. We postprocess a kpc-sized galactic disk patch representative of the solar neighborhood using a two-moment method for c...

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Main Authors: Nora B. Linzer, Lucia Armillotta, Eve C. Ostriker, Eliot Quataert
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ade5ad
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author Nora B. Linzer
Lucia Armillotta
Eve C. Ostriker
Eliot Quataert
author_facet Nora B. Linzer
Lucia Armillotta
Eve C. Ostriker
Eliot Quataert
author_sort Nora B. Linzer
collection DOAJ
description We model the transport and spectral evolution of 1–100 GeV cosmic-ray electrons (CREs) in TIGRESS magnetohydrodynamic simulations of the magnetized, multiphase interstellar medium. We postprocess a kpc-sized galactic disk patch representative of the solar neighborhood using a two-moment method for cosmic ray (CR) transport that includes advection, streaming, and diffusion. The diffusion coefficient is set by balancing wave growth via the CR streaming instability against wave damping (nonlinear Landau and ion–neutral collisions), depending on local gas and CR properties. Implemented energy loss mechanisms include synchrotron, inverse Compton, ionization, and bremsstrahlung. We evaluate CRE losses by different mechanisms as a function of energy and distance from the midplane, and compare loss timescales to transport and diffusion timescales. This comparison shows that CRE spectral steepening above p = 1 GeV c ^−1 is due to a combination of energy-dependent transport and losses. Our evolved CRE spectra are consistent with direct observations in the solar neighborhood, with a spectral index that steepens from an injected value of −2.3 to an energy-dependent value between −2.7 and −3.3. We also show that the steepening is independent of the injection spectrum. Finally, we present potential applications of our models, including to the production of synthetic synchrotron emission. Our simulations demonstrate that the CRE spectral slope can be accurately recovered from pairs of radio observations in the range 1.5–45 GHz.
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spelling doaj-art-e43ee63743a44b5f9dc3ce35faeb40292025-08-20T02:45:43ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01988221410.3847/1538-4357/ade5adModeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar MediumNora B. Linzer0https://orcid.org/0000-0001-8840-2538Lucia Armillotta1https://orcid.org/0000-0002-5708-1927Eve C. Ostriker2https://orcid.org/0000-0002-0509-9113Eliot Quataert3https://orcid.org/0000-0001-9185-5044Department of Astrophysical Sciences, Princeton University , 4 Ivy Lane, Princeton, NJ 08544, USA ; nlinzer@princeton.eduDepartment of Astrophysical Sciences, Princeton University , 4 Ivy Lane, Princeton, NJ 08544, USA ; nlinzer@princeton.edu; INAF Arcetri Astrophysical Observatory , Largo Enrico Fermi 5, Firenze, 50125, ItalyDepartment of Astrophysical Sciences, Princeton University , 4 Ivy Lane, Princeton, NJ 08544, USA ; nlinzer@princeton.edu; Institute for Advanced Study , 1 Einstein Drive, Princeton, NJ 08540, USADepartment of Astrophysical Sciences, Princeton University , 4 Ivy Lane, Princeton, NJ 08544, USA ; nlinzer@princeton.eduWe model the transport and spectral evolution of 1–100 GeV cosmic-ray electrons (CREs) in TIGRESS magnetohydrodynamic simulations of the magnetized, multiphase interstellar medium. We postprocess a kpc-sized galactic disk patch representative of the solar neighborhood using a two-moment method for cosmic ray (CR) transport that includes advection, streaming, and diffusion. The diffusion coefficient is set by balancing wave growth via the CR streaming instability against wave damping (nonlinear Landau and ion–neutral collisions), depending on local gas and CR properties. Implemented energy loss mechanisms include synchrotron, inverse Compton, ionization, and bremsstrahlung. We evaluate CRE losses by different mechanisms as a function of energy and distance from the midplane, and compare loss timescales to transport and diffusion timescales. This comparison shows that CRE spectral steepening above p = 1 GeV c ^−1 is due to a combination of energy-dependent transport and losses. Our evolved CRE spectra are consistent with direct observations in the solar neighborhood, with a spectral index that steepens from an injected value of −2.3 to an energy-dependent value between −2.7 and −3.3. We also show that the steepening is independent of the injection spectrum. Finally, we present potential applications of our models, including to the production of synthetic synchrotron emission. Our simulations demonstrate that the CRE spectral slope can be accurately recovered from pairs of radio observations in the range 1.5–45 GHz.https://doi.org/10.3847/1538-4357/ade5adCosmic raysMagnetohydrodynamicsInterstellar medium
spellingShingle Nora B. Linzer
Lucia Armillotta
Eve C. Ostriker
Eliot Quataert
Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium
The Astrophysical Journal
Cosmic rays
Magnetohydrodynamics
Interstellar medium
title Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium
title_full Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium
title_fullStr Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium
title_full_unstemmed Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium
title_short Modeling Cosmic-ray Electron Spectra and Synchrotron Emission in the Multiphase Interstellar Medium
title_sort modeling cosmic ray electron spectra and synchrotron emission in the multiphase interstellar medium
topic Cosmic rays
Magnetohydrodynamics
Interstellar medium
url https://doi.org/10.3847/1538-4357/ade5ad
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