@ARTICLE{BS21,
       author = {{Brandenburg}, Axel and {Sharma}, Ramkishor},
        title = "{Simulating Relic Gravitational Waves from Inflationary Magnetogenesis}",
      journal = {\apj},
     keywords = {Magnetohydrodynamics, Astrophysical fluid dynamics, 1964, 101, Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology},
         year = 2021,
        month = oct,
       volume = {920},
       number = {1},
          eid = {26},
        pages = {26},
          doi = {10.3847/1538-4357/ac1599},
archivePrefix = {arXiv},
       eprint = {2106.03857},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2021ApJ...920...26B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BHS21,
       author = {{Brandenburg}, Axel and {He}, Yutong and {Sharma}, Ramkishor},
        title = "{Simulations of Helical Inflationary Magnetogenesis and Gravitational Waves}",
      journal = {\apj},
     keywords = {678, Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology},
         year = 2021,
        month = dec,
       volume = {922},
       number = {2},
          eid = {192},
        pages = {192},
          doi = {10.3847/1538-4357/ac20d9},
archivePrefix = {arXiv},
       eprint = {2107.12333},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2021ApJ...922..192B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BNST95,
       author = {{Brandenburg}, Axel and {Nordlund}, Ake and {Stein}, Robert F. and {Torkelsson}, Ulf},
        title = "{Dynamo-generated Turbulence and Large-Scale Magnetic Fields in a Keplerian Shear Flow}",
      journal = {\apj},
     keywords = {ACCRETION, ACCRETION DISKS, MAGNETOHYDRODYNAMICS: MHD, SHOCK WAVES, TURBULENCE},
         year = 1995,
        month = jun,
       volume = {446},
        pages = {741},
          doi = {10.1086/175831},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1995ApJ...446..741B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BKT15,
       author = {{Brandenburg}, Axel and {Kahniashvili}, Tina and {Tevzadze}, Alexander G.},
        title = "{Nonhelical Inverse Transfer of a Decaying Turbulent Magnetic Field}",
      journal = {\prl},
     keywords = {94.05.Lk, 96.50.Tf, Turbulence, MHD waves, plasma waves turbulence, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - Solar and Stellar Astrophysics, Physics - Plasma Physics},
         year = 2015,
        month = feb,
       volume = {114},
       number = {7},
          eid = {075001},
        pages = {075001},
          doi = {10.1103/PhysRevLett.114.075001},
archivePrefix = {arXiv},
       eprint = {1404.2238},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2015PhRvL.114g5001B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BK17,
   author = {{Brandenburg}, A. and {Kahniashvili}, T.},
    title = "{Classes of Hydrodynamic and Magnetohydrodynamic Turbulent Decay}",
  journal = "Phys. Rev. Lett.",
archivePrefix = "arXiv",
   eprint = {1607.01360},
 primaryClass = "physics.flu-dyn",
     year = 2017,
    month = feb,
   volume = 118,
      eid = {055102},
    pages = {055102},
      doi = {10.1103/PhysRevLett.118.055102},
   adsurl = {http://adsabs.harvard.edu/abs/2017PhRvL.118e5102B},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{CHB01,
  title = {Inverse cascade in decaying three-dimensional magnetohydrodynamic turbulence},
  author = {Christensson, Mattias and Hindmarsh, Mark and Brandenburg, Axel},
  journal = "Phys. Rev. E",
  volume = {64},
  issue = {5},
  pages = {056405},
  numpages = {6},
  year = {2001},
  month = {Oct},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevE.64.056405},
  url = {https://link.aps.org/doi/10.1103/PhysRevE.64.056405}
}

@ARTICLE{BJ04,
       author = {{Banerjee}, Robi and {Jedamzik}, Karsten},
        title = "{Evolution of cosmic magnetic fields: From the very early Universe, to recombination, to the present}",
      journal = {\prd},
     keywords = {98.62.En, 98.65.Cw, 98.80.Cq, Electric and magnetic fields, Galaxy clusters, Particle-theory and field-theory models of the early Universe, Astrophysics},
         year = 2004,
        month = dec,
       volume = {70},
       number = {12},
          eid = {123003},
        pages = {123003},
          doi = {10.1103/PhysRevD.70.123003},
archivePrefix = {arXiv},
       eprint = {astro-ph/0410032},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2004PhRvD..70l3003B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Kahn+13,
   author = {{Kahniashvili}, T. and {Tevzadze}, A.~G. and {Brandenburg}, A. and
        {Neronov}, A.},
    title = "{Evolution of primordial magnetic fields from phase transitions}",
  journal = {\prd},
archivePrefix = "arXiv",
   eprint = {1212.0596},
 primaryClass = "astro-ph.CO",
 keywords = {Background radiations, Cosmology},
     year = 2013,
    month = apr,
   volume = 87,
      eid = {083007},
    pages = {083007},
      doi = {10.1103/PhysRevD.87.083007},
   adsurl = {http://adsabs.harvard.edu/abs/2013PhRvD..87h3007K},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{HS22,
       author = {{Hosking}, David N. and {Schekochihin}, Alexander A.},
        title = "{Cosmic-void observations reconciled with primordial magnetogenesis}",
      journal = {arXiv e-prints},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - High Energy Astrophysical Phenomena, Physics - Fluid Dynamics},
         year = 2022,
        month = mar,
          eid = {arXiv:2203.03573},
        pages = {arXiv:2203.03573},
archivePrefix = {arXiv},
       eprint = {2203.03573},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2022arXiv220303573H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Tobias21,
       author = {{Tobias}, S.~M.},
        title = "{The turbulent dynamo}",
      journal = {J. Fluid Mech.},
     keywords = {Physics - Fluid Dynamics, Astrophysics - Earth and Planetary Astrophysics, Astrophysics - Solar and Stellar Astrophysics, Physics - Plasma Physics},
         year = 2021,
        month = apr,
       volume = {912},
          eid = {P1},
        pages = {P1},
          doi = {10.1017/jfm.2020.1055},
archivePrefix = {arXiv},
       eprint = {1907.03685},
 primaryClass = {physics.flu-dyn},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2021JFM...912P...1T},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@BOOK{Mof78,
  author = {{Moffatt}, H.~K.},
  title = "{Magnetic Field Generation in Electrically Conducting Fluids}",
  publisher = {Cambridge University Press},
  year = 1978,
  address =  {Cambridge}
}

@BOOK{Par79,
   author = {{Parker}, E.~N.},
    title = "{Cosmical Magnetic Fields: Their Origin and Their Activity}",
 keywords = {COSMOLOGY, FIELD THEORY (PHYSICS), INTERPLANETARY MAGNETIC FIELDS, DYNAMIC CHARACTERISTICS, DYNAMO THEORY, ELECTRIC FIELDS, EQUILIBRIUM, INTERSTELLAR MAGNETIC FIELDS, MAGNETIC DISTURBANCES, MAGNETIC FIELD CONFIGURATIONS, MAGNETIC FLUX, PLANETARY MAGNETIC FIELDS, SOLAR MAGNETIC FIELD, STELLAR MAGNETIC FIELDS, TUBES, TURBULENT FLOW},
booktitle = {Oxford, Clarendon Press; New York, Oxford Univ.\  Press, 1979, 858 p.},
publisher = {Clarendon Press},
address = {Oxford},
     year = 1979,
   adsurl = {http://adsabs.harvard.edu/abs/1979cmft.book.....P},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@BOOK{KR80,
   author = {{Krause}, F. and {R{\"a}dler}, K.-H.},
    title = "{Mean-Field Magnetohydrodynamics and Dynamo Theory}",
booktitle = {Oxford: Pergamon Press, 1980},
publisher = {Pergamon Press},
address = {Oxford},
     year = 1980,
   adsurl = {http://adsabs.harvard.edu/abs/1980mfmd.book.....K},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@BOOK{ZRS83,
    title = "{Magnetic Fields in Astrophysics}",
 keywords = {Astrophysics, Dynamo Theory, Interstellar Magnetic Fields, Magnetic Fields, Magnetohydrodynamics, Stellar Magnetic Fields, Accretion Disks, Black Holes (Astronomy), Cosmology, Faraday Effect, Magnetic Clouds, Magnetic Monopoles, Magnetohydrodynamic Flow, Magnetohydrodynamic Turbulence, Milky Way Galaxy, Pulsars, Rotating Fluids, Solar Magnetic Field, Stellar Activity, Stellar Evolution, Topology, Zeeman Effect},
booktitle = {New York, Gordon and Breach Science Publishers (The Fluid Mechanics of Astrophysics and Geophysics. Vol. 3), 1983},
publisher = {Gordon and Breach},
address = {New York},
     year = 1983,
   author = {{Zeldovich}, {\relax Ya}.~B. and {Ruzmaikin}, A.~A. and {Sokoloff}, D.~D.
        },
   adsurl = {http://adsabs.harvard.edu/abs/1983flma....3.....Z},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Bra14,
       author = {{Brandenburg}, Axel},
        title = "{Magnetic Prandtl Number Dependence of the Kinetic-to-magnetic Dissipation Ratio}",
      journal = {\apj},
     keywords = {accretion, accretion disks, hydrodynamics, magnetohydrodynamics: MHD, shock waves, turbulence, Astrophysics - Solar and Stellar Astrophysics, Physics - Fluid Dynamics},
         year = 2014,
        month = aug,
       volume = {791},
       number = {1},
          eid = {12},
        pages = {12},
          doi = {10.1088/0004-637X/791/1/12},
archivePrefix = {arXiv},
       eprint = {1404.6964},
 primaryClass = {astro-ph.SR},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2014ApJ...791...12B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BR19,
       author = {{Brandenburg}, Axel and {Rempel}, Matthias},
        title = "{Reversed Dynamo at Small Scales and Large Magnetic Prandtl Number}",
      journal = {\apj},
     keywords = {dynamo, hydrodynamics, magnetohydrodynamics: MHD, Sun: corona, turbulence, Astrophysics - Solar and Stellar Astrophysics},
         year = 2019,
        month = jul,
       volume = {879},
          eid = {57},
        pages = {57},
          doi = {10.3847/1538-4357/ab24bd},
archivePrefix = {arXiv},
       eprint = {1903.11869},
 primaryClass = {astro-ph.SR},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019ApJ...879...57B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Mahajan+05,
       author = {{Mahajan}, Swadesh M. and {Shatashvili}, Nana L. and {Mikeladze}, Solomon V. and {Sigua}, Ketevan I.},
        title = "{Acceleration of Plasma Flows Due to Reverse Dynamo Mechanism}",
      journal = {\apj},
     keywords = {Acceleration of Particles, Instabilities, ISM: Magnetic Fields, Magnetic Fields, Magnetohydrodynamics: MHD, Stars: Atmospheres, Stars: Chromospheres, Stars: Coronae, Stars: Magnetic Fields, Astrophysics, Physics - Plasma Physics},
         year = 2005,
        month = nov,
       volume = {634},
       number = {1},
        pages = {419-425},
          doi = {10.1086/432867},
archivePrefix = {arXiv},
       eprint = {astro-ph/0503431},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2005ApJ...634..419M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{KA14,
       author = {{Kobayashi}, Takeshi and {Afshordi}, Niayesh},
        title = "{Schwinger effect in 4D de Sitter space and constraints on magnetogenesis in the early universe}",
      journal = {J. High Energy Phys.},
     keywords = {Cosmology of Theories beyond the SM, Nonperturbative Effects, Electromagnetic Processes and Properties, High Energy Physics - Theory, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - High Energy Astrophysical Phenomena, High Energy Physics - Phenomenology},
         year = 2014,
        month = oct,
       volume = {2014},
          eid = {166},
        pages = {166},
          doi = {10.1007/JHEP10(2014)166},
archivePrefix = {arXiv},
       eprint = {1408.4141},
 primaryClass = {hep-th},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2014JHEP...10..166K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Ratra92,
       author = {{Ratra}, Bharat},
        title = "{Cosmological ``Seed'' Magnetic Field from Inflation}",
      journal = {\apjl},
     keywords = {Big Bang Cosmology, Computational Astrophysics, Galactic Evolution, Stellar Magnetic Fields, Astronomical Models, Galactic Rotation, Gravitational Collapse, Astrophysics, COSMOLOGY: EARLY UNIVERSE, COSMOLOGY: THEORY},
         year = 1992,
        month = may,
       volume = {391},
        pages = {L1},
          doi = {10.1086/186384},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1992ApJ...391L...1R},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Mukhanov09,
   author = {{Demozzi}, V. and {Mukhanov}, V. and {Rubinstein}, H.},
    title = "{Magnetic fields from inflation?}",
  journal = {J. Cosmol. Astropart. Phys.},
archivePrefix = "arXiv",
   eprint = {0907.1030},
 primaryClass = "astro-ph.CO",
     year = 2009,
    month = aug,
   volume = 8,
      eid = {025},
    pages = {025},
      doi = {10.1088/1475-7516/2009/08/025},
   adsurl = {http://adsabs.harvard.edu/abs/2009JCAP...08..025D},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Ferreira+13,
       author = {{Ferreira}, Ricardo J.~Z. and {Jain}, Rajeev Kumar and {Sloth}, Martin S.},
        title = "{Inflationary magnetogenesis without the strong coupling problem}",
      journal = {\jcap},
     keywords = {Astrophysics - Cosmology and Extragalactic Astrophysics, High Energy Physics - Phenomenology, High Energy Physics - Theory},
         year = 2013,
        month = oct,
       volume = {2013},
       number = {10},
          eid = {004},
        pages = {004},
          doi = {10.1088/1475-7516/2013/10/004},
archivePrefix = {arXiv},
       eprint = {1305.7151},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2013JCAP...10..004F},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Kobayashi+Sloth19,
       author = {{Kobayashi}, Takeshi and {Sloth}, Martin S.},
        title = "{Early cosmological evolution of primordial electromagnetic fields}",
      journal = {\prd},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Phenomenology, High Energy Physics - Theory},
         year = 2019,
        month = jul,
       volume = {100},
       number = {2},
          eid = {023524},
        pages = {023524},
          doi = {10.1103/PhysRevD.100.023524},
archivePrefix = {arXiv},
       eprint = {1903.02561},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019PhRvD.100b3524K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Broderick+12,
       author = {{Broderick}, Avery E. and {Chang}, Philip and {Pfrommer}, Christoph},
        title = "{The Cosmological Impact of Luminous TeV Blazars. I. Implications of Plasma Instabilities for the Intergalactic Magnetic Field and Extragalactic Gamma-Ray Background}",
      journal = {\apj},
     keywords = {BL Lacertae objects: general, gamma rays: general, instabilities, magnetic fields, plasmas, radiation mechanisms: non-thermal, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - High Energy Astrophysical Phenomena},
         year = 2012,
        month = jun,
       volume = {752},
       number = {1},
          eid = {22},
        pages = {22},
          doi = {10.1088/0004-637X/752/1/22},
archivePrefix = {arXiv},
       eprint = {1106.5494},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2012ApJ...752...22B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Broderick+18,
    author = "Broderick, Avery E. and Tiede, Paul and Chang, Philip and Lamberts, Astrid and Pfrommer, Christoph and Puchwein, Ewald and Shalaby, Mohamad and Werhahn, Maria",
    title = "{Missing Gamma-ray Halos and the Need for New Physics in the Gamma-ray Sky}",
    eprint = "1808.02959",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    doi = "10.3847/1538-4357/aae5f2",
    journal = "Astrophys. J.",
    volume = "868",
    number = "2",
    pages = "87",
    year = "2018"
}

@ARTICLE{Sironi14,
       author = {{Sironi}, Lorenzo and {Giannios}, Dimitrios},
        title = "{Relativistic Pair Beams from TeV Blazars: A Source of Reprocessed GeV Emission rather than Intergalactic Heating}",
      journal = {\apj},
     keywords = {gamma rays: general, instabilities, intergalactic medium, plasmas, radiation mechanisms: non-thermal, Astrophysics - High Energy Astrophysical Phenomena, Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2014,
        month = may,
       volume = {787},
       number = {1},
          eid = {49},
        pages = {49},
          doi = {10.1088/0004-637X/787/1/49},
archivePrefix = {arXiv},
       eprint = {1312.4538},
 primaryClass = {astro-ph.HE},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2014ApJ...787...49S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BN22,
       author = {{Brandenburg}, Axel and {Ntormousi}, Evangelia},
        title = "{Dynamo effect in unstirred self-gravitating turbulence}",
      journal = {\mnras},
     keywords = {dynamo, ISM: general, (magnetohydrodynamics) MHD, turbulence, Astrophysics - Astrophysics of Galaxies},
         year = 2022,
        month = jun,
       volume = {513},
       number = {2},
        pages = {2136-2151},
          doi = {10.1093/mnras/stac982},
archivePrefix = {arXiv},
       eprint = {2112.03838},
 primaryClass = {astro-ph.GA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2022MNRAS.513.2136B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{AlvesBatista+19,
       author = {{Alves Batista}, Rafael and {Saveliev}, Andrey and {de Gouveia Dal Pino}, Elisabete M.},
        title = "{The impact of plasma instabilities on the spectra of TeV blazars}",
      journal = {\mnras},
     keywords = {astroparticle physics, instabilities, magnetic fields, plasmas, intergalactic medium, gamma-rays: general, Astrophysics - High Energy Astrophysical Phenomena},
         year = 2019,
        month = nov,
       volume = {489},
       number = {3},
        pages = {3836-3849},
          doi = {10.1093/mnras/stz2389},
archivePrefix = {arXiv},
       eprint = {1904.13345},
 primaryClass = {astro-ph.HE},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019MNRAS.489.3836A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Sharma+18,
       author = {{Sharma}, Ramkishor and {Subramanian}, Kandaswamy and {Seshadri}, T.~R.},
        title = "{Generation of helical magnetic field in a viable scenario of inflationary magnetogenesis}",
      journal = {\prd},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2018,
        month = apr,
       volume = {97},
       number = {8},
          eid = {083503},
        pages = {083503 (SSS18)},
          doi = {10.1103/PhysRevD.97.083503},
archivePrefix = {arXiv},
       eprint = {1802.04847},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2018PhRvD..97h3503S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Sharma+17,
       author = {{Sharma}, Ramkishor and {Jagannathan}, Sandhya and {Seshadri}, T.~R. and {Subramanian}, Kandaswamy},
        title = "{Challenges in inflationary magnetogenesis: Constraints from strong coupling, backreaction, and the Schwinger effect}",
      journal = {\prd},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2017,
        month = oct,
       volume = {96},
       number = {8},
          eid = {083511},
        pages = {083511},
          doi = {10.1103/PhysRevD.96.083511},
archivePrefix = {arXiv},
       eprint = {1708.08119},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2017PhRvD..96h3511S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BS05,
   author = {{Brandenburg}, A. and {Subramanian}, K.},
    title = "{Astrophysical magnetic fields and nonlinear dynamo theory}",
  journal = {\physrep},
   eprint = {astro-ph/0405052},
     year = 2005,
    month = oct,
   volume = 417,
    pages = {1-209},
      doi = {10.1016/j.physrep.2005.06.005},
   adsurl = {http://adsabs.harvard.edu/abs/2005PhR...417....1B},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BEO97,
       author = {{Brandenburg}, Axel and {Enqvist}, Kari and {Olesen}, Poul},
        title = "{The effect of Silk damping on primordial magnetic fields}",
      journal = {Phys. Lett. B},
     keywords = {High Energy Physics - Phenomenology, Astrophysics},
         year = 1997,
        month = feb,
       volume = {392},
        pages = {395-402},
          doi = {10.1016/S0370-2693(96)01566-3},
archivePrefix = {arXiv},
       eprint = {hep-ph/9608422},
 primaryClass = {hep-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1997PhLB..392..395B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{BEO96,
       author = {{Brandenburg}, Axel and {Enqvist}, Kari and {Olesen}, Poul},
        title = "{Large-scale magnetic fields from hydromagnetic turbulence in the very early universe}",
      journal = {\prd},
     keywords = {95.30.Qd, 04.40.Nr, 98.62.En, Magnetohydrodynamics and plasmas, Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields, Electric and magnetic fields, Astrophysics, High Energy Physics - Phenomenology},
         year = 1996,
        month = jul,
       volume = {54},
       number = {2},
        pages = {1291-1300},
          doi = {10.1103/PhysRevD.54.1291},
archivePrefix = {arXiv},
       eprint = {astro-ph/9602031},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1996PhRvD..54.1291B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Bra+96,
       author = {{Brandenburg}, A. and {Jennings}, R.~L. and {Nordlund}, {\r{A}}. and {Rieutord}, M. and {Stein}, R.~F. and {Tuominen}, I.},
        title = "{Magnetic structures in a dynamo simulation}",
      journal = {J. Fluid Mech.},
     keywords = {Statistical properties, isotropic turbulence, numerical turbulence, stellar convection, intermittency, helicity},
         year = 1996,
        month = jan,
       volume = {306},
        pages = {325-352},
          doi = {10.1017/S0022112096001322},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1996JFM...306..325B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@BOOK{Kolb+Turner90,
       author = {{Kolb}, Edward W. and {Turner}, Michael S.},
        title = "{The early universe}",
         year = 1990,
       volume = {69},
    publisher = {Avalon Publishing: New York, NY, USA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1990eaun.book.....K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Silk68,
       author = {{Silk}, Joseph},
        title = "{Cosmic Black-Body Radiation and Galaxy Formation}",
      journal = {\apj},
         year = 1968,
        month = feb,
       volume = {151},
        pages = {459},
          doi = {10.1086/149449},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1968ApJ...151..459S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{JOSS,
       author = {{Pencil Code Collaboration} and {Brandenburg}, Axel and {Johansen}, Anders and {Bourdin}, Philippe and {Dobler}, Wolfgang and {Lyra}, Wladimir and {Rheinhardt}, Matthias and {Bingert}, Sven and {Haugen}, Nils and {Mee}, Antony and {Gent}, Frederick and {Babkovskaia}, Natalia and {Yang}, Chao-Chin and {Heinemann}, Tobias and {Dintrans}, Boris and {Mitra}, Dhrubaditya and {Candelaresi}, Simon and {Warnecke}, J{\"o}rn and {K{\"a}pyl{\"a}}, Petri and {Schreiber}, Andreas and {Chatterjee}, Piyali and {K{\"a}pyl{\"a}}, Maarit and {Li}, Xiang-Yu and {Kr{\"u}ger}, Jonas and {Aarnes}, J{\o}rgen and {Sarson}, Graeme and {Oishi}, Jeffrey and {Schober}, Jennifer and {Plasson}, Rapha{\"e}l and {Sandin}, Christer and {Karchniwy}, Ewa and {Rodrigues}, Luiz and {Hubbard}, Alexander and {Guerrero}, Gustavo and {Snodin}, Andrew and {Losada}, Illa and {Pekkil{\"a}}, Johannes and {Qian}, Chengeng},
        title = "{The Pencil Code, a modular MPI code for partial differential equations and particles: multipurpose and multiuser-maintained}",
      journal = {J. Open Source Softw.},
     keywords = {combustion, fluid dynamics, Fortran, Fortran90, radiation, Perl, Python, IDL, astrophysics, inertial particles, magnetohydrodynamics},
         year = 2021,
        month = feb,
       volume = {6},
       number = {58},
          eid = {2807},
        pages = {2807},
          doi = {10.21105/joss.02807},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2021JOSS....6.2807P},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{HRPB23,
       author = {{He}, Yutong and {Roper Pol}, Alberto and {Brandenburg}, Axel},
        title = "{Modified propagation of gravitational waves from the early radiation era}",
      journal = {\jcap},
     keywords = {cosmological phase transitions, Gravitational waves in GR and beyond: theory, modified gravity, physics of the early universe, General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2023,
        month = jun,
       volume = {2023},
       number = {6},
          eid = {025},
        pages = {025},
          doi = {10.1088/1475-7516/2023/06/025},
archivePrefix = {arXiv},
       eprint = {2212.06082},
 primaryClass = {gr-qc},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2023JCAP...06..025H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{NV10,
   author = {{Neronov}, A. and {Vovk}, I.},
    title = "{Evidence for Strong Extragalactic Magnetic Fields from Fermi Observations of TeV Blazars}",
  journal = {Science},
archivePrefix = "arXiv",
   eprint = {1006.3504},
 primaryClass = "astro-ph.HE",
     year = 2010,
    month = apr,
   volume = 328,
    pages = {73},
      doi = {10.1126/science.1184192},
   adsurl = {http://adsabs.harvard.edu/abs/2010Sci...328...73N},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Taylor+11,
      author         = "Taylor, A. M. and Vovk, I. and Neronov, A.",
      title          = "{Extragalactic magnetic fields constraints from
                        simultaneous GeV-TeV observations of blazars}",
      journal        = "Astron. Astrophys.",
      volume         = "529",
      year           = "2011",
      pages          = "A144",
      doi            = "10.1051/0004-6361/201116441",
      eprint         = "1101.0932",
      archivePrefix  = "arXiv",
      primaryClass   = "astro-ph.HE",
      SLACcitation   = "%%CITATION = ARXIV:1101.0932;%%"
}

@ARTICLE{Gedalin93,
       author = {{Gedalin}, M.},
        title = "{Linear waves in relativistic anisotropic magnetohydrodynamics}",
      journal = {\pre},
     keywords = {52.60.+h, 52.35.Bj, 52.55.Dy, Magnetohydrodynamic waves, General theory and basic studies of plasma lifetime particle and heat loss energy balance field structure etc.},
         year = 1993,
        month = jun,
       volume = {47},
       number = {6},
        pages = {4354-4357},
          doi = {10.1103/PhysRevE.47.4354},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1993PhRvE..47.4354G},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Alfven42,
       author = {{Alfv{\'e}n}, H.},
        title = "{Existence of Electromagnetic-Hydrodynamic Waves}",
      journal = {\nat},
         year = 1942,
        month = oct,
       volume = {150},
       number = {3805},
        pages = {405-406},
          doi = {10.1038/150405d0},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1942Natur.150..405A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Sub10,
   author = {{Subramanian}, K.},
    title = "{Magnetic fields in the early Universe}",
  journal = {Astron. Nachr.},
archivePrefix = "arXiv",
   eprint = {0911.4771},
 keywords = {cosmology: theory, magnetic fields},
     year = 2010,
    month = jan,
   volume = 331,
    pages = {110},
      doi = {10.1002/asna.200911312},
   adsurl = {http://adsabs.harvard.edu/abs/2010AN....331..110S},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Sub16,
       author = {{Subramanian}, Kandaswamy},
        title = "{The origin, evolution and signatures of primordial magnetic fields}",
      journal = {Rep. Prog. Phys.},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology},
         year = 2016,
        month = jul,
       volume = {79},
       number = {7},
          eid = {076901},
        pages = {076901},
          doi = {10.1088/0034-4885/79/7/076901},
archivePrefix = {arXiv},
       eprint = {1504.02311},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2016RPPh...79g6901S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{DN13,
       author = {{Durrer}, Ruth and {Neronov}, Andrii},
        title = "{Cosmological magnetic fields: their generation, evolution and observation}",
      journal = {\aapr},
     keywords = {Cosmology, Magnetic fields, Early Universe, Cosmic microwave background, Gamma rays, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - High Energy Astrophysical Phenomena},
         year = 2013,
        month = jun,
       volume = {21},
          eid = {62},
        pages = {62},
          doi = {10.1007/s00159-013-0062-7},
archivePrefix = {arXiv},
       eprint = {1303.7121},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2013A&ARv..21...62D},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{FC23,
       author = {{Field}, George B. and {Carroll}, Sean M.},
        title = "{Axions and Cosmic Magnetic Fields}",
      journal = {arXiv e-prints},
     keywords = {High Energy Physics - Phenomenology, Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2023,
        month = jul,
          eid = {arXiv:2307.05425},
        pages = {arXiv:2307.05425},
          doi = {10.48550/arXiv.2307.05425},
archivePrefix = {arXiv},
       eprint = {2307.05425},
 primaryClass = {hep-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2023arXiv230705425F},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Kronberg94,
       author = {{Kronberg}, P.~P.},
        title = "{Extragalactic magnetic fields}",
      journal = {Rep. Prog. Phys.},
         year = 1994,
        month = apr,
       volume = {57},
       number = {4},
        pages = {325-382},
          doi = {10.1088/0034-4885/57/4/001},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1994RPPh...57..325K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Widrow02,
       author = {{Widrow}, Lawrence M.},
        title = "{Origin of galactic and extragalactic magnetic fields}",
      journal = {Rev. Mod. Phys.},
     keywords = {98.62.En, 98.62.Ra, 98.35.Eg, 98.58.Ay, 98.65.Cw, 01.30.Rr, Electric and magnetic fields, Intergalactic matter, quasar absorption and emission-line systems, Lyman forest, Physical properties, Galaxy clusters, Surveys and tutorial papers, resource letters, Astrophysics},
         year = 2002,
        month = jan,
       volume = {74},
       number = {3},
        pages = {775-823},
          doi = {10.1103/RevModPhys.74.775},
archivePrefix = {arXiv},
       eprint = {astro-ph/0207240},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2002RvMP...74..775W},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Giovannini04,
       author = {{Giovannini}, Massimo},
        title = "{The Magnetized Universe}",
      journal = {Int. J. Mod. Phys. D},
     keywords = {Large-scale magnetic fields, astrophysics, cosmology, Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Experiment, High Energy Physics - Phenomenology, High Energy Physics - Theory},
         year = 2004,
        month = jan,
       volume = {13},
       number = {3},
        pages = {391-502},
          doi = {10.1142/S0218271804004530},
archivePrefix = {arXiv},
       eprint = {astro-ph/0312614},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2004IJMPD..13..391G},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Kandus+11,
       author = {{Kandus}, Alejandra and {Kunze}, Kerstin E. and {Tsagas}, Christos G.},
        title = "{Primordial magnetogenesis}",
      journal = {\physrep},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology},
         year = 2011,
        month = aug,
       volume = {505},
       number = {1},
        pages = {1-58},
          doi = {10.1016/j.physrep.2011.03.001},
archivePrefix = {arXiv},
       eprint = {1007.3891},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2011PhR...505....1K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Vachaspati21,
       author = {{Vachaspati}, Tanmay},
        title = "{Progress on cosmological magnetic fields}",
      journal = {Rep. Prog. Phys.},
     keywords = {cosmological magnetic fields, electroweak phase transition, magnetic helicity, Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Phenomenology, High Energy Physics - Theory},
         year = 2021,
        month = jul,
       volume = {84},
       number = {7},
          eid = {074901},
        pages = {074901},
          doi = {10.1088/1361-6633/ac03a9},
archivePrefix = {arXiv},
       eprint = {2010.10525},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2021RPPh...84g4901V},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Henriksen19,
       author = {{Henriksen}, Richard},
        title = "{Solar and Galactic Magnetic Halo Structure: Force-Free Dynamos?}",
      journal = {Galaxies},
         year = 2019,
        month = may,
       volume = {7},
       number = {2},
        pages = {53},
          doi = {10.3390/galaxies7020053},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019Galax...7...53H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Adshead+15,
       author = {{Adshead}, Peter and {}, John T. Giblin, Jr. and {Scully}, Timothy R. and {Sfakianakis}, Evangelos I.},
        title = "{Gauge-preheating and the end of axion inflation}",
      journal = {\jcap},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2015,
        month = dec,
       volume = {2015},
       number = {12},
        pages = {034-034},
          doi = {10.1088/1475-7516/2015/12/034},
archivePrefix = {arXiv},
       eprint = {1502.06506},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2015JCAP...12..034A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Adshead+16,
       author = {{Adshead}, Peter and {Giblin}, John T., Jr. and {Scully}, Timothy R. and {Sfakianakis}, Evangelos I.},
        title = "{Magnetogenesis from axion inflation}",
      journal = {\jcap},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2016,
        month = oct,
       volume = {2016},
       number = {10},
          eid = {039},
        pages = {039},
          doi = {10.1088/1475-7516/2016/10/039},
archivePrefix = {arXiv},
       eprint = {1606.08474},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2016JCAP...10..039A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Adshead+20,
       author = {{Adshead}, Peter and {Giblin}, John T. and {Pieroni}, Mauro and {Weiner}, Zachary J.},
        title = "{Constraining axion inflation with gravitational waves from preheating}",
      journal = {\prd},
     keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Phenomenology},
         year = 2020,
        month = apr,
       volume = {101},
       number = {8},
          eid = {083534},
        pages = {083534},
          doi = {10.1103/PhysRevD.101.083534},
archivePrefix = {arXiv},
       eprint = {1909.12842},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020PhRvD.101h3534A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}