- Open Access
Can galactic magnetic fields diffuse into the voids?
Phys. Rev. D 113, 023523 – Published 20 January, 2026
DOI: https://doi.org/10.1103/4114-mgsp
Abstract
Cosmic voids are magnetized at the level of at least on Mpc scales, as implied by blazar observations. We show that an electrically conducting plasma is present in the voids, and that, because of the plasma, diffusion into the voids of galactic fields generated by a mean-field dynamo is far too slow to explain the present-day void magnetization. Indeed, we show that even in the presence of turbulence in the voids, dynamo-generated galactic fields diffuse out to a galactocentric radius of only 200–400 kpc. Therefore, it is challenging to meet the required volume filling-factor of the void magnetic field. We conclude that a primordial origin remains the most natural explanation to the space-filling weak fields in voids.
Physics Subject Headings (PhySH)
Article Text
References (81)
- A. Neronov and I. Vovk, Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars, Astron. Astrophys. 523, A65 (2010).
- J. Blunier, A. Neronov, and D. Semikoz, Revision of conservative lower bound on intergalactic magnetic field from Fermi and Cherenkov telescope observations of extreme blazars, arXiv:2506.22285.
- V. A. Acciari, I. Agudo, T. Aniello, S. Ansoldi, L. Antonelli, A. A. Engels, M. Artero, K. Asano, D. Baack, A. Babić et al., A lower bound on intergalactic magnetic fields from time variability of 1ES from magic and Fermi/LAT observations, Astron. Astrophys. 670, A145 (2023).
- K. Dolag, M. Kachelrieß, S. Ostapchenko, and R. Tomàs, Lower limit on the strength and filling factor of extragalactic magnetic fields, Astrophys. J. Lett. 727, L4 (2011).
- F. Vazza, M. Brüggen, C. Gheller, S. Hackstein, D. Wittor, and P. M. Hinz, Simulations of extragalactic magnetic fields and of their observables, Classical Quantum Gravity 34, 234001 (2017).
- R. Alves Batista and A. Saveliev, The gamma-ray window to intergalactic magnetism, Universe 7, 223 (2021).
- J. Tjemsland, M. Meyer, and F. Vazza, Constraining the astrophysical origin of intergalactic magnetic fields, Astrophys. J. 963, 135 (2024).
- R. Durrer and A. Neronov, Cosmological magnetic fields: Their generation, evolution and observation, Astron. Astrophys. Rev. 21, 62 (2013).
- D. N. Hosking and A. A. Schekochihin, Cosmic-void observations reconciled with primordial magnetogenesis, Nat. Commun. 14, 7523 (2023).
- R. M. Kulsrud and E. G. Zweibel, On the origin of astrophysical magnetic fields, Rep. Prog. Phys. 71, 046901 (2008).
- J. Donnert, K. Dolag, H. Lesch, and E. Müller, Cluster magnetic fields from galactic outflows, Mon. Not. R. Astron. Soc. 392, 1008 (2009).
- F. Marinacci, M. Vogelsberger, P. Mocz, and R. Pakmor, The large-scale properties of simulated cosmological magnetic fields, Mon. Not. R. Astron. Soc. 453, 3999 (2015).
- E. Garaldi, R. Pakmor, and V. Springel, Magnetogenesis around the first galaxies: The impact of different field seeding processes on galaxy formation, Mon. Not. R. Astron. Soc. 502, 5726 (2021).
- E. N. Parker, The generation of magnetic fields in astrophysical bodies. II. The galactic field, Astrophys. J. 163, 255 (1971).
- R. Beck, A. Brandenburg, D. Moss, A. Shukurov, and D. Sokoloff, Galactic magnetism: Recent developments and perspectives, Annu. Rev. Astron. Astrophys. 34, 155 (1996).
- A. Brandenburg and E. Ntormousi, Galactic dynamos, Annu. Rev. Astron. Astrophys. 61, 561 (2023).
- D. Sokoloff and A. Shukurov, Regular magnetic fields in coronae of spiral galaxies, Nature (London) 347, 51 (1990).
- A. Brandenburg, K. J. Donner, D. Moss, A. Shukurov, D. D. Sokolov, and I. Tuominen, Dynamos in discs and halos of galaxies., Astron. Astrophys. 259, 453 (1992).
- D. Garg, R. Durrer, and J. Schober, Are magnetic fields in cosmic voids primordial?, arXiv:2505.14774.
- J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999).
- A. Aramburo-García et al., Magnetized outflows in illustristng, Mon. Not. R. Astron. Soc. 502, 6012 (2021).
- M. S. Oei, M. J. Hardcastle, R. Timmerman, A. R. Gast, A. Botteon, A. C. Rodriguez, D. Stern, G. Calistro Rivera, R. J. van Weeren, H. J. Röttgering et al., Black hole jets on the scale of the cosmic web, Nature (London) 633, 537 (2024).
- H. Andernach and M. Brüggen, Properties of giant radio galaxies larger than 3 Mpc, Astron. Astrophys. 699, A257 (2025).
- A. Neronov, F. Vazza, A. Brandenburg, and C. Caprini, Intergalactic magnetism in a -ray beam as a model of porphyrion, Astron. Astrophys. 696, L8 (2025).
- C. L. Bennett et al., First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary maps and basic results, Astrophys. J. Suppl. Ser. 148, 1 (2003).
- E. R. Harrison, Standard model of the early universe, Annu. Rev. Astron. Astrophys. 11, 155 (1973).
- A. Lewis, J. Weller, and R. Battye, The Cosmic Microwave background and the ionization history of the universe, Mon. Not. R. Astron. Soc. 373, 561 (2006).
- N. A. Krall, A. W. Trivelpiece, and R. A. Gross, Principles of plasma physics, Am. J. Phys. 41, 1380 (1973).
- R. S. Cohen, L. Spitzer, and P. M. Routly, The electrical conductivity of an ionized gas, Phys. Rev. 80, 230 (1950).
- M. McQuinn, The evolution of the intergalactic medium, Annu. Rev. Astron. Astrophys. 54, 313 (2016).
- M. Escudero, C. K. Pooni, M. Fairbairn, D. Blas, X. Du, and D. J. E. Marsh, Axion star explosions: A new source for axion indirect detection, Phys. Rev. D 109, 043018 (2024).
- A. S. Richardson, 2019 NRL Plasma Formulary (Elsevier, Amsterdam, 2019).
- J. Ahonen and K. Enqvist, Electrical conductivity in the early universe, Phys. Lett. B 382, 40 (1996).
- G. Baym and H. Heiselberg, The Electrical conductivity in the early universe, Phys. Rev. D 56, 5254 (1997).
- F. Uchida, M. Fujiwara, K. Kamada, and J. Yokoyama, New comprehensive description of the scaling evolution of the cosmological magneto-hydrodynamic system, J. Cosmol. Astropart. Phys. 08 (2024) 017.
- A. Brandenburg and K. Subramanian, Astrophysical magnetic fields and nonlinear dynamo theory, Phys. Rep. 417, 1 (2005).
- S. I. Braginskii, Transport processes in a plasma, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1965), Vol. 1, pp. 205–311.
- F. Krause and K.-H. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon Press, Oxford, 1980).
- A. Ruzmaikin, A. Shukurov, and D. Sokoloff, Magnetic Fields of Galaxies (Springer-Verlag, Berlin, Heidelberg, 1988).
- A. Brandenburg, I. Tuominen, and F. Krause, Dynamos with a flat -effect distribution, Geophys. Astrophys. Fluid Dyn. 50, 95 (1990).
- M.-M. Mac Low and R. S. Klessen, Control of star formation by supersonic turbulence, Rev. Mod. Phys. 76, 125 (2004).
- K. M. Ferrière, The interstellar environment of our galaxy, Rev. Mod. Phys. 73, 1031 (2001).
- M. Haverkorn, Magnetic fields in the Milky Way, Proc. Int. Astron. Union 10, 483 (2015).
- R. Beck, Magnetic fields in spiral galaxies, Astron. Astrophys. Rev. 24, 4 (2015).
- A. Brandenburg, O. Ghosh, F. Vazza, and A. Neronov, Magnetic field spreading from stellar and galactic dynamos into the exterior, NORDITA-2025-054, http://old.nordita.org/preprints (2025).
- R. Beck, A. D. Poezd, A. Shukurov, and D. D. Sokoloff, Dynamos in evolving galaxies, Astron. Astrophys. 289, 94 (1994).
- T. O. Kovacs, S. A. Mao, A. Basu, Y. K. Ma, and B. Gaensler, The halo magnetic field of a spiral galaxy at , arXiv:2507.12542.
- D. Ryu, H. Kang, J. Cho, and S. Das, Turbulence and magnetic fields in the large-scale structure of the universe, Science 320, 909 (2008).
- F. Vazza, M. Brüggen, C. Gheller, and P. Wang, On the amplification of magnetic fields in cosmic filaments and galaxy clusters, Mon. Not. R. Astron. Soc. 445, 3706 (2014).
- A. Aramburo-García et al., Faraday rotation from galactic outflows in illustristng, Mon. Not. R. Astron. Soc. 514, 2656 (2022).
- K. Bondarenko, A. Boyarsky, A. Korochkin, A. Neronov, D. Semikoz, and A. Sokolenko, Account of the baryonic feedback effect in -ray measurements of intergalactic magnetic fields, Astron. Astrophys. 660, A80 (2022).
- H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, England, 1978).
- I. Rogachevskii, N. Kleeorin, and A. Brandenburg, Compressibility in turbulent MHD and passive scalar transport: Mean-field approach, J. Plasma Phys. 84, 735840502 (2018).
- L. Iapichino, W. Schmidt, J. C. Niemeyer, and J. Merklein, Turbulence production and turbulent pressure support in the intergalactic medium, Mon. Not. R. Astron. Soc. 414, 2297 (2011).
- Y. Wang and P. He, Turbulence revealed by wavelet transform: Power spectrum and intermittency for the velocity field of the cosmic baryonic fluid, Astrophys. J. 974, 107 (2024).
- Y. Wang and P. He, Turbulence, thermal pressure, and their dynamical effects on cosmic baryonic fluid, Mon. Not. R. Astron. Soc. 534, L14 (2024).
- K. H. R. Rubin, J. X. Prochaska, D. C. Koo, A. C. Phillips, C. L. Martin, and L. O. Winstrom, Evidence for ubiquitous collimated galactic-scale outflows along the star-forming sequence at , Astrophys. J. 794, 156 (2014).
- S. Carniani, G. Venturi, E. Parlanti, A. de Graaff, R. Maiolino, S. Arribas, N. Bonaventura, K. Boyett, A. J. Bunker, A. J. Cameron et al., Jades: The incidence rate and properties of galactic outflows in low-mass galaxies across , Astron. Astrophys. 685, A99 (2024).
- S. Samui, K. Subramanian, and R. Srianand, Efficient cold outflows driven by cosmic rays in high-redshift galaxies and their global effects on the IGM, Mon. Not. R. Astron. Soc. 476, 1680 (2018).
- D. Nelson, A. Pillepich, V. Springel, R. Pakmor, R. Weinberger, S. Genel, P. Torrey, M. Vogelsberger, F. Marinacci, and L. Hernquist, First results from the TNG50 simulation: Galactic outflows driven by supernovae and black hole feedback, Mon. Not. R. Astron. Soc. 490, 3234 (2019).
- C. Cain, M. McQuinn, E. Scannapieco, A. D’Aloisio, and H. Trac, Kiloparsec-scale turbulence driven by reionization may grow intergalactic magnetic fields, arXiv:2504.21082.
- E. Massara, W. J. Percival, N. Dalal, S. Nadathur, S. Radinović, H. A. Winther, and A. Woodfinden, Velocity profiles of matter and biased tracers around voids, Mon. Not. R. Astron. Soc. 517, 4458 (2022).
- A. Lazarian and E. T. Vishniac, Reconnection in a weakly stochastic field, Astrophys. J. 517, 700 (1999).
- A. Lazarian and E. T. Vishniac, Reconnection in a weakly stochastic field, Astrophys. J. 517, 700 (1999).
- G. L. Eyink, A. Lazarian, and E. T. Vishniac, Fast magnetic reconnection and spontaneous stochasticity, Astrophys. J. 743, 51 (2011).
- G. Kowal, A. Lazarian, E. T. Vishniac, and K. Otmianowska-Mazur, Numerical tests of fast reconnection in weakly stochastic magnetic fields, Astrophys. J. 700, 63 (2009).
- W. H. Yang, P. A. Sturrock, and S. K. Antiochos, Force-free magnetic fields: The magneto-frictional method, Astrophys. J. 309, 383 (1986).
- A. Brandenburg et al. (Pencil Code Collaboration), The pencil code, a modular MPI code for partial differential equations and particles: Multipurpose and multiuser-maintained, J. Open Source Softwaare 6, 2807 (2021).
- V. Heesen, S. P. O’Sullivan, M. Brüggen, A. Basu, R. Beck, A. Seta, E. Carretti, M. G. H. Krause, M. Haverkorn, S. Hutschenreuter, A. Bracco, M. Stein, D. J. Bomans, R.-J. Dettmar, K. T. Chyży, G. H. Heald, R. Paladino, and C. Horellou, Detection of magnetic fields in the circumgalactic medium of nearby galaxies using Faraday rotation, Astron. Astrophys. 670, L23 (2023).
- V. Ghirardini, D. Eckert, S. Ettori, E. Pointecouteau, S. Molendi, M. Gaspari, M. Rossetti, S. De Grandi, M. Roncarelli, H. Bourdin et al., Universal thermodynamic properties of the intracluster medium over two decades in radius in the X-COP sample, Astron. Astrophys. 621, A41 (2019).
- N. Locatelli, G. Ponti, X. Zheng, A. Merloni, W. Becker, J. Comparat, K. Dennerl, M. J. Freyberg, M. Sasaki, and M. C. H. Yeung, The warm-hot circumgalactic medium of the Milky Way as seen by eROSITA, Astron. Astrophys. 681, A78 (2024).
- K. Böckmann, M. Brüggen, V. Heesen, A. Basu, S. P. O’Sullivan, I. Heywood, M. Jarvis, A. Scaife, J. Stil, R. Taylor, N. J. Adams, R. A. A. Bowler, and M. N. Tudorache, Probing magnetic fields in the circumgalactic medium using polarization data from MIGHTEE, Astron. Astrophys. 678, A56 (2023).
- A. Blunier and A. Neronov, Constraints on extragalactic magnetic fields from lotss Faraday rotation measures, Astron. Astrophys. 682, A42 (2024).
- A. Arámburo-García, K. Bondarenko, A. Boyarsky, A. Neronov, A. Scaife, and A. Sokolenko, Revision of Faraday rotation measure constraints on the primordial magnetic field using the illustristng simulation, Mon. Not. R. Astron. Soc. 515, 5673 (2022).
- K. Seller and G. Sigl, On the contribution of galaxies to the magnetic field in cosmic voids, arXiv:2510.08025.
- S. Hackstein, M. Brüggen, F. Vazza, B. Gaensler, and V. Heesen, Fast radio burst dispersion measures and rotation measures and the origin of intergalactic magnetic fields, Mon. Not. R. Astron. Soc. 488, 4220 (2019).
- W. Chen, J. H. Buckley, and F. Ferrer, Search for GeV -ray pair halos around low redshift blazars, Phys. Rev. Lett. 115, 211103 (2015).
- T. Minoda, K. Hasegawa, H. Tashiro, K. Ichiki, and N. Sugiyama, Thermal Sunyaev-Zel’dovich effect in the intergalactic medium with primordial magnetic fields, Phys. Rev. D 96, 123525 (2017).
- O. Ghosh, A. Brandenburg, C. Caprini, A. Neronov, and F. Vazza, Datasets for can galactic magnetic fields diffuse into the voids?, 10.5281/zenodo.17865405(v2025.12.09), see also http://norlx65.nordita.org/~brandenb/projects/VoidDiff/ for easier access 10.5281/zenodo.17865405.
- N. Schuster, N. Hamaus, K. Dolag, and J. Weller, Why cosmic voids matter: Mitigation of baryonic physics, J. Cosmol. Astropart. Phys. 08 (2024) 065.
- O. Curtis, B. McDonough, and T. G. Brainerd, Density profiles of TNG 300 voids across cosmic time, Astrophys. J. 985, 244 (2025).