Galactic magnetic fields

## Contents

* 1 Introduction
* 2 The Origin of Galactic Magnetic Fields
* 3 Results from Radio Observations
* 3.1 Magnetic Field Strengths in Galaxies
* 3.2 Magnetic Field Structures in Spiral Galaxies
* 3.3 Magnetic Fields in the Milky Way
* 4 New and future Radio Telescopes
* 5 References
* 6 Further Reading
* 7 External Links
* 8 See Also

## [edit] Introduction

Magnetic fields are a major agent in the interstellar medium (ISM) of spiral, barred, irregular and dwarf galaxies. They contribute significantly to the total pressure which balances the ISM against gravity. They may affect the gas flows in spiral arms, around bars and in galaxy halos. Magnetic fields are essential for the onset of star formation as they enable the removal of angular momentum from the protostellar cloud during its collapse. MHD turbulence distributes energy from supernova explosions within the ISM. Magnetic reconnection is a possible heating source for the ISM and halo gas. Magnetic fields also control the density and distribution of cosmic rays in the ISM.

Radio galaxies form a separate class and are not considered in this article. They are powered by violent processes around black holes in their centers and show jets and radio lobes in the radio range, hosting strong magnetic fields and energetic cosmic-ray particles.

Galactic magnetic fields can be observed in the optical range via starlight which is polarized by interstellar dust grains in the foreground. These grains are elongated and can be aligned by magnetic fields, where the major axis becomes perpendicular to the field lines. Measurements of many stars revealed a general picture of the magnetic field in the Milky Way near the Sun. Aligned dust grains also emit polarized infrared emission, which is very useful to show magnetic fields in dust clouds in the Milky Way. Zeeman splitting of radio spectral lines allows measurement of relatively strong fields in nearby, dense gas clouds in the Milky Way. For those three techniques observations in external galaxies are still difficult to obtain. The fourth technique, measuring synchrotron emission, is the most powerful one and can be applied over the whole Milky Way, to nearby galaxies, and also to distant galaxies.

Cosmic-ray electrons in galaxies are believed to be accelerated in the shock fronts of supernova remnants. They propagate into the interstellar medium and spiral around interstellar magnetic field lines with almost the speed of light. They emit synchrotron emission over a large range of radio wavelengths. The intensity of synchrotron emission increases with observation wavelength to a power of about 0.8. The most energetic electrons can even emit synchrotron infrared or optical light.

The intensity of synchrotron emission is a measure of the density of cosmic-ray electrons and of the strength of the total magnetic field component in the sky plane. The degree of linear polarization of synchrotron emission can be as high as 75% in a completely ordered field, which is a field with a constant orientation within the volume traced by the telescope's beam. Any variation of the field orientation within the beam reduces the degree of polarization. Regular fields are believed to be generated e.g. by a dynamo (see below). Polarized emission can also emerge from anisotropic turbulent fields (with random orientations in two dimensions), which are generated from isotropic turbulent fields (with random orientations in three dimensions) by compressing or shearing gas flows and frequently reverse their direction by 180 degrees on scales smaller than the telescope beam. Unpolarized synchrotron emission indicates isotropic turbulent fields that have been generated by turbulent gas flows. Hence, three components of the total field are distinguished by observations: large-scale regular, anisotropic turbulent, and isotropic turbulent fields.

The degree of synchrotron polarization in galaxies is observed to be 10-20% on average, indicating that isotropic turbulent fields dominate in galaxies. Locally, 50% is observed (e.g. in the interarm regions of NGC 6946, see Fig.2 below); the regular and/or anisotropic turbulent field dominates in such regions.

The intrinsic orientation of the observed polarization plane of an electromagnetic wave is perpendicular to the field orientation. When the wave travels through a magnetized plasma, the orientation of the polarization plane is changed by Faraday rotation. The rotation angle increases with the plasma density, the strength of the component of the regular field along the line of sight, and the square of the observation wavelength. Fields directed towards us cause an anticlockwise sense of rotation, fields directed away from us a clockwise rotation. Anisotropic and isotropic turbulent fields do not Faraday-rotate. For typical plasma densities and regular field strengths in the interstellar medium of galaxies, Faraday rotation becomes significant at wavelengths larger than a few centimeters. At decimeter wavelengths, Faraday rotation is generally strong and can lead to Faraday depolarization. In the meterwave range (below frequencies of about 300 MHz), polarized emission from galaxies is generally too weak to be detected.

Measurement of the Faraday rotation from multi-wavelength observations allows us to determine the strength and direction of the regular field component along the line of sight. Combination with the polarization vectors yields a fully three-dimensional picture of the magnetic field.

A second method to measure magnetic fields in galaxies is offered by bright and compact polarized background sources (e.g. quasars or radio galaxies). Their polarized emission can be Faraday-rotated within the interstellar medium of the foreground galaxy, proportional to the strength of the interstellar magnetic field. This method suffers less from Faraday depolarization and hence can be applied also to frequencies below 300 MHz.

The most sensitive instruments for radio polarization measurements are the single-dish telescopes in Effelsberg (Germany, 100 m diameter) and in Parkes (Australia, 64 m diameter), and the synthesis (interferometer) telescopes in Westerbork (Netherlands), the Jansky Very Large Array (USA), and the Australia Telescope Compact Array. Low-frequency instruments like LOFAR did not yet detect polarization from galaxies because of strong Faraday depolarization at long wavelengths. A major increase in sensitivity and angular resolution is expected from the Square Kilometre Array and its precursor telescopes (see below).

## [edit] The Origin of Galactic Magnetic Fields

The origin of the first magnetic fields in the Universe is still a mystery (Widrow 2002). Protogalaxies probably were already magnetic due to field ejection from the first stars or from jets generated by the first black holes. However, a primordial field in a young galaxy is hard to maintain because a galaxy rotates differentially (the angular velocity decreases with radius), so that the magnetic field lines get strongly wound up (in contrast to observations, see below) and field lines with opposite polarity may cancel via magnetic reconnection. This calls for a mechanism to sustain and organize the magnetic field.

The ISM contains equal numbers of positively and negatively charged particles, so that large-scale electric currents (that could induce large-scale magnetic fields) cannot be maintained. The most promising mechanism for field amplification is the dynamo that transfers mechanical energy into magnetic energy (e.g. Beck et al. 1996, Brandenburg & Subramanian 2005, Beck et al. 2019). With a suitable configuration of the gas flow, a strong magnetic field with a stationary or oscillating configuration can be generated from a weak seed field. Seed fields could have been generated in the early Universe, e.g. at cosmological phase transitions, or in shocks in protogalactic halos (Biermann battery), or through fluctuations in the protogalactic plasma.

In astronomical objects like stars, planets or galaxies, an efficient dynamo needs turbulent motions and non-uniform (differential) rotation and is called alpha-Omega dynamo. It generates large-scale regular fields, even if the seed field was turbulent (order out of chaos). The regular field structure obtained in dynamo models is described by modes of different azimuthal symmetry in the disk and vertical symmetry perpendicular to the disk plane. Such modes can be identified from the pattern of polarization angles and Faraday rotation in multi-wavelength radio observations. Several modes can be excited in the same object.

In spherical bodies like stars or planets or galactic halos, the strongest mode is a double torus near the equator with a reversal across the equatorial plane, surrounded by a dipolar field (odd vertical symmetry). In flat objects, like galactic disks, the strongest mode is a single torus in the plane with a field of axisymmetric spiral shape, without a reversal across the plane, surrounded by a weaker quadrupolar field (even vertical symmetry). This mode is frequently observed. The next higher modes, the bisymmetric one of spiral shape with two field reversals in the disk, possibly excited by gravitational interaction, and the quadrisymmetric mode, possibly excited by spiral arms, were also found in several spiral galaxies, though both weaker than the axisymmetric mode. A large-scale field reversal at a certain radius, like the one found in the Milky Way, indicates a distortion of dynamo action, for example by gravitational interaction with a companion galaxy, or could be a relic from early times when the magnetic field was not yet fully organized.

## [edit] Results from Radio Observations

### [edit] Magnetic Field Strengths in Galaxies

Total magnetic field strengths can be determined from the intensity of total synchrotron emission, assuming energy balance (equipartition) between magnetic fields and cosmic rays. This assumption seems valid on large spatial and time scales, but deviations occur on local scales in galaxies. The typical average equipartition strength for spiral galaxies is about 10 μG (microGauss) or 1 nT (nanoTesla). For comparison, the Earth's magnetic field has an average strength of about 0.3 G (30 μT). Radio-faint galaxies like M 31 (Fig.3) and M 33, our Milky Way's neighbors, have weaker fields (about 5 μG), while gas-rich galaxies with high star-formation rates, like M 51 (Fig.1), M 83 and NGC 6946 (Fig.2), have 15 μG on average. In prominent spiral arms the field strength can be up to 25 μG, in regions where also cold gas and dust are concentrated. The strongest total equipartition fields (50-100 μG) were found in starburst galaxies, for example in M 82 and the Antennae, and in nuclear starburst regions, for example in the centers of NGC 1097 and of other barred galaxies.

Galactic fields are sufficiently strong to be dynamically important: they drive mass inflow into the centers of galaxies, they modify the formation of spiral arms and they can affect the rotation of gas in the outer regions of galaxies. Magnetic fields provide the transport of angular momentum required for the collapse of gas clouds and hence the formation of new stars.

The degree of radio polarization within the spiral arms is only a few %; the field in the spiral arms must be mostly tangled. The ordered (regular or anisotropic turbulent) fields traced by polarized synchrotron emission are generally strongest (10-15 μG) in the regions between the optical spiral arms. This can possibly be explained by a dynamo wave that is phase shifted with respect to the density wave producing the spiral arms. Alternatively, the large-scale dynamo may operate more efficiently in the inter-arm regions.

Figure 1: Optical image of the spiral galaxy M 51 obtained with the Hubble Space Telescope (from Hubble Heritage), overlaid by contours of the total radio intensity and polarization vectors at 6cm wavelength, combined from radio observations with the Effelsberg and VLA radio telescopes (from Fletcher et al. 2011). The magnetic field follows well the optical spiral structure, but the regions between the spiral arms also contain strong and ordered fields. The bar in the top right corner indicates a scale of 1 arcminute or about 9000 light years (about 3 kiloparsecs) at the distance of the galaxy. Copyright: MPIfR Bonn

### [edit] Magnetic Field Structures in Spiral Galaxies

The magnetic field forms nice spiral patterns in almost every galaxy, even in flocculent and bright irregular types which lack any spiral optical structure (Beck & Wielebinski 2013, Beck 2016). This is regarded as a strong argument for the action of galactic dynamos. Spiral fields are also observed in the central regions of galaxies and in circum-nuclear rings of gas. In galaxies with massive spiral arms, the magnetic field lines run mostly parallel to the optical arms, but are concentrated at the inner edge of the spiral arms or between the spiral arms (as an example, see Fig.1). In several galaxies, the field forms independent magnetic arms between the arms, as in NGC 6946 (Fig.2). In galaxies with massive bars, the field pattern seems to follow the gas flow. As the gas rotates faster than the spiral or bar pattern of a galaxy, a shock occurs in the cold gas which has a small sound speed, while the warm, diffuse gas is only slightly compressed. As the observed compression of the field in spiral arms and bars is also small, the ordered field is coupled to the warm gas and is strong enough to affect the flow of the warm gas.

Figure 2: Optical image of the spiral galaxy NGC 6946 in the Hα line (from Ferguson et al. 1998), overlaid by contours of the polarized radio intensity and radio polarization vectors at 6cm wavelength, combined from observations with the Effelsberg and VLA radio telescopes (from Beck and Hoernes 1996). This galaxy shows strong regular fields between the optical spiral arms. Copyright: MPIfR Bonn

Observations of the spiral galaxy IC 342, some 10 million light-years from Earth in the northern constellation Camelopardalis (the Giraffe), with the Effelsberg and VLA radio telescopes revealed a surprising result (Beck 2015). A huge, helically-twisted loop coiled around the galaxy's main spiral arm. Such a feature, never before seen in a galaxy, is strong enough to affect the flow of gas around the spiral arm.

Large-scale patterns of Faraday rotation observed in a few spiral galaxies reveal regular fields with a large-scale constant direction, as predicted by dynamo models. The Andromeda galaxy M 31 (Fig.3) hosts a dominating axisymmetric field, the basic dynamo mode, which extends to at least 15 kpc distance from the centre (one kiloparsec (kpc) corresponds to 3260 light years). The regular field is aligned along the 10-kpc ring of gas and star formation. A weaker bisymmetric mode is superimposed (Beck et al. 2020). Other candidates for a dominating axisymmetric field are the nearby spiral IC 342 and the irregular Large Magellanic Cloud (LMC). The field structures in M 51 and NGC 6946 (Figs.1 and 2) can be described by a superposition of two dynamo modes. However, in most galaxies observed so far no clear patterns of Faraday rotation could be found. Either many dynamo modes are superimposed and cannot be distinguished with the limited sensitivity and resolution of present-day telescopes, or most of the ordered fields traced by the polarization vectors are anisotropic (with frequent reversals), due to shearing or compressing gas flows.

Figure 3: Intensity of the total radio emission at 6cm wavelength (colours) and polarization vectors of the highly inclined Andromeda Galaxy, M 31, observed with the Effelsberg telescope (from Berkhuijsen, Beck and Hoernes 2003). The radio emission is concentrated in a ring-like structure at about 10 kiloparsec radius where the magnetic field is exceptionally regular on scales of several kiloparsecs. Copyright: MPIfR Bonn

Galaxies seen in edge-on view possess radio halos with exponential scale heights of 1-2 kpc. The magnetic field orientations are mainly parallel to the disk near the plane, but vertical components are visible at above and below the plane and also at large distances from the center (Fig.4). A prominent exception is the edge-on spiral galaxy NGC 4631 with the brightest and largest radio halo observed so far, composed of vertical magnetic spurs connected to star-forming regions in the disk. The observations support the idea of a galactic wind which is driven by star formation in the disk and transports gas, magnetic fields and cosmic-ray particles into the halo.

An extended review of magnetic fields in spiral galaxies can be found in Beck (2016).

Figure 4: Optical image in the Hα line of the spiral galaxy NGC 5775 which is seen almost edge-on, overlaid by contours of the intensity of the total radio emission at 6cm wavelength and polarization vectors, observed with the VLA (from Tullmann et al. 2000). The field lines are parallel to the disk near the plane, but turn vertically above and below the disk. Copyright: Cracow Observatory

### [edit] Magnetic Fields in the Milky Way

According to radio synchrotron, optical polarization and Zeeman splitting data, the average strength of the total magnetic field in the Milky Way is about 6 μG near the Sun and increases to 20-40 μG in the Galactic center region. Radio filaments near the Galactic center and dense clouds of cold molecular gas host fields of up to several mG strength (Heiles & Crutcher, in Wielebinski & Beck 2005). Outside the central region, the large-scale field is mostly parallel to the plane of the Galactic disk. Faraday rotation measurements from the polarized radio emission of pulsars with known distances allow to investigate the structure of the Milky Way's magnetic field in three dimensions with much higher resolution than in external galaxies. The overall field structure follows the optical spiral arms, like in other galaxies, but additionally one large-scale field reversal in the disk, at a Galactic radius inside of the location of the solar system, and several distortions near star-forming regions were discovered (Beck & Wielebinski 2013). More large-scale field reversals in the disk have been proposed, but need confirmation by improved observations.

The diffuse polarized radio emission from the Milky Way as observed with radio telescopes and with the WMAP satellite and the Faraday rotation measures (RM) from polarized background sources were analyzed to obtain an overall model of the Milky Way's magnetic field (Sun et al. 2008, Jansson & Farrar 2012). The field reversal inside the solar radius was confirmed. The sign of the magnetic field in the disk is the same above and below the plane, but a field reversal in the Milky Way halo beyond about 1 kpc height is required. Such a vertical reversal would be very hard to detect in external galaxies. RM measurements of sources behind the Galactic plane by Van Eck et al. (2011) gave further evidence that the Milky Way hosts a spiral field with one reversal.

Radio polarization surveys of the Milky Way also revealed a wealth of parsec-scale structures in the magnetized interstellar medium (e.g. Reich 2006).

## [edit] New and future Radio Telescopes

Present-day radio polarization observations are limited by sensitivity and angular resolution. The best available spatial resolution is 100-300 pc (one parsec (pc) corresponds to 3.26 light years) in the nearest spiral galaxies and 10 pc in the nearest galaxy, the Large Magellanic Cloud. The Jansky Very Large Array (VLA, https://public.nrao.edu/telescopes/vla) and the Square Kilometre Array (SKA, http://www.skatelescope.org), construction of phase 1 planned for 2021-2025 at two sites (Southern Africa and Western Australia), will have much improved sensitivity at centimetre and decimetre wavelengths (Carilli & Rawlings 2004, Beck 2010). The SKA will allow to study magnetic field structures in galaxies at resolutions more than 10 times better than today (Beck et al. 2015). The SKA will discover thousands of new pulsars in the Milky Way which will enormously increase the number of Faraday rotation measurements and hence provide a detailed map of the magnetic field structure.

At long wavelengths of a few metres, a new-generation radio telescope, the Low Frequency Array (LOFAR), has started full operation in 2012. 38 of the 52 stations are operating in the Netherlands (http://www.lofar.org), six in Germany (http://www.lofar.de), three in Poland (http://www.oa.uj.edu.pl/lofar), and one each in the UK (http://www.lofar-uk.org), in France (http://www.obs-nancay.fr/index.php/en/instruments/lofar), in Sweden (http://lofar-se.org), in Ireland (https://lofar.ie), and in Latvia. Among many other observing possibilities, LOFAR is able to trace radio synchrotron emission from low-energy cosmic rays in weak magnetic fields. This allows us to observe the outermost regions of galaxies which are only accessible via radio waves. The first galaxy observed in detail is M 51 (Mulcahy et al. 2014).

## [edit] References

Beck, R.: Square Kilometre Array, Scholarpedia, 5(3):9321 (2010) (updated) (http://www.scholarpedia.org/article/Square_kilometre_array)

Beck, R.: Magnetic fields in the nearby spiral galaxy IC 342, Astronomy & Astrophysics, 578:A93 (2015) (see also press release: http://www.mpifr-bonn.mpg.de/pressreleases/2015/6)

Beck, R.: Magnetic Fields in Spiral Galaxies, Astronomy and Astrophysics Review, Volume 24:4 (2016) (https://link.springer.com/article/10.1007/s00159-015-0084-4)

Beck, R., Hoernes, P.: Magnetic Spiral Arms in the Galaxy NGC 6946, Nature, 379, p. 47-49 (1996) (http://cdsads.u-strasbg.fr/abs/1996Natur.379...47B)

Beck, R., Wielebinski, R.: Magnetic Fields in Galaxies, in: Planets, Stars and Stellar Systems Vol. 5, Springer, Dordrecht 2013, p. 641-724 (see also updates on http://arxiv.org/abs/1302.5663)

Beck, R., Brandenburg, A., Moss, D., Shukurov, A., Sokoloff, D.: Galactic Magnetism: Recent Developments and Perspectives, Annual Review of Astronomy and Astrophysics, 34, p. 155-206 (http://nedwww.ipac.caltech.edu/level5/araa.html)

Beck, R., et al.: Structure, Dynamical Impact and Origin of Magnetic Fields in Nearby Galaxies in the SKA Era, PoS(AASKA14)094 (2015) (http://adsabs.harvard.edu/abs/2015arXiv150100385B)

Beck, R., Chamandy, L., Elson, E., Blackman, E.G.: Synthesizing Observations and Theory to Understand Galactic Magnetic Fields: Progress and Challenges, Galaxies, 8:4 (2019) (https://ui.adsabs.harvard.edu/#abs/2019Galax...8....4B)

Beck, R., Berkhuijsen, E.M., Giessuebel, R., Mulcahy, D.D.: Magnetic fields and cosmic rays in M 31, Astronomy & Astrophysics, 633:A5 (2020) (https://ui.adsabs.harvard.edu/#abs/2020A&A...633A...5B)

Berkhuijsen, E.M., Beck, R., Hoernes, P.: The Polarized Disk in M 31 at λ 6cm, Astronomy & Astrophysics, 398, p. 937-948 (2003)

Brandenburg, A., Subramanian, K.: Astrophysical Magnetic Fields and Nonlinear Dynamo Theory, Physics Reports, 417, p. 1-209 (2005)

Carilli, C., Rawlings, S.: Science with the Square Kilometre Array, New Astronomy Reviews, 48, Elsevier, Amsterdam 2004 (http://www.mpifr-bonn.mpg.de/staff/rbeck/magnetism.pdf and http://www.mpifr-bonn.mpg.de/staff/rbeck/galaxies.pdf)

Ferguson, A.M.N., Wyse, R.F.G., Gallagher, J.S., et al.: Discovery of Recent Star Formation in the Extreme Outer Regions of Disk Galaxies, Astrophysical Journal, 506, p. L19-L22 (1998)

Fletcher, A., Beck, R., Shukurov, A., Berkhuijsen, E.M., Horellou, C.: Magnetic fields and spiral arms in the galaxy M 51, Monthly Notices of the Royal Astronomical Society, 412, p. 2396-2416 (2011)

Jansson, R., Farrar, G.R.: A New Model of the Galactic Magnetic Field, Astrophysical Journal, 757:14 (2012)

Mulcahy, D.D., Horneffer, A., Beck, R., et al.: The Nature of the Low-frequency emission of M 51, Astronomy & Astrophysics, 568, A74 (2014) (see also press release: http://www.mpifr-bonn.mpg.de/pressreleases/2014/9)

Reich, W.: Galactic Polarization Surveys, in: Cosmic Polarization (ed. R. Fabbri), Research Signpost, Kerala 2006, p. 91-130

Sun, X.H., Reich, W., Waelkens, A., Enßlin, T.A.: Radio Observational Constraints on Galactic 3D-emission Models, Astronomy & Astrophysics, 477, p. 573-592 (2008)

Tullmann, R., Dettmar, R.J., Soida, M., Urbanik, U., Rossa, J.: The Thermal and Non-thermal Gaseous Halo of NGC5775, Astronomy & Astrophysics, 364, p. L36-L41 (2000)

Van Eck, C.L., Brown, J.C., Stil, J.M., et al.: Modeling the Magnetic Field in the Galactic Disk Using New Rotation Measure Observations from the Very Large Array, Astrophysical Journal, 728:97 (2011)

Widrow, L.M.: Origin of Galactic and Extragalactic Magnetic Fields, Reviews in Modern Physics, 74, p. 775-823 (2002)

## [edit] Further Reading

Bührke, T.: Forces that Rule in Galaxies, Max Planck Research 1/2015, p.34-41 (http://www.mpg.de/9093617/F003_Focus_034-041.pdf)

Klein, U., Fletcher, A.: Galactic and Intergalactic Magnetic Fields, Springer, Heidelberg 2015

Rudiger, G., Hollerbach, R.: The Magnetic Universe, Wiley-VCH, Weinheim 2004

Wielebinski, R., Beck, R.: Cosmic Magnetic Fields, Springer, Heidelberg 2005 (http://www.mpifr-bonn.mpg.de/staff/rbeck/springer.pdf)

## [edit] External Links

* Rainer Beck's website

## [edit] See Also