Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-05-13T06:25:48.683Z Has data issue: false hasContentIssue false

Magnetorotational instability in cool cores of galaxy clusters

Published online by Cambridge University Press:  13 July 2015

Carlo Nipoti*
Affiliation:
Dipartimento di Fisica e Astronomia, Università di Bologna, viale Berti-Pichat 6/2, 40127 Bologna, Italy
L. Posti
Affiliation:
Dipartimento di Fisica e Astronomia, Università di Bologna, viale Berti-Pichat 6/2, 40127 Bologna, Italy
S. Ettori
Affiliation:
INAF, Osservatorio Astronomico di Bologna, via Ranzani 1, 40127 Bologna, Italy INFN, Sezione di Bologna, viale Berti-Pichat 6/2, 40127 Bologna, Italy
M. Bianconi
Affiliation:
Institute of Astro and Particle Physics, University of Innsbruck, 6020 Innsbruck, Austria
*
Email address for correspondence: carlo.nipoti@unibo.it

Abstract

Clusters of galaxies are embedded in halos of optically thin, gravitationally stratified, weakly magnetized plasma at the system’s virial temperature. Owing to radiative cooling and anisotropic heat conduction, such intracluster medium (ICM) is subject to local instabilities, which are combinations of the thermal, magnetothermal and heat-flux-driven buoyancy instabilities. If the ICM rotates significantly, its stability properties are substantially modified and, in particular, also the magnetorotational instability (MRI) can play an important role. We study simple models of rotating cool-core clusters and we demonstrate that the MRI can be the dominant instability over significant portions of the clusters, with possible implications for the dynamics and evolution of the cool cores. Our results give further motivation for measuring the rotation of the ICM with future X-ray missions such as ASTRO-H and ATHENA.

Type
Research Article
Copyright
© Cambridge University Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Balbus, S. A. 2000 Stability, instability, and backward transport in stratified fluids. Astrophys. J. 534, 420427.Google Scholar
Balbus, S. A. 2001 Convective and rotational stability of a dilute plasma. Astrophys. J. 562, 909917.CrossRefGoogle Scholar
Balbus, S. A. 2004 Viscous shear instability in weakly magnetized, dilute plasmas. Astrophys. J. 616, 857864.Google Scholar
Balbus, S. A., Gammie, C. F. & Hawley, J. F. 1994 Fluctuations, dissipation and turbulence in accretion discs. Mon. Not. R. Astron. Soc. 271, 197201.Google Scholar
Balbus, S. A. & Hawley, J. F. 1991 A powerful local shear instability in weakly magnetized disks. I – Linear analysis. II – Nonlinear evolution. Astrophys. J. 376, 214233.CrossRefGoogle Scholar
Bianconi, M., Ettori, S. & Nipoti, C. 2013 Gas rotation in galaxy clusters: signatures and detectability in X-rays. Mon. Not. R. Astron. Soc. 434, 15651575; (BEN13).Google Scholar
Binney, J., Nipoti, C. & Fraternali, F. 2009 Do high-velocity clouds form by thermal instability? Mon. Not. R. Astron. Soc. 397, 18041815.Google Scholar
Braginskii, S. I. 1965 Transport processes in a plasma. Rev. Plasma Phys. 1, 205311.Google Scholar
Brüggen, M. 2013 Magnetic fields in galaxy clusters. Astron. Nachr. 334, 543547.CrossRefGoogle Scholar
Chandrasekhar, S. 1960 The stability of non-dissipative Couette flow in hydromagnetics. Proc. Natl Acad. Sci. USA 46, 253257.Google Scholar
Ciotti, L. & Ostriker, J. P. 2007 Radiative feedback from massive black holes in elliptical galaxies: AGN flaring and central starburst fueled by recycled gas. Astrophys. J. 665, 10381056.CrossRefGoogle Scholar
Donahue, M., Voit, G. M., Mahdavi, A., Umetsu, K., Ettori, S., Merten, J., Postman, M., Hoffer, A., Baldi, A., Coe, D., Czakon, N., Bartelmann, M., Benitez, N., Bouwens, R., Bradley, L., Broadhurst, T., Ford, H., Gastaldello, F., Grillo, C., Infante, L., Jouvel, S., Koekemoer, A., Kelson, D., Lahav, O., Lemze, D., Medezinski, E., Melchior, P., Meneghetti, M., Molino, A., Moustakas, J., Moustakas, L. A., Nonino, M., Rosati, P., Sayers, J., Seitz, S., Van der Wel, A., Zheng, W. & Zitrin, A. 2014 CLASH-X: a comparison of lensing and X-ray techniques for measuring the mass profiles of galaxy clusters. Astrophys. J. 794, 136.Google Scholar
Ettori, S., Pratt, G. W., de Plaa, J., Eckert, D., Nevalainen, J., Battistelli, E. S., Borgani, S., Croston, J. H., Finoguenov, A., Kaastra, J., Gaspari, M., Gastaldello, F., Gitti, M., Molendi, S., Pointecouteau, E., Ponman, T. J., Reiprich, T. H., Roncarelli, M., Rossetti, M., Sanders, J. S., Sun, M., Trinchieri, G., Vazza, F., Arnaud, M., Böringher, H., Brighenti, F., Dahle, H., De Grandi, S., Mohr, J. J., Moretti, A. & Schindler, S.2013 The hot and energetic universe: the astrophysics of galaxy groups and clusters. ArXiv e-prints, arXiv:1306.2322.Google Scholar
Fang, T., Humphrey, P. & Buote, D. 2009 Rotation and turbulence of the hot intracluster medium in galaxy clusters. Astrophys. J. 691, 16481659.Google Scholar
Ferraro, V. C. A. 1937 The non-uniform rotation of the Sun and its magnetic field. Mon. Not. R. Astron. Soc. 97, 458472.CrossRefGoogle Scholar
Field, G. B. 1965 Thermal instability. Astrophys. J. 142, 531567.CrossRefGoogle Scholar
Gaspari, M., Ruszkowski, M. & Sharma, P. 2012 Cause and effect of feedback: multiphase gas in cluster cores heated by AGN jets. Astrophys. J. 746, 94.CrossRefGoogle Scholar
Heckman, T. M. 1981 Optical emission-line gas associated with dominant cluster galaxies. Astrophys. J. Lett. 250, L59L63.CrossRefGoogle Scholar
Hoekstra, H., Herbonnet, R., Muzzin, A., Babul, A., Mahdavi, A., Viola, M. & Cacciato, M. 2015 The Canadian cluster comparison project: detailed study of systematics and updated weak lensing masses. Mon. Not. R. Astron. Soc. 449, 685714.Google Scholar
Kitayama, T., Bautz, M., Markevitch, M., Matsushita, K., Allen, S., Kawaharada, M., McNamara, B., Ota, N., Akamatsu, H., de Plaa, J., Galeazzi, M., Madejski, G., Main, R., Miller, E., Nakazawa, K., Russell, H., Sato, K., Sekiya, N., Simionescu, A., Tamura, T., Uchida, Y., Ursino, E., Werner, N., Zhuravleva, I. & ZuHone, J.(On behalf of the ASTRO-H Science Working Group) 2014 ASTRO-H White Paper – Clusters of galaxies and related science. ArXiv e-prints, arXiv:1412.1176.Google Scholar
Kunz, M. W. 2011 Dynamical stability of a thermally stratified intracluster medium with anisotropic momentum and heat transport. Mon. Not. R. Astron. Soc. 417, 602616.Google Scholar
Kunz, M. W., Bogdanović, T., Reynolds, C. S. & Stone, J. M. 2012 Buoyancy instabilities in a weakly collisional intracluster medium. Astrophys. J. 754, 122.Google Scholar
Latter, H. N. & Kunz, M. W. 2012 The HBI in a quasi-global model of the intracluster medium. Mon. Not. R. Astron. Soc. 423, 19641972.Google Scholar
Lau, E. T., Nagai, D., Kravtsov, A. V., Vikhlinin, A. & Zentner, A. R. 2012 Constraining cluster physics with the shape of X-ray clusters: comparison of local X-ray clusters versus ${\rm\Lambda}$ CDM clusters. Astrophys. J. 755, 116.Google Scholar
Lau, E. T., Nagai, D. & Nelson, K. 2013 Weighing galaxy clusters with gas. I. On the methods of computing hydrostatic mass bias. Astrophys. J. 777, 151.Google Scholar
von der Linden, A., Mantz, A., Allen, S. W., Applegate, D. E., Kelly, P. L., Morris, R. G., Wright, A., Allen, M. T., Burchat, P. R., Burke, D. L., Donovan, D. & Ebeling, H. 2014 Robust weak-lensing mass calibration of Planck galaxy clusters. Mon. Not. R. Astron. Soc. 443, 19731978.Google Scholar
Malagoli, A., Rosner, R. & Bodo, G. 1987 On the thermal instability of galactic and cluster halos. Astrophys. J. 319, 632636.Google Scholar
McCourt, M., Parrish, I. J., Sharma, P. & Quataert, E. 2011 Can conduction induce convection? On the nonlinear saturation of buoyancy instabilities in dilute plasmas. Mon. Not. R. Astron. Soc. 413, 12951310.Google Scholar
McCourt, M., Sharma, P., Quataert, E. & Parrish, I. J. 2012 Thermal instability in gravitationally stratified plasmas: implications for multiphase structure in clusters and galaxy haloes. Mon. Not. R. Astron. Soc. 419, 33193337.CrossRefGoogle Scholar
Meneghetti, M., Rasia, E., Merten, J., Bellagamba, F., Ettori, S., Mazzotta, P., Dolag, K. & Marri, S. 2010 Weighing simulated galaxy clusters using lensing and X-ray. Astron. Astrophys. 514, A93.Google Scholar
Nagai, D., Lau, E. T., Avestruz, C., Nelson, K. & Rudd, D. H. 2013 Predicting merger-induced gas motions in ${\rm\Lambda}$ CDM galaxy clusters. Astrophys. J. 777, 137.CrossRefGoogle Scholar
Navarro, J. F., Frenk, C. S. & White, S. D. M. 1995 Simulations of X-ray clusters. Mon. Not. R. Astron. Soc. 275, 720740.Google Scholar
Nelson, K., Lau, E. T., Nagai, D., Rudd, D. H. & Yu, L. 2014 Weighing galaxy clusters with gas. II. On the origin of hydrostatic mass bias in ${\rm\Lambda}$ CDM galaxy clusters. Astrophys. J. 782, 107.CrossRefGoogle Scholar
Nipoti, C. 2010 Thermal instability in rotating galactic coronae. Mon. Not. R. Astron. Soc. 406, 247263.Google Scholar
Nipoti, C. & Binney, J. 2004 Cold filaments in galaxy clusters: effects of heat conduction. Mon. Not. R. Astron. Soc. 349, 15091515.Google Scholar
Nipoti, C. & Posti, L. 2013 Thermal stability of a weakly magnetized rotating plasma. Mon. Not. R. Astron. Soc. 428, 815827; (NP13).CrossRefGoogle Scholar
Nipoti, C. & Posti, L. 2014 On the Nature of local instabilities in rotating galactic coronae and cool cores of galaxy clusters. Astrophys. J. 792, 21; (NP14).CrossRefGoogle Scholar
Parrish, I. J., McCourt, M., Quataert, E. & Sharma, P. 2012 The effects of anisotropic viscosity on turbulence and heat transport in the intracluster medium. Mon. Not. R. Astron. Soc. 422, 704718.Google Scholar
Parrish, I. J., Quataert, E. & Sharma, P. 2009 Anisotropic thermal conduction and the cooling flow problem in galaxy clusters. Astrophys. J. 703, 96108.CrossRefGoogle Scholar
Pinto, C., Sanders, J. S., Werner, N., de Plaa, J., Fabian, A. C., Zhang, Y.-Y., Kaastra, J. S., Finoguenov, A. & Ahoranta, J. 2015 Chemical Enrichment RGS Cluster Sample (CHEERS): constraints on turbulence. Astron. Astrophys. 575, A38.Google Scholar
Quataert, E. 2008 Buoyancy instabilities in weakly magnetized low-collisionality plasmas. Astrophys. J. 673, 758762.Google Scholar
Quataert, E., Dorland, W. & Hammett, G. W. 2002 The magnetorotational instability in a collisionless plasma. Astrophys. J. 577, 524533.Google Scholar
Rasia, E., Meneghetti, M., Martino, R., Borgani, S., Bonafede, A., Dolag, K., Ettori, S., Fabjan, D., Giocoli, C., Mazzotta, P., Merten, J., Radovich, M. & Tornatore, L. 2012 Lensing and X-ray mass estimates of clusters (simulations). New J. Phys. 14 (5), 055018.Google Scholar
Sanders, J. S. & Fabian, A. C. 2013 Velocity width measurements of the coolest X-ray emitting material in the cores of clusters, groups and elliptical galaxies. Mon. Not. R. Astron. Soc. 429, 27272738.CrossRefGoogle Scholar
Sereno, M. & Ettori, S. 2015 Comparing masses in literature (CoMaLit) – I. Bias and scatter in weak lensing and X-ray mass estimates of clusters. Mon. Not. R. Astron. Soc. 450, 36333648.Google Scholar
Spitzer, L. 1962 Physics of Fully Ionized Gases, 2nd edn. Interscience.Google Scholar
Sutherland, R. S. & Dopita, M. A. 1993 Cooling functions for low-density astrophysical plasmas. Astrophys. J. Suppl. 88, 253327.CrossRefGoogle Scholar
Takahashi, T., Mitsuda, K., Kelley, R., Fabian, A., Mushotzky, R., Ohashi, T. & Petre, R.(On behalf of the ASTRO-H Science Working Group) 2014 ASTRO-H White Paper – Introduction. ArXiv e-prints, arXiv:1412.2351.Google Scholar
Velikhov, E. P. 1959 Stability of an ideally conducting liquid flowing between cylinders rotating in a magnetic field. Sov. Phys. JETP 9, 995.Google Scholar
Voit, G. M. & Donahue, M. 2015 Cooling time, freefall time, and precipitation in the cores of ACCEPT galaxy clusters. Astrophys. J. Lett. 799, L1.Google Scholar
Zhuravleva, I., Churazov, E., Schekochihin, A. A., Allen, S. W., Arévalo, P., Fabian, A. C., Forman, W. R., Sanders, J. S., Simionescu, A., Sunyaev, R., Vikhlinin, A. & Werner, N. 2014 Turbulent heating in galaxy clusters brightest in X-rays. Nature 515, 8587.Google Scholar