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Regulation of the X-ray luminosity of clusters of galaxies by cooling and supernova feedback

Abstract

Clusters of galaxies are thought to contain about ten times as much dark matter as baryonic matter1. The dark component therefore dominates the gravitational potential of a cluster, and the baryons confined by this potential radiate X-rays with a luminosity that depends mainly on the gas density in the cluster's core2. Predictions of the X-rays' properties based on models of cluster formation do not, however, agree with the observations. If the models ignore the condensation of cooling gas into stars and feedback from the associated supernovae, they overestimate the X-ray luminosity because the density of the core gas is too high. An early episode of uniformly distributed supernova feedback could rectify this by heating the uncondensed gas and therefore making it harder to compress into the core3,4,5,6,7,8,9,10,11, but such a process seems to require an implausibly large number of supernovae6,8,12,13,14. Here we show how radiative cooling of intergalactic gas and subsequent supernova heating conspire to eliminate highly compressible low-entropy gas from the intracluster medium. This brings the core entropy and X-ray luminosities of clusters into agreement with the observations, in a way that depends little on the efficiency of supernova heating in the early Universe.

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Figure 1: Threshold entropy for cooling within the age of the universe.
Figure 2: Relation between bolometric X-ray luminosity LX and luminosity-weighted temperature Tlum in clusters and groups of galaxies.

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References

  1. Evrard, A. E. The intracluster gas fraction in X-ray clusters: constraints on the clustered mass density. Mont. Not. R. Astron. Soc. 292, 289–297 (1997).

    Article  ADS  CAS  Google Scholar 

  2. Sarazin, C. L. X-ray Emissions from Clusters of Galaxies (Cambridge Univ. Press, Cambridge, 1988).

    Google Scholar 

  3. Evrard, A. E. & Henry, J. P. Expectations for X-ray cluster observations by the ROSAT satellite. Astrophys. J. 383, 95–103 (1991).

    Article  ADS  Google Scholar 

  4. Kaiser, N. Evolution of clusters of galaxies. Astrophys. J. 383, 104–111 (1991).

    Article  ADS  Google Scholar 

  5. Ponman, T. J., Cannon, D. B. & Navarro, J. F. The thermal imprint of galaxy formation on X-ray clusters. Nature 397, 135–137 (1999).

    Article  ADS  CAS  Google Scholar 

  6. Balogh, M. L., Babul, A. & Patton, D. R. Pre-heated isentropic gas in groups of galaxies. Mon. Not. R. Astron. Soc. 307, 463–479 (1999).

    Article  ADS  Google Scholar 

  7. Wu, K. K. S., Fabian, A. C. & Nulsen, P. E. J. The effect of supernova heating on cluster properties and constraints on galaxy formation models. Mon. Not. R. Astron. Soc. 301, L20–L24 (1998).

    Article  ADS  Google Scholar 

  8. Wu, K. K. S., Fabian, A. C. & Nulsen, P. E. J. Non-gravitational heating in the hierarchical formation of X-ray clusters. Mon. Not. R. Astron. Soc. 318, 889–912 (2000).

    Article  ADS  Google Scholar 

  9. Cavaliere, A., Menci, N. & Tozzi, P. Hot gas in clusters of galaxies: the punctuated equilibria model. Mon. Not. R. Astron. Soc. 308, 599–608 (1999).

    Article  ADS  Google Scholar 

  10. Tozzi, P. & Norman, C. The evolution of X-ray clusters and the entropy of the intracluster medium. Astrophys. J. 546, 63–84 (2001).

    Article  ADS  CAS  Google Scholar 

  11. Bialek, J. J., Evrard, A. E. & Mohr, J. J. Effects of preheating on X-ray scaling relations in galaxy clusters. Astrophys. J. 555, 597–612 (2001).

    Article  ADS  Google Scholar 

  12. Bryan, G. L. Explaining the entropy excess in clusters and groups of galaxies without additional heating. Astrophys. J. 544, L1–L5 (2001).

    Article  ADS  Google Scholar 

  13. Kravtsov, A. V. & Yepes, G. On the supernova heating of the intergalactic medium. Mon. Not. R. Astron. Soc. 318, 227–238 (2000).

    Article  ADS  Google Scholar 

  14. Bower, R. et al. The impact of galaxy formation on the X-ray evolution of clusters. Mon. Not. R. Astron. Soc. 325, 497–508 (2001).

    Article  ADS  CAS  Google Scholar 

  15. Navarro, J. F., Frenk, C. S. & White, S. D. M. A universal density profile from hierarchical clustering. Astrophys. J. 490, 493–508 (1997).

    Article  ADS  Google Scholar 

  16. Frenk, C. S. et al. The Santa Barbara cluster comparison project: a comparison of cosmological hydrodynamics simulations. Astrophys. J. 525, 554–582 (1999).

    Article  ADS  Google Scholar 

  17. Edge, A. C. & Stewart, G. C. EXOSAT observations of clusters of galaxies. I—The X-ray data. Mon. Not. R. Astron. Soc. 252, 414–427 (1991).

    Article  ADS  CAS  Google Scholar 

  18. Markevitch, M. The L X-T relation and temperature function for nearby clusters revisited. Astrophys. J. 504, 27–34 (1998).

    Article  ADS  Google Scholar 

  19. Arnaud, M. & Evrard, A. E. The L X-T relation and intracluster gas fractions of X-ray clusters. Mon. Not. R. Astron. Soc. 305, 631–640 (1999).

    Article  ADS  Google Scholar 

  20. Pen, U. Heating of the intergalactic medium. Astrophys. J. 510, L1–L5 (1999).

    Article  ADS  CAS  Google Scholar 

  21. Voit, G. M. & Bryan, G. L. On the distribution of X-ray surface brightness from diffuse gas. Astrophys. J. 551, L139–L142 (2001).

    Article  ADS  CAS  Google Scholar 

  22. Bryan, G. L. & Voit, G. M. The X-ray surface brightness distribution from diffuse gas. Astrophys. J. 556, 590–600 (2001).

    Article  ADS  Google Scholar 

  23. Wu, K. K. S., Fabian, A. C. & Nulsen, P. E. J. The soft X-ray background: evidence for widespread disruption of the gas halos of galaxy groups. Mon. Not. R. Astron. Soc. 324, 95–107 (2001).

    Article  ADS  CAS  Google Scholar 

  24. Knight, P. A. & Ponman, T. J. The properties of the hot gas in galaxy groups and clusters from 1D hydrodynamical simulations—I. Cosmological infall models. Mon. Not. R. Astron. Soc. 289, 955–972 (1997).

    Article  ADS  Google Scholar 

  25. Pearce, F. R., Thomas, P. A., Couchman, H. M. P. & Edge, A. C. The effect of radiative cooling on the X-ray properties of galaxy clusters. Mon. Not. R. Astron. Soc. 317, 1029–1049 (2000).

    Article  ADS  CAS  Google Scholar 

  26. Muanwong, O., Thomas, P. A., Kay, S. T., Pearce, F. R. & Couchman, H. M. P. The effect of radiative cooling on scaling laws of clusters and groups. Astrophys. J. 552, L27–L30 (2001).

    Article  ADS  Google Scholar 

  27. Fabian, A. C., Crawford, C. S., Edge, A. C. & Mushotsky, R. F. Cooling flows and the X-ray luminosity-temperature relation for clusters. Mon. Not. R. Astron. Soc. 267, 779–784 (1994).

    Article  ADS  Google Scholar 

  28. Balogh, M., Pearce, F. R., Bower, R. G. & Kay, S. T. Revisiting the cosmic cooling crisis. Mon. Not. R. Astron. Soc. 326, 1228–1234 (2001).

    Article  ADS  Google Scholar 

  29. Eke, V., Navarro, J. F. & Steinmetz, M. The power spectrum dependence of dark matter halo concentrations. Astrophys. J. 554, 114–125 (2001).

    Article  ADS  Google Scholar 

  30. Helsdon, S. F. & Ponman, T. J. The intragroup medium in loose groups of galaxies. Mon. Not. R. Astron. Soc. 315, 356–370 (2000).

    Article  ADS  Google Scholar 

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Acknowledgements

We thank R. Bower and M. Balogh for discussions. G.M.V. receives partial support from NASA, and G.L.B. is supported by NASA through a Hubble fellowship.

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Correspondence to G. Mark Voit.

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Voit, G., Bryan, G. Regulation of the X-ray luminosity of clusters of galaxies by cooling and supernova feedback. Nature 414, 425–427 (2001). https://doi.org/10.1038/35106523

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