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Scaling relation between Sunyaev–Zel’dovich effect and X-ray luminosity and scale-free evolution of cosmic baryon field

Department of Astronomy, Beijing Normal University, Beijing 100875, PR China; Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918-3, Beijing 100049, PR China; Kavli Institute for Theoretical Physics China, Institute of Theoretical Physics, Chinese Academy of Sciences (KITPC/ITP-CAS), P.O. Box 2735, Beijing 100080, PR China; Department of Physics, University of Arizona, Tucson AZ 85721, United States; Purple Mountain Observatory, Nanjing 210008, PR China; National Astronomical Observatories, Chinese Academy of Science, Chao-Yang District, Beijing 100012, PR China; Beijing Planetarium, Beijing 100044, PR China
New Astronomy (Impact Factor: 1.85). 07/2008; DOI: 10.1016/j.newast.2008.07.004
Source: arXiv

ABSTRACT It has been revealed recently that, in the scale free range, i.e. from the scale of the onset of nonlinear evolution to the scale of dissipation, the velocity and mass density fields of cosmic baryon fluid are extremely well described by the self-similar log-Poisson hierarchy. As a consequence of this evolution, the relations among various physical quantities of cosmic baryon fluid should be scale invariant, if the physical quantities are measured in cells on scales larger than the dissipation scale, regardless the baryon fluid is in virialized dark halo, or in pre-virialized state. We examine this property with the relation between the Compton parameter of the thermal Sunyaev–Zel’dovich effect, y(r), and X-ray luminosity, Lx(r), where r being the scale of regions in which y and Lx are measured. According to the self-similar hierarchical scenario of nonlinear evolution, one should expect that (1) in the y(r) − Lx(r) relation, y(r) = 10A(r)[Lx(r)]α(r), the coefficients A(r) and α(r) are scale-invariant; (2) The relation y(r) = 10A(r)[Lx(r)]α(r) given by cells containing collapsed objects is also available for cells without collapsed objects, only if r is larger than the dissipation scale. These two predictions are well established with a scale decomposition analysis of observed data, and a comparison of observed y(r) − Lx(r) relation with hydrodynamic simulation samples. The implication of this result on the characteristic scales of non-gravitational heating is also addressed.

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