8,920 research outputs found

    Decoupled hot gas flows in elliptical galaxies

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    We present the results of a new set of hydrodynamical simulations of hot gas flows in model elliptical galaxies with the following characteristics: the spatial luminosity distribution approaches a power law form at small radii, in accordance with the results of recent ground based observations, and with the Hubble Space Telescope; the dark matter has a peaked profile too, as indicated by high resolution numerical simulations of dissipationless collapse; the dark to luminous mass ratio spans a large range of values, including low values found by optical studies confined to within two effective radii; finally, the type Ia supernova rate is that given by the latest estimates of optical surveys, or zero, as suggested by the iron abundances recently measured in the hot gas. We find that the resulting gas flows are strongly decoupled: an inflow develops in the central region of the galaxies, while the external parts are still degassing, i.e., the flows are mostly partial winds. This behavior can be explained in terms of the local energy balance of the hot gas. A large spread in the X-ray luminosity Lx at fixed optical luminosity Lb can be produced as in previous simulations that used King models plus massive quasi-isothermal dark halos, and higher supernova rates; the key factor causing large Lx variations is now the size of the central inflow region. The highest Lx observed correspond to global inflows. Finally, non negligible amounts of cold gas can be produced by the partial winds; this could be an explanation for the possible discovery of cold matter at the center of elliptical galaxies, an alternative to the presence of a steady state cooling flow.Comment: 13 pages, plus 7 .ps figures, 2 .ps tables, LaTeX macro l-aa.sty, in press on A&

    Isothermal Bondi accretion in Jaffe and Hernquist galaxies with a central black hole: fully analytical solutions

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    One of the most active fields of research of modern-day astrophysics is that of massive black hole formation and co-evolution with the host galaxy. In these investigations, ranging from cosmological simulations, to semi-analytical modeling, to observational studies, the Bondi solution for accretion on a central point mass is widely adopted. In this work we generalize the classical Bondi accretion theory to take into account the effects of the gravitational potential of the host galaxy, and of radiation pressure in the optically thin limit. Then, we present the fully analytical solution, in terms of the Lambert-Euler WW-function, for isothermal accretion in Jaffe and Hernquist galaxies with a central black hole. The flow structure is found to be sensitive to the shape of the mass profile of the host galaxy. These results and the formulae that are provided, mostly important the one for the critical accretion parameter, allow for a direct evaluation of all flow properties, and are then useful for the above mentioned studies. As an application, we examine the departure from the true mass accretion rate of estimates obtained using the gas properties at various distances from the black hole, under the hypothesis of classical Bondi accretion. An overestimate is obtained from regions close to the black hole, and an underestimate outside a few Bondi radii; the exact position of the transition between the two kinds of departure depends on the galaxy model.Comment: 18 pages, 6 figures, submitted to ApJ, comments welcom

    Star formation in early-type galaxies: the role of stellar winds and kinematics

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    Early-type galaxies (ETGs) host a hot ISM produced mainly by stellar winds, and heated by Type Ia supernovae and the thermalization of stellar motions. High resolution 2D hydrodynamical simulations showed that ordered rotation in the stellar component results in the formation of a centrifugally supported cold equatorial disc. In a recent numerical investigation we found that subsequent generations of stars are formed in this cold disc; this process consumes most of the cold gas, leaving at the present epoch cold masses comparable to those observed. Most of the new stellar mass formed a few Gyrs ago, and resides in a disc.Comment: 2 pages, 1 figure, to appear in proceedings of IAU Symposium 315, "From Interstellar Clouds to Star-Forming Galaxies: Universal Processes?", P. Jablonka, F. Van der Tak & P. Andre', ed

    Spaceability and algebrability of sets of nowhere integrable functions

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    We show that the set of Lebesgue integrable functions in [0,1][0,1] which are nowhere essentially bounded is spaceable, improving a result from [F. J. Garc\'{i}a-Pacheco, M. Mart\'{i}n, and J. B. Seoane-Sep\'ulveda. \textit{Lineability, spaceability, and algebrability of certain subsets of function spaces,} Taiwanese J. Math., \textbf{13} (2009), no. 4, 1257--1269], and that it is strongly c\mathfrak{c}-algebrable. We prove strong c\mathfrak{c}-algebrability and non-separable spaceability of the set of functions of bounded variation which have a dense set of jump discontinuities. Applications to sets of Lebesgue-nowhere-Riemann integrable and Riemann-nowhere-Newton integrable functions are presented as corollaries. In addition we prove that the set of Kurzweil integrable functions which are not Lebesgue integrable is spaceable (in the Alexievicz norm) but not 1-algebrable. We also show that there exists an infinite dimensional vector space SS of differentiable functions such that each element of the C([0,1])C([0,1])-closure of SS is a primitive to a Kurzweil integrable function, in connection to a classic spaceability result from [V. I. Gurariy, \textit{Subspaces and bases in spaces of continuous functions (Russian),} Dokl. Akad. Nauk SSSR, \textbf{167} (1966), 971-973].Comment: Accepted for publication in 201
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