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Profiles of dark haloes: evolution, scatter and environment

James S. BullockDepartment of Astronomy, Ohio State University, Columbus, OH 43210, USATsafrir KolattPhysics Department, University of California, Santa Cruz, CA 95064, USAYair SigadRacah Institute of Physics, The Hebrew University, Jerusalem, IsraelRachel SomervilleInstitute of Astronomy, Madingley Road, Cambridge CB3 0HAAndrey V. KravtsovAstronomy Department, New Mexico Sate University, Box 30001, Dept. 4500, Las Cruces, NM 88003-0001, USAA. A. KlypinAstronomy Department, New Mexico Sate University, Box 30001, Dept. 4500, Las Cruces, NM 88003-0001, USAJoel R. PrimackPhysics Department, University of California, Santa Cruz, CA 95064, USAAvishai DekelRacah Institute of Physics, The Hebrew University, Jerusalem, Israel
2001en
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We study dark matter halo density profiles in a high-resolution N-body simulation of a LCDM cosmology. Our statistical sample contains ,5000 haloes in the range 10 11 10 14 h 21 M ( Y and the resolution allows a study of subhaloes inside host haloes. The profiles are parametrized by an NFW form with two parameters, an inner radius r s and a virial radius R vir , and we define the halo concentration c vir ; R vir ar s X First, we find that, for a given halo mass, the redshift dependence of the median concentration is c vir G 1 1 z 21 X This corresponds to r s z , constantY and is contrary to earlier suspicions that c vir does not vary much with redshift. The implications are that high-redshift galaxies are predicted to be more extended and dimmer than expected before. Secondly, we find that the scatter in halo profiles is large, with a 1s Dlog c vir 0X18 at a given mass, corresponding to a scatter in maximum rotation velocities of DV max aV max 0X12X We discuss implications for modelling the TullyFisher relation, which has a smaller reported intrinsic scatter. Thirdly, subhaloes and haloes in dense environments tend to be more concentrated than isolated haloes, and show a larger scatter. These results suggest that c vir is an essential parameter for the theory of galaxy modelling, and we briefly discuss implications for the universality of the Tully Fisher relation, the formation of low surface brightness galaxies, and the origin of the Hubble sequence. We present an improved analytic treatment of halo formation that fits the measured relations between halo parameters and their redshift dependence, and can thus serve semi-analytic studies of galaxy formation.

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