STATISTICS OF PRIMORDIAL DENSITY PERTURBATIONS FROM DISCRETE SEED MASSES

被引:159
作者
SCHERRER, RJ [1 ]
BERTSCHINGER, E [1 ]
机构
[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139
关键词
COSMOLOGY; GALAXIES; CLUSTERING;
D O I
10.1086/170658
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We examine the statistics of density perturbations for general distributions of seed masses with arbitrary matter accretion. Formal expressions for the power spectrum, the N-point correlation functions, and the density distribution function are derived. These results are applied to the case of uncorrelated seed masses, and power spectra are derived for accretion of both hot and cold dark matter plus baryons. We compute the reduced moments (cumulants) of the density distribution and use them to obtain a series expansion for the density distribution function. We obtain analytic results for the density distribution function in the case of a distribution of seed masses with a spherical tophat accretion pattern. More generally, our formalism allows us to give a complete characterization of the statistical properties of any random field generated from a discrete linear superposition of kernels. In particular, our results can be applied to density fields derived by smoothing a discrete set of points with a window function.
引用
收藏
页码:349 / 360
页数:12
相关论文
共 54 条
[1]  
[Anonymous], 1991, INTRO PROBABILITY TH
[2]   THE STATISTICS OF PEAKS OF GAUSSIAN RANDOM-FIELDS [J].
BARDEEN, JM ;
BOND, JR ;
KAISER, N ;
SZALAY, AS .
ASTROPHYSICAL JOURNAL, 1986, 304 (01) :15-61
[3]   COSMOLOGICAL EVOLUTION OF GLOBAL MONOPOLES AND THE ORIGIN OF LARGE-SCALE STRUCTURE [J].
BENNETT, DP ;
RHIE, SH .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1709-1712
[4]   POTENTIAL, VELOCITY, AND DENSITY FIELDS FROM REDSHIFT-DISTANCE SAMPLES - APPLICATION - COSMOGRAPHY WITHIN 6000 KILOMETERS PER-SECOND [J].
BERTSCHINGER, E ;
DEKEL, A ;
FABER, SM ;
DRESSLER, A ;
BURSTEIN, D .
ASTROPHYSICAL JOURNAL, 1990, 364 (02) :370-395
[5]   GALAXY FORMATION WITH COSMIC STRINGS AND MASSIVE NEUTRINOS [J].
BERTSCHINGER, E ;
WATTS, PN .
ASTROPHYSICAL JOURNAL, 1988, 328 (01) :23-33
[6]  
BERTSCHINGER E, 1988, COSMIC STRINGS CURRE, P185
[7]  
CAMPBELL NR, 1909, P CAMBRIDGE PHIL SOC, V15, P117
[8]   CAN PREGALACTIC OBJECTS GENERATE GALAXIES [J].
CARR, BJ ;
REES, MJ .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1984, 206 (04) :801-818
[9]  
CARR BJ, 1977, ASTRON ASTROPHYS, V56, P377
[10]   PEAK NUMBER DENSITY OF NON-GAUSSIAN RANDOM-FIELDS [J].
CATELAN, P ;
LUCCHIN, F ;
MATARRESE, S .
PHYSICAL REVIEW LETTERS, 1988, 61 (03) :267-270