An analytical approach to inhomogeneous structure formation

Evan Scannapieco, Rennan Barkana

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


We develop an analytical formalism that is suitable for studying inhomogeneous structure formation, by studying the joint statistics of dark matter halos forming at two points. Extending the Bond et al. derivation of the mass function of virialized halos, based on excursion sets, we derive an approximate analytical expression for the "bivariate" mass function of halos forming at two redshifts and separated by a fixed comoving Lagrangian distance. Our approach also leads to a self-consistent expression for the nonlinear biasing and correlation function of halos, generalizing a number of previous results including those by Kaiser and Mo & White. We compare our approximate solutions to exact numerical results within the excursion-set framework and find them to be consistent to within 2% over a wide range of parameters. Our formalism can be used to study various feedback effects during galaxy formation analytically, as well as to simply construct observable quantities dependent on the spatial distribution of objects.

Original languageEnglish (US)
Pages (from-to)585-603
Number of pages19
JournalAstrophysical Journal
Issue number2 I
StatePublished - Jun 1 2002
Externally publishedYes


  • Cosmology: theory
  • Galaxies: formation
  • Large-scale structure of universe
  • Methods: analytical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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