Skip to Main content Skip to Navigation
Journal articles

Two-point correlation properties of stochastic splitting processes

Abstract : We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number of identical “daughter” particles. We consider generically that there may be nontrivial correlations in the displacement fields describing the positions of the different daughters of the same “mother” particle and then treat separately the cases in which there are, or are not, correlations also between the displacements of daughters belonging to different mothers. For both cases exact formulas are derived relating the structure factor (power spectrum) of the daughter distribution to that of the mothers. An application of these results is that they give explicit algorithms for generating, starting from regular lattice arrays, stochastic particle distributions with an arbitrarily high degree of large-scale uniformity. Such distributions are of interest, in particular, in the context of studies of self-gravitating systems in cosmology.
Complete list of metadatas

http://hal.in2p3.fr/in2p3-00463661
Contributor : Michael Joyce <>
Submitted on : Monday, March 15, 2010 - 11:12:21 AM
Last modification on : Tuesday, April 21, 2020 - 10:29:58 AM

Links full text

Identifiers

Citation

M. Joyce, A. Gabrielli. Two-point correlation properties of stochastic splitting processes. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 77, pp.31139. ⟨10.1103/PHYSREVE.77.031139⟩. ⟨in2p3-00463661⟩

Share

Metrics

Record views

278