Excursion set theory for modified gravity: Eulerian versus Lagrangian environments

Li, B.; Lam, T.Y.

doi:10.1111/j.1365-2966.2012.21592.x

Excursion set theory for modified gravity: Eulerian versus Lagrangian environments

Li, B.; Lam, T.Y.

Authors

Professor Baojiu Li baojiu.li@durham.ac.uk
Professor

T.Y. Lam

Abstract

We have revisited the extended excursion set theory in modified gravity models, taking the chameleon model as an example. Instead of specifying their Lagrangian size, here we define the environments by the Eulerian size, chosen to be of the same order of the Compton length of the scalar field by physical arguments. We find that the Eulerian and Lagrangian environments have very different environmental density contrast probability distributions, the former being more likely to have high matter density, which in turn suppress the effect of the fifth force in matter clustering and halo formation. The use of Eulerian environments also evades the unphysical restriction of having an upper mass limit in the case of Lagrangian environments. Two methods of computing the unconditional mass functions, numerical integration and Monte Carlo simulation, are discussed and found to give consistent predictions.

Citation

Li, B., & Lam, T. (2012). Excursion set theory for modified gravity: Eulerian versus Lagrangian environments. Monthly Notices of the Royal Astronomical Society, 425(1), 730-739. https://doi.org/10.1111/j.1365-2966.2012.21592.x

Journal Article Type	Article
Publication Date	Sep 1, 2012
Deposit Date	Mar 27, 2013
Publicly Available Date	May 2, 2014
Journal	Monthly Notices of the Royal Astronomical Society
Print ISSN	0035-8711
Electronic ISSN	1365-2966
Publisher	Royal Astronomical Society
Peer Reviewed	Peer Reviewed
Volume	425
Issue	1
Pages	730-739
DOI	https://doi.org/10.1111/j.1365-2966.2012.21592.x
Keywords	Large-scale structure of Universe.

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This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society © 2012 The Authors Monthly Notices of the Royal Astronomical Society © 2012 RAS Published by Oxford University Press on behalf of Royal Astronomical Society. All rights reserved.