The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier
Open accessAbstract
The excursion set approach allows one to estimate the abundance and spatial distribution of virialized dark matter haloes efficiently and accurately. The predictions of this approach depend on how the non-linear processes of collapse and virialization are modelled. We present simple analytic approximations that allow us to compare the excursion set predictions associated with spherical and ellipsoidal collapse. In particular, we present formulae for the universal unconditional mass function of bound objects and the conditional mass function which describes the mass function of the progenitors of haloes in a given mass range today. We show that the ellipsoidal collapse based moving barrier model provides a better description of what we measure in the numerical simulations than the spherical collapse based constant barrier model, although the agreement between model and simulations is better at large lookback times. Our results for the conditional mass function can be used to compute accurate approximations to the local-density mass function, which quantifies the tendency for massive haloes to populate denser regions than less massive haloes. This happens because low-density regions can be thought of as being collapsed haloes viewed at large lookback times, whereas high-density regions are collapsed haloes viewed at small lookback times. Although we have applied our analytic formulae only to two simple barrier shapes, we show that they are, in fact, accurate for a wide variety of moving barriers. We suggest how they can be used to study the case in which the initial dark matter distribution is not completely cold.
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Cites
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Large-scale bias and the peak background split
Sheth, R. K., & Tormen, G. (1999) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.1999.02692.x · Cited by 2,783
Self-citationMerger rates in hierarchical models of galaxy formation
Lacey, C., & Cole, S. (1993) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/262.3.627 · Cited by 2,190
Excursion set mass functions for hierarchical Gaussian fluctuations
Bond, J. R., Cole, S., Efstathiou, G., & Kaiser, N. (1991) · The Astrophysical Journal · doi:10.1086/170520 · Cited by 1,850
Sheth, R. K., Mo, H. J., & Tormen, G. (2001) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2001.04006.x · Cited by 1,807
Self-citationThe mass function of dark matter haloes
Jenkins, A., Frenk, C. S., White, S. D. M., Colberg, J. M., Cole, S., Evrard, A. E., Couchman, H. M. P., & Yoshida, N. (2001) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2001.04029.x · Cited by 1,659
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Halo Formation in Warm Dark Matter Models
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Cited by
Cosmology and Fundamental Physics with the Euclid Satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., Borgani, S., et al. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-6 · Cited by 899
Constraining dark matter-baryon scattering with linear cosmology
Dvorkin, C., Blum, K., & Kamionkowski, M. (2014) · Physical Review D · doi:10.1103/physrevd.89.023519 · Cited by 306
Formation of z∼6 Quasars from Hierarchical Galaxy Mergers
Li, Y., Hernquist, L., Robertson, B., Cox, T. J., Hopkins, P. F., Springel, V., Gao, L., Di Matteo, T., Zentner, A. R., Jenkins, A., et al. (2007) · The Astrophysical Journal · doi:10.1086/519297 · Cited by 301
The Copernicus Complexio: a high-resolution view of the small-scale Universe
Hellwing, W. A., Frenk, C. S., Cautun, M., Bose, S., Helly, J., Jenkins, A., Sawala, T., & Cytowski, M. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw214 · Cited by 107
“In Figure 3 we compare the present day COCO and COLOR halo mass function with the Sheth&Tormen (ST) prediction (Sheth & Tormen 2002) and with the improvement suggested by Reed et al. (2007, hereafter R07), which was tuned using results of Nbody simulations.”
MethodConstraining chameleon models with cosmology
Lombriser, L. (2014) · Annalen der Physik · doi:10.1002/andp.201400058 · Cited by 104
Metadata
- Authors
- Sheth, R. K., & Tormen, G.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 2002-01
- Volume
- 329
- Issue
- 1
- Pages
- 61-75
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2003864863
- Cited by
- 965
- References
- 22
- FWCI
- 18.20
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Sheth, R. K., & Tormen, G. (2002). An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1046/j.1365-8711.2002.04950.x
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