The DOI matches its Crossref record; 71 of the 71 references it cites were found in a registry or an index.
The large-scale structure of the universe: Turbulence, intermittency, structures in a self-gravitating medium
Abstract
The density distribution arising at the nonlinear stage of gravitational instability is similar to intermittency phenomena in acoustic turbulence. Initially small-amplitude density fluctuations of Gaussian type transform into thin dense pancakes, filaments, and compact clumps of matter. It is perhaps surprising that the motion of self-gravitating matter in the expanding universe is like that of noninteracting matter moving by inertia. A similar process is the distribution of light reflected or refracted from rippled water. The similarity of gravitational instability to acoustic turbulence is highlighted by the fact that late nonlinear stages of density perturbation growth can be described by the Burgers equation, which is well known in the theory of turbulence. The phenomena discussed in this article are closely related to the problem of the formation of large-scale structure of the universe, which is also discussed.
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Citations
Cites
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677
Linde, A. D. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)91219-9 · Cited by 6,405
Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation
Press, W. H., & Schechter, P. (1974) · The Astrophysical Journal · doi:10.1086/152650 · Cited by 4,916
Topology of cosmic domains and strings
Kibble, T. W. B. (1976) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/9/8/029 · Cited by 4,545
Core condensation in heavy halos: a two-stage theory for galaxy formation and clustering
White, S. D. M., & Rees, M. J. (1978) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/183.3.341 · Cited by 3,919
Introduction to Percolation Theory
Stauffer, D., & Aharony, A. (1985) · Taylor & Francis eBooks · doi:10.4324/9780203211595 · Cited by 3,727
The evolution of large-scale structure in a universe dominated by cold dark matter
Davis, M., Efstathiou, G., Frenk, C. S., & White, S. D. M. (1985) · The Astrophysical Journal · doi:10.1086/163168 · Cited by 3,391
The statistics of peaks of Gaussian random fields
Bardeen, J. M., Bond, J. R., Kaiser, N., & Szalay, A. S. (1986) · The Astrophysical Journal · doi:10.1086/164143 · Cited by 3,270
The Large-Scale Structure of the Universe
Peebles, P. J. E. (1981) · Princeton University Press eBooks · doi:10.1515/9780691206714 · Cited by 2,851
Cited by
Patterns and collective behavior in granular media: Theoretical concepts
Aranson, I. S., & Tsimring, L. S. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.641 · Cited by 848
The density and peculiar velocity fields of nearby galaxies
Strauss, M. A., & Willick, J. A. (1995) · Physics Reports · doi:10.1016/0370-1573(95)00013-7 · Cited by 567
A hierarchy of voids: much ado about nothing
Sheth, R. K., & van de Weygaert, R. (2004) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2004.07661.x · Cited by 503
Percolation, Morphogenesis, and Burgers Dynamics in Blood Vessels Formation
Gamba, A., Ambrosi, D., Coniglio, A., de Candia, A., Di Talia, S., Giraudo, E., Serini, G., Preziosi, L., & Bussolino, F. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.118101 · Cited by 263
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
Metadata
- Authors
- Shandarin, S. F., & Zeldovich, Y. B.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1989-04-01
- Volume
- 61
- Issue
- 2
- Pages
- 185-220
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2095147046
- Cited by
- 890
- References
- 71
- FWCI
- 9.61
- Type
- journal article
- Language
- en
- Open access
- closed
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- Shandarin, S. F., & Zeldovich, Y. B. (1989). The large-scale structure of the universe: Turbulence, intermittency, structures in a self-gravitating medium. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.61.185
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
