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An excursion set model of the cosmic web: The abundance of sheets, filaments and halos
Astrophysics · Submitted 11 Nov 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In the currently popular $\Lambda$CDM model, our analysis suggests that more than 99% of the cosmic mass is in sheets, and 72% in filaments, with mass larger than $10^{10} M_{\odot}$ at the present time.
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The abstract, sentence by sentence
We discuss an analytic approach for modeling structure formation in sheets, filaments and knots. This is accomplished by combining models of triaxial collapse with the excursion set approach: sheets are defined as objects which have collapsed along only one axis, filaments have collapsed along two axes, and halos are objects in which triaxial collapse is complete. In the simplest version of this approach, which we develop here, large scale structure shows a clear hierarchy of morphologies: the mass in large-scale sheets is partitioned up among lower mass filaments, which themselves are made-up of still lower mass halos. Our approach provides analytic estimates of the mass fraction in sheets, filaments and halos, and its evolution, for any background cosmological model and any initial fluctuation spectrum. In the currently popular $\Lambda$CDM model, our analysis suggests that more than 99% of the cosmic mass is in sheets, and 72% in filaments, with mass larger than $10^{10} M_{\odot}$ at the present time. For halos, this number is only 46%. Our approach also provides analytic estimates of how halo abundances at any given time correlate with the morphology of the surrounding large-scale structure, and how halo evolution correlates with the morphology of large scale structure.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss an analytic approach for modeling structure formation in sheets, filaments and knots. | contribution 0.93 | 0.68 | 0.05 | asserted 0.80 |
| s1 | This is accomplished by combining models of triaxial collapse with the excursion set approach: sheets are defined as objects which have collapsed along only one axis, filaments have collapsed along two axes, and halos are objects in which triaxial collapse is complete. | method 0.99 | 0.66 | 0.09 | asserted 1.00 |
| s2 | In the simplest version of this approach, which we develop here, large scale structure shows a clear hierarchy of morphologies: the mass in large-scale sheets is partitioned up among lower mass filaments, which themselves are made-up of still lower mass halos. | result 0.65 | 0.81 | 0.24 | asserted 1.00 |
| s3 | Our approach provides analytic estimates of the mass fraction in sheets, filaments and halos, and its evolution, for any background cosmological model and any initial fluctuation spectrum. | contribution 0.92 | 0.92 | 0.16 | asserted 0.98 |
| s4 | In the currently popular $\Lambda$CDM model, our analysis suggests that more than 99% of the cosmic mass is in sheets, and 72% in filaments, with mass larger than $10^{10} M_{\odot}$ at the present time. | result 1.00 | 0.93 | 0.36 | hedged possibility 1.00 |
| s5 | For halos, this number is only 46%. | result 1.00 | 0.89 | 0.10 | asserted 0.99 |
| s6 | Our approach also provides analytic estimates of how halo abundances at any given time correlate with the morphology of the surrounding large-scale structure, and how halo evolution correlates with the morphology of large scale structure. | contribution 0.88 | 0.92 | 0.10 | asserted 0.99 |
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Original abstract
We discuss an analytic approach for modeling structure formation in sheets, filaments and knots. This is accomplished by combining models of triaxial collapse with the excursion set approach: sheets are defined as objects which have collapsed along only one axis, filaments have collapsed along two axes, and halos are objects in which triaxial collapse is complete. In the simplest version of this approach, which we develop here, large scale structure shows a clear hierarchy of morphologies: the mass in large-scale sheets is partitioned up among lower mass filaments, which themselves are made-up of still lower mass halos. Our approach provides analytic estimates of the mass fraction in sheets, filaments and halos, and its evolution, for any background cosmological model and any initial fluctuation spectrum. In the currently popular $\Lambda$CDM model, our analysis suggests that more than 99% of the cosmic mass is in sheets, and 72% in filaments, with mass larger than $10^{10} M_{\odot}$ at the present time. For halos, this number is only 46%. Our approach also provides analytic estimates of how halo abundances at any given time correlate with the morphology of the surrounding large-scale structure, and how halo evolution correlates with the morphology of large scale structure.
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How the literature uses it
4 arXiv papers cite this in 6 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 2 papers
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One of the main goals of LSS studies is to understand how the matter distribution develops into structures such as nodes, filaments, walls, and voids ( [ref] ), ultimately giving rise to the cosmic web ( [ref] ).
Tracing Galaxy Bias Through the Cosmic Web: The Role of Filaments · Introduction · 0.99
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Similar avenues have been performed in the literature, albeit their focus is either of numerical nature (e.g. [ref] ), and/or are related to the biasing problem (e.g. [ref] ).
Fast and accurate collapse-time predictions for collisionless matter · Tidal effects · 0.93
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