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  Quantitative assessment of the Toner and Tu theory of polar flocks

Mahault, B., Ginelli, F., & Chate, H. (2019). Quantitative assessment of the Toner and Tu theory of polar flocks. Physical Review Letters, 123(21): 218001. doi:10.1103/PhysRevLett.123.218001.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-4F33-A Version Permalink: http://hdl.handle.net/21.11116/0000-0005-4F7F-6
Genre: Journal Article

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Mahault, Benoit1, Author              
Ginelli, F., Author
Chate, H., Author
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1Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2570692              

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 Abstract: We present a quantitative assessment of the Toner and Tu theory describing the universal scaling of fluctuations in polar phases of dry active matter. Using large-scale simulations of the Vicsek model in two and three dimensions, we find the overall phenomenology and generic algebraic scaling predicted by Toner and Tu, but our data on density correlations reveal some qualitative discrepancies. The values of the associated scaling exponents we estimate differ significantly from those conjectured in 1995. In particular, we identify a large crossover scale beyond which flocks are only weakly anisotropic. We discuss the meaning and consequences of these results.

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Language(s): eng - English
 Dates: 2019-11-192019-11-22
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.123.218001
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Title: Physical Review Letters
Source Genre: Journal
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Pages: 6 Volume / Issue: 123 (21) Sequence Number: 218001 Start / End Page: - Identifier: -