Quantitative Assessment of the Toner and Tu Theory of Polar Flocks.

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ID: 69676
2019
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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.
Reference Key
mahault2019quantitativephysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Mahault, Benoît;Ginelli, Francesco;Chaté, Hugues;
Journal physical review letters
Year 2019
DOI
10.1103/PhysRevLett.123.218001
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