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  • Letter

Dynamics of packed swarms: Time-displaced correlators of two-dimensional incompressible flocks

Leiming Chen1,*, Chiu Fan Lee2,†, Ananyo Maitra3,4,‡, and John Toner5,6,§

  • 1School of Material Science and Physics, China University of Mining and Technology, Xuzhou Jiangsu 221116, Peoples's Republic of China
  • 2Department of Bioengineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
  • 3Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, CY Cergy Paris Université, F-95032 Cergy-Pontoise Cedex, France
  • 4Sorbonne Université and CNRS, Laboratoire Jean Perrin, F-75005 Paris, France
  • 5Department of Physics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403, USA
  • 6Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany

  • *leiming@cumt.edu.cn
  • †c.lee@imperial.ac.uk
  • ‡nyomaitra07@gmail.com
  • §jjt@uoregon.edu
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Phys. Rev. E 109, L012601 – Published 11 January, 2024

DOI: https://doi.org/10.1103/PhysRevE.109.L012601

Abstract

We analytically calculate the scaling exponents of a two-dimensional KPZ-like system: coherently moving incompressible polar active fluids. Using three different renormalization group approximation schemes, we obtain values for the roughness exponent χ and anisotropy exponent ζ that are extremely near the known exact results. This implies our prediction for the previously unknown dynamic exponent z is likely to be quantitatively accurate.

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Phys. Rev. E 109, L012601– Published 11 January, 2024
  • Received 18 April 2023
  • Accepted 28 November 2023
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