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

Phys Rev E

Department of Physics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403, USA.

Published: January 2024

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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http://dx.doi.org/10.1103/PhysRevE.109.L012601DOI Listing

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