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

Chen, Leiming; Lee, Chiu Fan; Maitra, Ananyo; Toner, John · Phys Rev E · 2024

basic_science · Level V

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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.