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arXiv · 2304.06139

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

Leiming Chen·Chiu Fan Lee·Ananyo Maitra·John Toner
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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 $\chi$ and anisotropy exponent $\zeta$ that are extremely near the known exact results. This implies our prediction for the previously completely unknown dynamic exponent $z$ is quantitatively accurate.

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Leiming Chen, Chiu Fan Lee, Ananyo Maitra, John Toner. 2023-04-12. Dynamics of packed swarms: time-displaced correlators of two dimensional incompressible flocks. https://doi.org/10.1103/physreve.109.l012601

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