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

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.

References in corpus (5)

• Novel type of phase transition in a system of self-driven particles
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Packed swarms on dirt: two-dimensional incompressible flocks with quenched and annealed disorder
• Hydrodynamic theory of two-dimensional incompressible polar active fluids with quenched and annealed disorder
• Active uniaxially ordered suspensions on disordered substrates

Cited by in corpus (1)

• A new universality class describes Vicsek's flocking phase in physical dimensions