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 (13)

• Novel type of phase transition in a system of self-driven particles
• Flocks, herds, and schools: A quantitative theory of flocking
• A Reanalysis of the Hydrodynamic Theory of Fluid, Polar-Ordered Flocks
• Birth, Death and Flight: A Theory of Malthusian Flocks
• Surprising mappings of 2D polar active fluids to 2D soap and 1D sandblasting
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Swimmer suspensions on substrates: anomalous stability and long-range order
• Incompressible polar active fluids in the moving phase
• Moving, reproducing, and dying beyond Flatland: Malthusian flocks in dimensions $d>2$
• A novel nonequilibrium state of matter: a $d=4-\epsilon$ expansion study of Malthusian 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