Incompressible polar active fluids in the moving phase

TL;DR

This paper analyzes the universal scaling behavior of incompressible polar active fluids in the moving phase, providing exact exponents and a first rigorous argument for their values in dimensions greater than two.

Contribution

It offers the first rigorous derivation of exact anomalous scaling exponents for incompressible polar active fluids in the moving phase in dimensions greater than two.

Findings

Exact dynamic, roughness, and anisotropy exponents derived.

First compelling argument for exact anomalous exponents in $d>2$.

Universal behavior characterized for incompressible flocking systems.

Abstract

We study universal behavior in the moving phase of a generic system of motile particles with alignment interactions in the incompressible limit for spatial dimensions $d>2$. Using a dynamical renormalization group analysis, we obtain the exact dynamic, roughness, and anisotropy exponents that describe the scaling behavior of such incompressible systems. This is the first time a compelling argument has been given for the exact values of the anomalous scaling exponents of a flock moving through an isotropic medium in $d>2$.