Incompressible polar active fluids in the moving phase in dimensions d > 2. (23rd November 2018)

• Record Type: Journal Article
• Authors: Chen, Leiming; Lee, Chiu Fan; Toner, John
• Is Part Of: New journal of physics. Volume 20:Number 11(2018:Nov.)
• Publication Date: 2018-11-23
• Subjects: active fluid -- active matter -- collective motion -- hydrodynamic theory; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aaec31
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: We study universal behavior in the moving (polar ordered) 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.