2023/07/13 by Patrick Jentsch, Jentsch, Patrick, Chiu Fan Lee +1 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biological Physics (physics.bio-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Micro and Nano Robotics #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.2307.06725
openalex publication_date 2023/07/13 · openalex created_date 2023/07/15 · openalex updated_date 2026/07/28
In active matter systems, non-Gaussian, exact scaling exponents have been claimed in a range of systems using perturbative renormalization group (RG) methods. This is unusual compared to equilibrium systems where non-Gaussian exponents can typically only be approximated, even using the exact (or functional/nonperturbative) renormalization group (ERG). Here, we perform an ERG analysis on the ordered phase of incompressible polar active fluids and find that the exact non-Gaussian exponents obtained previously using a perturbative RG method remain valid even in this nonperturbative setting. Furthermore, our ERG analysis elucidates the RG flow of this system and enables us to identify an active Goldstone regime with nontrivial, long-ranged scaling behavior for parallel and longitudinal fluctuations.