A new universality class describes Vicsek’s flocking phase in physical dimensions
File(s)PhysRevLett.133.128301.pdf (287.92 KB)
Published version
Author(s)
Jentsch, Patrick
Lee, Chiu Fan
Type
Journal Article
Abstract
The Vicsek simulation model of flocking together with its theoretical treatment by Toner and Tu
in 1995 were two foundational cornerstones of active matter physics. However, despite the field’s
tremendous progress, the actual universality class (UC) governing the scaling behavior of Viscek’s
“flocking” phase remains elusive. Here, we use nonperturbative, functional renormalization group
methods to analyze, numerically and analytically, a simplified version of the Toner-Tu model, and
uncover a novel UC with scaling exponents that agree remarkably well with the values obtained in
a recent simulation study by Mahault et al. [Phys. Rev. Lett. 123, 218001 (2019)], in both two and
three spatial dimensions. We therefore believe that there is strong evidence that the UC uncovered
here describes Vicsek’s flocking phase.
in 1995 were two foundational cornerstones of active matter physics. However, despite the field’s
tremendous progress, the actual universality class (UC) governing the scaling behavior of Viscek’s
“flocking” phase remains elusive. Here, we use nonperturbative, functional renormalization group
methods to analyze, numerically and analytically, a simplified version of the Toner-Tu model, and
uncover a novel UC with scaling exponents that agree remarkably well with the values obtained in
a recent simulation study by Mahault et al. [Phys. Rev. Lett. 123, 218001 (2019)], in both two and
three spatial dimensions. We therefore believe that there is strong evidence that the UC uncovered
here describes Vicsek’s flocking phase.
Date Issued
2024-09-20
Date Acceptance
2024-08-05
Citation
Physical Review Letters, 2024, 133 (12)
ISSN
0031-9007
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
133
Issue
12
Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Identifier
https://journals.aps.org/prl/accepted/1f071Yd6D2217888576b837818922577ecfdf4bac
Publication Status
Published
Article Number
128301
Date Publish Online
2024-09-17