How Continuous Symmetry Stabilizes the Ordered Phase of Polar Flocks
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910026651664384 |
|---|---|
| author | Granek, Omer Chaté, Hugues Kafri, Yariv Ro, Sunghan Solon, Alexandre Tailleur, Julien |
| author_facet | Granek, Omer Chaté, Hugues Kafri, Yariv Ro, Sunghan Solon, Alexandre Tailleur, Julien |
| contents | We study the stability of the ordered phase of compressible polar flocks against the nucleation of counter-propagating droplets, using a combination of analytical theory, microscopic and hydrodynamic simulations. For discrete-symmetry flocks, such droplets are known to always grow and propagate, making the ordered phase metastable. We explain how, on the contrary, continuous symmetry can stabilize the ordered phase at small enough noise by destabilizing the leading edge of growing droplets. Flocking models with continuous symmetries thus have a lower critical dimension than their discrete-symmetry counterparts, in contrast to equilibrium physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16865 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | How Continuous Symmetry Stabilizes the Ordered Phase of Polar Flocks Granek, Omer Chaté, Hugues Kafri, Yariv Ro, Sunghan Solon, Alexandre Tailleur, Julien Soft Condensed Matter Statistical Mechanics We study the stability of the ordered phase of compressible polar flocks against the nucleation of counter-propagating droplets, using a combination of analytical theory, microscopic and hydrodynamic simulations. For discrete-symmetry flocks, such droplets are known to always grow and propagate, making the ordered phase metastable. We explain how, on the contrary, continuous symmetry can stabilize the ordered phase at small enough noise by destabilizing the leading edge of growing droplets. Flocking models with continuous symmetries thus have a lower critical dimension than their discrete-symmetry counterparts, in contrast to equilibrium physics. |
| title | How Continuous Symmetry Stabilizes the Ordered Phase of Polar Flocks |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2602.16865 |