Birth, Death, and Horizontal Flight: Malthusian flocks with an easy plane in three dimensions
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916478825005056 |
|---|---|
| author | Toner, John |
| author_facet | Toner, John |
| contents | I formulate the theory of three dimensional "Malthusian flocks" -- i.e., coherently moving collections of self-propelled entities (such as living creatures) which are being "born" and "dying" during their motion -- whose constituents all have a preference for having their velocity vectors lie parallel to the same two-dimensional plane. I determine the universal scaling exponents characterizing such systems exactly, finding that the dynamical exponent $z=3/2$, the "anisotropy" exponent $ζ=3/4$, and the "roughness" exponent $χ=-1/2$. I also give the scaling laws implied by these exponents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Birth, Death, and Horizontal Flight: Malthusian flocks with an easy plane in three dimensions Toner, John Soft Condensed Matter Adaptation and Self-Organizing Systems I formulate the theory of three dimensional "Malthusian flocks" -- i.e., coherently moving collections of self-propelled entities (such as living creatures) which are being "born" and "dying" during their motion -- whose constituents all have a preference for having their velocity vectors lie parallel to the same two-dimensional plane. I determine the universal scaling exponents characterizing such systems exactly, finding that the dynamical exponent $z=3/2$, the "anisotropy" exponent $ζ=3/4$, and the "roughness" exponent $χ=-1/2$. I also give the scaling laws implied by these exponents. |
| title | Birth, Death, and Horizontal Flight: Malthusian flocks with an easy plane in three dimensions |
| topic | Soft Condensed Matter Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2407.03071 |