Birth, death, and horizontal flight: Malthusian flocks with an easy plane in three dimensions
Year: 2024
Type: article
Abstract: 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.
Source: Physical review. E
Author: John Toner
Institution: University of Oregon
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: University of Edinburgh
OpenAlex ID: W4405239510