2024/07/03 by John Toner, Toner, John · 3 citations
Energy · Engineering · #Global Energy and Sustainability Research #Fluid dynamics and aerodynamics studies
paper · pdf · doi:10.48550/arxiv.2407.03071
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.