info:eu-repo/semantics/article
Dynamical Renormalization Group Approach to the Collective Behavior of Swarms
Fecha
2019-12-23Registro en:
Cavagna, Andrea; Di Carlo, Luca; Giardina, Irene; Grandinetti, Luca; Grigera, Tomas Sebastian; et al.; Dynamical Renormalization Group Approach to the Collective Behavior of Swarms; American Physical Society; Physical Review Letters; 123; 26; 23-12-2019; 1-5
0031-9007
CONICET Digital
CONICET
Autor
Cavagna, Andrea
Di Carlo, Luca
Giardina, Irene
Grandinetti, Luca
Grigera, Tomas Sebastian
Pisegna, Giulia
Resumen
We study the critical behavior of a model with nondissipative couplings aimed at describing the collective behavior of natural swarms, using the dynamical renormalization group under a fixed-network approximation. At one loop, we find a crossover between an unstable fixed point, characterized by a dynamical critical exponent z=d/2, and a stable fixed point with z=2, a result we confirm through numerical simulations. The crossover is regulated by a length scale given by the ratio between the transport coefficient and the effective friction, so that in finite-size biological systems with low dissipation, dynamics is ruled by the unstable fixed point. In three dimensions this mechanism gives z=3/2, a value significantly closer to the experimental window, 1.0≤z≤1.3, than the value z≈2 numerically found in fully dissipative models, either at or off equilibrium. This result indicates that nondissipative dynamical couplings are necessary to develop a theory of natural swarms fully consistent with experiments.