SKM 2023 – wissenschaftliches Programm
DY 35.6: Vortrag
Donnerstag, 30. März 2023, 11:15–11:30, TOE 317
Collective Dynamics of Multi-Scale Interacting Complex Systems — •Fabrizio Olmeda1,2 and Steffen Rulands1,3 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2IST Austria, Vienna, Austria — 3Ludwigs-Maximilians-Universitat Munchen, Arnold Sommerfeld Center for Theoretical Physics, Munich, Germany
Understanding the conditions under which complex systems are stable is pivotal for understanding their response to perturbations. Theoretical work has shown that for global interactions between components a minimal complex system is stable if the standard deviation of linearised interaction rates is sufficiently small. In biological systems, which often contain a small number of important and interactions are mediated by diffusing agents, stochasticity and non-locality may influence stability. Here, we generalise these results to stochastic, spatial systems with interaction on multiple length scales. Starting from a microscopic description we derive a coarse-grained field theory and identify a transition between a regime defined by giant density fluctuations and one exhibiting a spatial instability with a finite wave length. The latter is suppressed by non-reciprocity in the interactions between components. Our work provides a rigorous framework to infer collective dynamics and stability in complex systems, with applications ranging from ecosystems to morphogenesis.