Sebastien Motsch, smotsch@asu.edu
Co-authors: Pierre Degond, Irene Gamba, Jeff Haack, Laurent Navoret
Emergence of macroscopic behavior in complex systems
In a human crowd or in a shoal of fish, thousands of individuals interact and form large scale structures. Although the interaction among individuals might be simple, the resulting dynamics is quite complex. Modeling
is an essential tool to understand such dynamics. For instance, Agent-based models, also referred to as microscopic models, are widely developed to analyze various dynamics such as swarming and opinion formations.
In this talk, we investigate the emergence of macroscopic behavior for such models. The challenge is to link
“microscopic models” describing each agent with “macroscopic models” describing the evolution of a fluid. To
achieve this transition, we present a novel approach based on kinetic theory and asymptotic analysis. Numerical
simulations are also presented to illustrate the results.