Eitan Tadmor – University of Maryland
Wednesday, August 21st, 10:45AM EDT
Emergent behavior in alignment dynamics with short-range interactions
Alignment protocols are governed by different classes of pairwise communication kernels. They often feature “social particles” which actively probe the environment and emerge into one or more clusters. In this talk I will survey recent mathematical developments in collective dynamics driven by alignment. A main question of interest is how different kernels affect the large-time, large-crowd emergence of large-scale clusters. The question arises in different levels of description: in agent-based description driven by the connectivity property of the underlying graph of communication, and in hydrodynamic description driven by fluctuations.
In particular we discuss short- vs. long-range interactions, models of anticipation, multi-species dynamics, and the role of pressure away from thermal equilibrium.