Macroscopic models of collective motion and self-organization

Although polar active matter has motivated a large number of theoretical works, only few ex- periments display polar structures in fully controlled systems. Comparing theories

Abstract, In this communication, we present the preliminary results of a study of the migration motions of macroscopic spherical particles (diameter 45 pm) in a suspension sub-

This case is typical of the situation at a cluster boundary. In this case, the main new feature is the appearance of declustering waves as limits of the rarefaction waves.. and

Key words: Self-propelled particles, pheromone deposition, directed pheromones, alignment interaction, Individual-Based Model, trail detection, pattern formation, kinetic models,

By contrast, when the density is larger than this threshold value, the dynamics is described by a similar hydrodynamic model for self-alignment interactions as derived in [13,

The O(ε) corrected model involves diffusion terms in both the mass and velocity equations as well as terms which are quadratic functions of the first order derivatives of the

In the forthcoming work [7], we will take inspiration from second-order macroscopic models of trac [8, 25] to model self-organization globally on the road; note that bottlenecks can

Mean-field limit of a microscopic individual-based model describing collective motions.. Carlo Bianca,