Continuous theory of active matter systems with metric-free interactions

Details Continuous theory of active matter systems with metric-free interactions Continuous theory of active matter systems with metric-free interactions

2012-03-30

arxiv.org/abs/1203.6853v1

Physics

Condensed Matter

Soft Condensed Matter

Submitted to Physical Review Letters

Scientific paper

We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones, -a situation advocated recently to be relevant for bird flocks, fish schools, and crowds- we use a kinetic approach to obtain well-controlled nonlinear field equations. We show that the density-independent collision rate per particle characteristic of topological interactions suppresses the linear instability of the homogeneous ordered phase and the nonlinear density segregation generically present near threshold in metric models, in agreement with microscopic simulations.

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