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Transport by Active Filaments

I consider the transport of particles in 2D and 3D networks of “sticky and active” filaments, able to adsorb them reversibly and propel them while adsorbed. The free-diffusion process that rules the trajectories of particles between these active adsorptions induces specific features: the release of a particle by a single filament is diffusion controlled, which improves the filament propelling ability, and, on larger scales, random networks of filaments lead to a superdiffusive behaviour. More generally, I quantify transport at different scales and in different network geometries.