Anomalous diffusion of self-propelled particles in directed random environments.

  title={Anomalous diffusion of self-propelled particles in directed random environments.},
  author={M. Reza Shaebani and Zeinab Sadjadi and Igor M. Sokolov and Heiko Rieger and Ludger Santen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={90 3},
We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of individual random walkers, which enables us to identify the contributions of key parameters: the motor processivity, and the anisotropy and heterogeneity of the underlying network. We prove the existence of different dynamical regimes of anomalous motion, and that… 

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