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

@article{Shaebani2014AnomalousDO,
  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},
  year={2014},
  volume={90 3},
  pages={
          030701
        }
}
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… 

Figures from this paper

Diffusion properties of self-propelled particles in cellular flows.

Light is shed on the effect of a flow-field on the diffusion of active particles, such as living microorganisms and motile phytoplankton in fluids, with the occurrence of a minimum and a steep growth in the regime of large persistence time.

Transient Anomalous Diffusion in Run-and-Tumble Dynamics

We study the stochastic dynamics of a particle with two distinct motility states. Each one is characterized by two parameters: one represents the average speed and the other represents the

Run-and-pause dynamics of cytoskeletal motor proteins

This work presents an analytical model for the dynamics of self-propelled particles which undergo frequent pause phases, and addresses the role of initial conditions of motion on the resulting dynamics.

Role of Interactions and Correlations on Collective Dynamics of Molecular Motors Along Parallel Filaments

Cytoskeletal motors known as motor proteins are molecules that drive cellular transport along several parallel cytoskeletal filaments and support many biological processes. Experimental evidences

Fluctuation effects in bidirectional cargo transport

A theoretical model for bidirectional cargo transport in biological cells, which is driven by teams of molecular motors and subject to thermal fluctuations, shows that the subdiffusive regime is induced by thermal fluctuations while the superdiffusive motion is generated by correlations of the motors’ activity.

A new kind of chaotic diffusion: anti-persistent random walks of explosive dissipative solitons

The solitons that exist in nonlinear dissipative media have properties very different from the ones that exist in conservative media and are modeled by the nonlinear Schrödinger equation. One of the

Application of statistical physics tools to intracellular transport

Most processes in our daily life are far from equilibrium. The prime example is a cell and the transport occurring within. In this thesis intracellular transport is modeled by means of stochastic

Anomalous diffusion in a bench-scale pulsed fluidized bed.

Results indicate weak ergodicity breaking, which along with ageing characterizes the nonstationary and out-of-equilibrium dynamics of a bench-scale pulsed fluidized bed, which represents a weakly confined system.

A hidden Markov model for the dynamics of diffusing dissipative solitons

We investigate the dynamics of dissipative solitons in the cubic-quintic complex Ginzburg–Landau equation in one spatial dimension for different values of the bifurcation parameter . We consider a