Nonergordic Subdiffusion of a Random-walker from Interactions with Heterogeneous Partners
Document typeMaster thesis
Rights accessOpen Access
Understanding the motion of particles in biological systems is key in many applications such as drug precision delivery, living-cells characterization, etc. The dynamics of a particle in many of these systems is often non-ergodic and sub-diffussive. In this thesis we present a model based on a walker performing a continuous time Random walk with an exponential distribution of waiting times. The parameters determining these waiting times at each step depend on the coincidence or not of the walker with another random walker in the same lattice site. The model is tested with kinetic MonteCarlo methods to show the dependence of the nonergodicity and subdiffusion on the characteristics of the set of interacting walkers. We show that the model provides an experimentally-testable microscopic model.