Continuous limits of Heterogeneous Continuous Time Random Walk model
Statistical Mechanics
2020-06-23 v1 Data Analysis, Statistics and Probability
Other Statistics
Abstract
Continuous time random Walk model has been versatile analytical formalism for studying and modeling diffusion processes in heterogeneous structures, such as disordered or porous media. We are studying the continuous limits of Heterogeneous Continuous Time Random Walk model, when a random walk is making jumps on a graph within different time-length. We apply the concept of a generalized master equation to study heterogeneous continuous-time random walks on networks. Depending on the interpretations of the waiting time distributions the generalized master equation gives different forms of continuous equations.
Cite
@article{arxiv.2006.11570,
title = {Continuous limits of Heterogeneous Continuous Time Random Walk model},
author = {Liubov Tupikina},
journal= {arXiv preprint arXiv:2006.11570},
year = {2020}
}
Comments
This is the current version of the article. We are still working on it and plan to submit the edited version later. 2 figures, 9 pages