A cellular automata model for particle transport in disordered systems

TL;DR

This paper introduces a cellular automaton model to simulate particle transport in disordered systems, revealing exponential percolation behavior and the effects of tunneling and backscattering on percolation thresholds.

Contribution

It presents a novel CA model for particle transport in disordered media and analyzes how tunneling and backscattering influence percolation properties.

Findings

Percolation probability exhibits exponential behavior.

Tunneling and backscattering lower the percolation threshold.

The model effectively simulates particle movement in disordered systems.

Abstract

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of percolating paths. Through this model, we were able to develop a computer simulation that shows particle transport. Under particle hopping mechanism, with or without tunneling(or backscattering), it was found out that there is an exponential behavior of percolation probability. However, the onset of the percolation probability is shifted to a smaller value when tunneling and backscattering are present.