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Main Authors: Besabe, Lander, Jose, Editha, Tapia, Alvin Karlo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.02298
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author Besabe, Lander
Jose, Editha
Tapia, Alvin Karlo
author_facet Besabe, Lander
Jose, Editha
Tapia, Alvin Karlo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02298
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A cellular automata model for particle transport in disordered systems
Besabe, Lander
Jose, Editha
Tapia, Alvin Karlo
Computational Physics
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.
title A cellular automata model for particle transport in disordered systems
topic Computational Physics
url https://arxiv.org/abs/2502.02298