Mean squared displacement of diffusion-limited aggregation model evolves as a function of a Bessel function

Abstract

Diffusion limited aggregation (DLA) models have been studied extensively throughout the years due to its relevance to complex systems, electromagnetism and other fields in science. This paper aims to describe the mean squared displacement of DLA where we treat DLA as a stochastic process with memory. We found that a Bessel function derived using white noise calculus fits well with our simulated data of DLA.