Diffusion coefficients for multi-step persistent random walks on lattices (original) (raw)

This research explores diffusion coefficients associated with multi-step persistent random walks on lattices, extending traditional models that assume uncorrelated steps. The study builds upon previous investigations into the impact of memory on the directionality of walks, presenting a mathematical framework for analyzing these processes and deriving relevant diffusion coefficients. Numerical simulations validate the theoretical findings, offering insights into the behavior of systems modeled by persistent random walks.