# Dynamical regimes and finite time behavior in a trapped random walk: a direct iterative approach

## TL;DR

This paper investigates a one-dimensional diffusion model with trapping times, revealing various diffusive regimes and finite time deviations, using a detailed iterative approach related to continuous time random walks.

## Contribution

It introduces a tractable model that captures diverse diffusive behaviors and finite time effects, providing a detailed analysis method for trapping-based diffusion.

## Key findings

- Identification of multiple diffusive regimes depending on trapping time moments
- Analysis of finite time deviations from normal diffusion
- Connection to continuous time random walks

## Abstract

We consider a basic one-dimensional model of diffusion which allows to obtain a diversity of diffusive regimes whose speed depends on the moments of the per-site trapping time. This model is closely related to the continuous time random walks widely studied in the literature. The model we consider lends itself to a detailed treatment, making it possible to study deviations from normality due to finite time effects.