# First passage properties in a crowded environment

## TL;DR

This paper introduces a model to analyze the first-passage time of a random walker in crowded environments, revealing crowding effects as a form of memory that influences diffusion behavior.

## Contribution

It extends the Nakazato-Kitahara model to account for crowding, demonstrating how crowding induces persistent-like behavior in confined media.

## Key findings

- Crowding acts as a memory effect influencing diffusion.
- The model extends classical first-passage time calculations.
- Crowding induces persistent-like behavior in the tracer.

## Abstract

We develop a model to compute the first-passage time of a random walker in a crowded environment. Hard-core particles with the same size and diffusion coefficient than the tracer diffuse, and the model allows to compute the first passage time of the tracer on euclidian lattices. The result is compared to classical Nakazato-Kitahara model, and extends previous results obtained for persistent random walker. The crowding in a confined media acts as a memory effect, and thus lead to a persistent-like behavior.