# Entropic long-range ordering in an adsorption-desorption model

## TL;DR

This paper investigates a 2D nonequilibrium lattice model showing entropic long-range order that is destroyed at higher densities, with evidence of slow dynamics suggesting possible glassy states.

## Contribution

It introduces a nonequilibrium adsorption-desorption model exhibiting entropic ordering and explores its unique behavior compared to hard-core systems, including order destruction and slow dynamics.

## Key findings

- Entropic long-range order exists in certain parameter ranges.
- Order is destroyed as particle density increases.
- Heterogeneous version shows slow dynamics indicative of glassy behavior.

## Abstract

We examine a two-dimensional nonequilibrium lattice model where particles adsorb at empty sites and desorb when the number of neighbouring particles is greater than a given threshold. In a certain range of parameters the model exhibits entropic ordering similar to some hard-core systems. However, contrary to hard-core systems, upon increasing the density of particles the ordering gets destroyed. In the heterogenous version of our model a regime with slow dynamics appears, that might indicate formation of some kind of glassy structures.