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arXiv · 2210.05627

Density and correlation in a random sequential adsorption model

Charles S. do Amaral·Diogo C. dos Santos
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Abstract

We consider a random sequential adsorption process on the one-dimensional lattice with nearest-neighbor exclusion. In this model, each site $s \in \mathbb{Z}$ starts empty and we will try to occupy it in time $t_s$, where $(t_s)_{s\in\mathbb{Z}}$ is a sequence of independent random variables uniformly distributed on the interval $[0,1]$. The site will be occupied if both of its neighbors are vacant. We provide a method to calculate the density of occupied sites up to the time $t$, as well as the pair correlation function.

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Charles S. do Amaral, Diogo C. dos Santos. 2022-10-11. Density and correlation in a random sequential adsorption model. https://arxiv.org/abs/2210.05627

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