Collective Effects in Random Sequential Adsorption of Diffusing Hard Squares

TL;DR

This paper investigates how diffusion influences the random sequential adsorption of hard squares on a lattice, showing that diffusion enables full coverage and alters the approach dynamics compared to non-diffusive cases.

Contribution

It introduces a Monte Carlo simulation study of RSA with diffusion for lattice hard squares, revealing the transition from exponential to power-law coverage growth.

Findings

Diffusion allows full coverage in RSA of hard squares.

Coverage approaches full saturation following a t^(-1/2) power law.

Without diffusion, coverage saturates at a jamming limit exponentially.

Abstract

We study by Monte Carlo computer simulations random sequential adsorption (RSA) with diffusional relaxation, of lattice hard squares in two dimensions. While for RSA without diffusion the coverage approaches its maximum jamming value (large-time fractional coverage) exponentially, added diffusion allows the deposition process to proceed to the full coverage. The approach to the full coverage is consistent with the t**(-1/2) power law reminiscent of the equilibrium cluster coarsening in models with nonconserved order-parameter dynamics.