Coarsening dynamics of adsorption processes with diffusional relaxation

TL;DR

This paper analyzes the late-stage coarsening behavior in one-dimensional adsorption processes with diffusional relaxation, providing an exact asymptotic solution and validating it with Monte Carlo simulations.

Contribution

It introduces an exact asymptotic solution for the domain size distribution during coarsening, supported by field theory and simulation comparisons.

Findings

Exact asymptotic solution for cluster sizes smaller than average

Validation of theoretical results with Monte Carlo simulations

Demonstration of dynamical scaling in the process

Abstract

We investigate the late coarsening stages of one dimensional adsorption processes with diffusional relaxation. The nonequilibrium domain size distribution is studied by means of the field theory associated to the stochastic evolution. An exact asymptotic solution satisfying dynamical scaling is given for cluster sizes smaller than the average domain length. Our results are supported and compared with Monte Carlo simulations.