# Relaxation kinetics in two-dimensional structures

Source: [Relaxation kinetics in two-dimensional structures](<https://www.sota2.com/research/paper/68fa26162c2a3760193b6756>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:03:27.050Z

Authors: Jose L. Iguain, Laurent J. Lewis

Published: 2003-06-16T23:19:09.000Z

## Abstract

We have studied the approach to equilibrium of islands and pores in two dimensions. The two-regime scenario observed when islands evolve according to a set of particular rules, namely relaxation by steps at low temperature and smooth at high temperature, is generalized to a wide class of kinetic models and the two kinds of structures. Scaling laws for equilibration times are analytically derived and confirmed by kinetic Monte Carlo simulations.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0306419>)

[PDF](<https://arxiv.org/pdf/cond-mat/0306419.pdf>)