Slow dynamics of k-mers on a square lattice

C. Fusco, P. Gallo, A. Petri, M. Rovere
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引用次数: 1

Abstract

Abstract We have performed extensive simulations of random sequential adsorption and diffusion of k-mers up to k = 5 on a square lattice with particular attention to the case k = 2. We observe that, for k = 2, 3, complete coverage of the lattice is never reached, because of the existence of frozen configurations that prevent isolated vacancies in the lattice from joining and we argue that complete coverage is never attained for any value of k. In particular the long-time behaviour of the coverage is not mean field and non-analytic, with t −1/2 as the leading term. Morover different values of the diffusion probability and deposition rate lead to different final values of the coverage. We also give a brief account of the vacancy population dynamics.
方形晶格上k-mers的慢动力学
我们进行了广泛的模拟随机顺序吸附和扩散k-mers高达k = 5在方形晶格上,特别注意k = 2的情况。我们观察到,对于k = 2,3,晶格的完全覆盖从未达到,因为存在阻止晶格中孤立空位连接的冻结构型,我们认为对于任何k值都不会达到完全覆盖。特别是覆盖的长期行为不是平均场和非解析的,以t - 1/2为主导项。此外,不同的扩散概率和沉积速率值导致不同的最终覆盖率值。我们还简要介绍了空缺人口动态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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