arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1712.01720cond-mat.stat-mech
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稳态条件下$k$ -mer生长界面的粗糙化

Roughening of $k$-mer growing interfaces in stationary regimes

M. D. Grynberg, F. I. Schaposnik Massolo

摘要:

我们讨论了稳态动力学的界面与周期性边界条件所产生的体心的固体对固体的生长模型在$1+1$尺寸涉及随机聚集的扩展粒子(二聚体,三聚体,\,$\cdots,k$ -聚体)。粗糙化指数以及宽度和最大高度分布可以直接在固定制度的动态映射到一个不对称的简单排斥过程与$k$ -\,类型的空缺。虽然$k \ge 2$的动态划分成一个指数级的大量部门的运动,在一些通用的情况下得到的结果强烈建议一个普遍的缩放行为紧随其后的单体接口。

英文摘要:

We discuss the steady state dynamics of interfaces with periodic boundary conditions arising from body-centered solid-on-solid growth models in $1+1$ dimensions involving random aggregation of extended particles (dimers, trimers,\,$\cdots,k$-mers). Roughening exponents as well as width and maximal height distributions can be evaluated directly in stationary regimes by mapping the dynamics onto an asymmetric simple exclusion process with $k$-\,type of vacancies. Although for $k \ge 2$ the dynamics is partitioned into an exponentially large number of sectors of motion, the results obtained in some generic cases strongly suggest a universal scaling behavior closely following that of monomer interfaces.

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