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k- 增长界面在稳定态下的粗化。

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

机构信息

IFLP-CONICET, Departamento de Física, Universidad Nacional de La Plata, 1900 La Plata, Argentina.

Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Seoul 08826, Republic of Korea.

出版信息

Phys Rev E. 2018 Feb;97(2-1):022125. doi: 10.1103/PhysRevE.97.022125.

Abstract

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, ...,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≥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.

摘要

我们讨论了在 1+1 维中具有体心固-固生长模型的周期性边界条件的界面的稳态动力学,其中涉及扩展粒子(二聚体、三聚体、...,k 聚体)的随机聚集。通过将动力学映射到具有 k 型空位的不对称简单排斥过程,可以在稳定状态下直接评估粗化指数以及宽度和最大高度分布。尽管对于 k≥2,动力学被分成了数量指数增长的运动区域,但在一些一般情况下得到的结果强烈表明存在一种普遍的标度行为,它与单体界面非常接近。

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