Adatom mobility for the solid-on-solid model

Adatom mobility for the solid-on-solid model
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固体对固体模型的 Adatom 迁移率

DOI:
10.1007/bf01307478
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发表时间:
1995
期刊:
Zeitschrift für Physik B Condensed Matter
影响因子:
--
通讯作者:
S. Majaniemi
S. Majaniemi
中科院分区:
--
文献类型:
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作者:
Joachim Krug;H. Dobbs;S. Majaniemi

文献摘要

被引文献

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在固体-固体模型中研究了晶体表面通过表面扩散的弛豫。两种类型的(保守)动力学被认为是。ForArbellius动力学,我们表明,相关的传输系数,吸附原子的流动性,有一个简单的解析形式:它是独立的取向,并指数依赖于逆温度,为任何表面dimensionalityd。与取向相关刚度的表达式一起,这完全确定了表面的宏观演化方程。宏观理论的预测检查对模拟的轮廓演变和粗糙化ind=1。对于一维Metropolis动力学,我们提供了一个上界的吸附原子的流动性,并获得其实际值的数值估计,这表明在这种情况下,一个非平凡的取向依赖。直接从主方程的宏观动力学的另一种推导和讨论有关以前的近似工作。
The relaxation of a crystal surface through surface diffusion is studied within the solid-on-solid model. Two types of (conserved) dynamics are considered. ForArrhenius dynamics we show that the relevant transport coefficient, the adatom mobility, has a simple analytic form: It is independent of orientation, and depends exponentially on the inverse temperature, for any surface dimensionalityd. Together with the expression for the orientation-dependent stiffness this completely determines the macroscopic evolution equation for the surface. The predictions of the macroscopic theory are checked against simulations of profile evolution and roughening ind=1. For one-dimensionalMetropolis dynamics we provide an upper bound on the adatom mobility and obtain numerical estimates of its actual value, which indicate a nontrivial orientation dependence in this case. An alternative derivation of the macroscopic dynamics directly from the master equation is presented and discussed in relation to previous approximate work.