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KINETIC MODELS OF ORDERING IN TWO DIMENSIONS

机译:两个维度订购的动力学模型

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摘要

The approach to equilibrium of ordered superlattice structures on surfaces is analyzed. Both Monte Carlo methods as well as analytic models of interacting domain walls are used to study the kinetics of quenched, two-dimensional systems with Q degenerate equilibrium states. In particular, the growth of long-range order in the magnetic analogs of the commensurate superlattice structures found on surfaces is analyzed in a study of the kinetics of typical domain geometries that are found when systems are quenched from high (disordered state) to low temperatures. Calculations and simulations of the time and temperature dependence of the domain sizes for the model system of isolated domains indicate that for two dimensions roughening fluctuations of the domain walls strongly influence the grain growth kinetics. Strip-shaped domains approach equilibrium almost entirely through these fluctuations, while circular domains shrink due to deterministic curvature, but with a rate that is strongly temperature dependent even for temperatures outside the critical region.
机译:分析了表面上有序超晶格结构的平衡方法。蒙特卡罗方法以及相互作用畴壁的分析模型用于研究淬火的二维系统的动力学,具有Q退化均衡状态。特别地,在表面上发现的典型结构域几何形状的动力学的研究中,在从高(无序状态)到低温下发现的典型结构域几何形状的动力学的研究中,分析了在表面上发现的相应超晶格结构的远程顺序的生长。分离域模型系统的域尺寸的时间和温度依赖性的计算和模拟表明,对于两个尺寸的粗糙度波动,畴壁的波动强烈影响晶粒生长动力学。条形域几乎完全通过这些波动进行平衡,而圆形域因确定性曲率而缩小,但是甚至临界区域外的温度依赖的速率强烈依赖。

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