曲面上的粒子--相场晶体模型的动力学方法
Particles on curved surfaces - a dynamic approach by a phase field crystal model
摘要：
本文提出了一个动力学模型来研究任意曲面上粒子的有序性。由此，粒子被表示为密度场中的最大值，并且密度场的表面偏微分方程被求解为最小能量配置。我们研究了有序系统内位错的湮灭和沿晶界疤痕的预熔化。在一个球体上获得的最小能量配置与现有的结果进行比较，并计算作为系统尺寸的函数的过量位错的数量的标度律。
英文摘要：
We present a dynamic model to study ordering of particles on arbitrary curved surfaces. Thereby the particles are represented as maxima in a density field and a surface partial differential equation for the density field is solved to the minimal energy configuration. We study annihilation of dislocations within the ordered sytem and premelting along grain boundary scars. The obtained minimal energy configurations on a sphere are compared with existing results and scaling laws are computed for the number of excess dislocations as a function of system size.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
