Many Body Effects in Random Alloys

合金制造的进步已经导致了增加的 强调准确的结构表征。 研究 在这里进行的研究涉及内部应变的随机 不同原子的尺寸效应导致的固溶体。 最近的工作表明，解析解是可能的， 的简单格积分，其特征在于拓扑 晶格的刚性。 稠密随机的多体方面 强调了重叠应变场的阵列。 的目的 研究的目的是产生物理量的分析结果 这是可以通过实验测量的。 其中包括布拉格和 黄分量的x射线和中子衍射，以及平均和 从EXAFS获得的近邻距离的方差 实验 分析工作将由计算机进行验证 模拟使用现实的潜力，以产生放松的样本 从中可以提取实验感兴趣的量。 这种统一的方法将应用于半导体，FCC金属 和稀有气体固体。

Advances in the fabrication of alloys have led to an increased emphasis on accurate structural characterization. The research conducted here involves a study of the internal strains in random solid solutions caused by the size effect of the different atoms. Recent work has shown that analytic solutions are possible in terms of simple lattice integrals which characterize the topological rigidity of the lattice. The many body aspects of dense random arrays of overlapping strain fields are emphasized. The aim of the research is to produce analytical results for physical quantities that can be experimentally measured. These include the Bragg and Huang components of x-ray and neutron diffraction, and the mean and variance of the near neighbor distances obtained from EXAFS experiments. The analytic work will be verified by computer simulations using realistic potentials to generate relaxed samples from which quantities of experimental interest can be extracted. This unified approach will be applied to semiconductors, FCC metals and rare gas solids.