Dynamics of Fractal Structures

分形结构动力学

• 批准号: 03044012
• 负责人: NAKAYAMA Tsuneyoshi
• 金额: $ 3.84万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for international Scientific Research
• 财政年份: 1991
• 资助国家: 日本
• 起止时间: 1991 至 1992
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03044012/
• 关键词: Fractal; Percolation; Fracton; Random; Localization; パ-コレ-ション

There are a number of physical systems exhibiting measurable dynamical properties which exhibit fractal geometry. Examples are : site-diluted magnetic structures, silica aerogels and glasses and amorphous materials. Computer simulations are essential to develop the insight into the dynamics of fractal structures, i.e., they do more than simply verify physical assumptions. The purpose of this project is to understand the very nature of the excitations of strongly random structures, and ultimately enable the investigator to develop phenomenological expressions for physical quantities. This project will shed considerable light on the debate over the use of scaling for the interpretation of light scattering experiments, as well as for the calculation of matrix elements for vibrational (hopping) transport processes.

有许多物理系统表现出可测量的动力学性质，它们表现出分形几何。例如：位置稀释的磁性结构，二氧化硅气凝胶和玻璃以及无定形材料。计算机模拟对于发展对分形结构动力学的洞察是必不可少的，即，它们不仅仅是验证物理假设。这个项目的目的是了解强随机结构的激发的本质，并最终使研究人员能够开发物理量的唯象表达式。这个项目将揭示相当多的光在使用缩放的光散射实验的解释，以及计算矩阵元素的振动（跳跃）运输过程的争论。

项目成果

T. Nakayama, M. Takano, K. Yakubo, and T. Yamanaka: "Numerical method for the analysis of optical waveguides" Optics Letters. 17. 326-328 (1993)

T. Nakayama、M. Takano、K. Yakubo 和 T. Yamanaka：“光波导分析的数值方法”《光学快报》。

T.NAKAYAMA: "Numerical method for the analysis of optical waveguides" Optics Letters. 17. 326-328 (1992)

T.NAKAYAMA：“光波导分析的数值方法”《光学快报》。

T. Nakayama: Plenum Press. Soft order in physical systems, (1993)

T. Nakayama：全会出版社。

T.NAKAYAMA: "Dynamical structue factor and single-length-scaling for random fractals" J.Phys.Soc.Jpn.61. 2601-2605 (1992)

T.NAKAYAMA：“随机分形的动态结构因子和单长度缩放”J.Phys.Soc.Jpn.61。

M.TAKANO: "Numerical acheivement of strong localization of light" Jpn.J.Appl.Phys.31. L839-L842 (1992)

M.TAKANO：“光强局域化的数值实现”Jpn.J.Appl.Phys.31。