1992 Fiscal Year Final Research Report Summary
Dynamics of Fractal Structures
| Project/Area Number |
03044012
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| Research Category |
Grant-in-Aid for international Scientific Research
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| Allocation Type | Single-year Grants |
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| Section | Joint Research |
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| Research Institution | Hokkaido University |
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Principal Investigator |
NAKAYAMA Tsuneyoshi Hokkaido University, Fac. of Engineering, Professor, 工学部, 教授 (80002236)
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| Co-Investigator(Kenkyū-buntansha) |
IVETA PIMENT カルフォルニア大学, ロス分校・物理学科, 助手
SHLOMO ALEXA ワイズマン研究所, 物理化学部門, 教授
ROBIN BRUINS カルフォルニア大学, ロス分校・物理学科, 教授
RAYMOND ORBA カルフォルニア大学, リバーサイド校, 学長
OTSUKI Toshiya Fukui University, Fac. of Engineering, Professor, 工学部, 教授 (10203845)
MATSUSITA Mitsugu Chuo University, Fac. of Science and Engineering, Professor, 理工学部, 教授 (20091746)
YAKUBO Kousuke Hokkaido University, Fac. of Engineering, Lecturer, 工学部, 講師 (40200480)
PIMENTAL Iveta University of California, Physics Dept., Research Associate
ALEXANDER Shlomo The Weizman Inst. of Science, Dept. of Chemical Physics, Professor
BRUINSMA Robin University of California, Physics Dept., Professor
ORBACH Raymond University of California, Riverside, Chanceller
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| Project Period (FY) |
1991 – 1992
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| Keywords | Fractal / Percolation / Fracton / Random / Localization |
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| Research Abstract |
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.
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