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Dynamics of Fractal Structures

Research Project

Project/Area Number 03044012
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research InstitutionHokkaido University

Principal Investigator

NAKAYAMA Tsuneyoshi  Hokkaido University, Fac. of Engineering, Professor, 工学部, 教授 (80002236)

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
IVETA Piment  カルフォニア大学, 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  カルフォニア大学, ロス分校・物理学科, 教授
RAYMOND Orba  カルフォニア大学, ロス分校・物理学科, 教授
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥6,000,000 (Direct Cost: ¥6,000,000)
Fiscal Year 1992: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1991: ¥3,000,000 (Direct Cost: ¥3,000,000)
KeywordsFractal / Percolation / Fracton / Random / Localization / パ-コレ-ション
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.

Report

(2 results)
  • 1992 Final Research Report Summary
  • 1991 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] T.NAKAYAMA: "Dynamics of random fractals: large-scale simulations" Physica A. 191. 386-393 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T.NAKAYAMA: "Dynamical structue factor and single-length-scaling for random fractals" J.Phys.Soc.Jpn.61. 2601-2605 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T.Terao: "Localization exponents of waves in percolation system" J.Phys.Soc.Jpn.61. 2173-2177 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T.NAKAYAMA: "Numerical method for the analysis of optical waveguides" Optics Letters. 17. 326-328 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.TAKANO: "Numerical acheivement of strong localization of light" Jpn.J.Appl.Phys.31. L839-L842 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T.NAKAYAMA(分担): "Soft Order in Physical Systems" Plenum Press, (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T. Nakayama: "Dynamics of random fractals : large-scale simulations" Physica A. 191. 386-393 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T. Nakayama and K. Yakubo: "Dynamical structure factor and single-length scaling for random fractals" J. Phys. Soc. Jpn.61. 2601-2605 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T. Terao, K. Yakubo, and T. Nakayama: "Localization exponents of waves in percolation systems" J. Phys. Soc. Jpn.61. 2173-2177 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T. Nakayama, M. Takano, K. Yakubo, and T. Yamanaka: "Numerical method for the analysis of optical waveguides" Optics Letters. 17. 326-328 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M. Takano: "Numerical acheivement of strong localization of light" Jpn. J. Appl. Phys.31. L839-L842 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] T. Nakayama: Plenum Press. Soft order in physical systems, (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] K.Yakubo: "Analysis of a new method for finding eigenmodes of very large lattice systems" J.Phys.Soc.Japan. 60. 3249-3259 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Nakayama: "Raman correlation function of percolating networks" Proc.Inter.Symp.on Slow Dynamics in Condensed Matter,edited by M.Tokuyama (AIP press,NY),.

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Nakayama: "Dynamical correlation function of fractal networks:computer simulations" Proc.Inter.Meeting on Computational Physics for Condensed Matter Phenomena-Methodology and Application,edited by H.Takayama,.

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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