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Development of Fast Algorithm for Dynamic Correlation Functions

Research Project

Project/Area Number 10650061
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionHokkaido University

Principal Investigator

NAKAYAMA Tsuneyoshi  Hokkaido Univ.Grad.School of Eng., Prof., 大学院・工学研究科, 教授 (80002236)

Co-Investigator(Kenkyū-buntansha) YAKUBO Kousuke  Hokkaido Univ.Grad.School of Eng., Associate Prof., 大学院・工学研究科, 助教授 (40200480)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1998: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsAlgorithm / FOM / Eigenvalues / Large matrices / Dynamic correlation
Research Abstract

The aim of this research project is to develop the algorithm efficient for the eigenvalue analysis and computing dynamic correlation functions. In addition, we extend this algorithm to the Hermitian and non-Hermitian large-scale matrices. In this fisical year, we have succeeded to extend the algorithm as applicable any type of large-scale matrices. We have also applied this algorithm to various physical systems and demonstrated its efficiency.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] Tsuneyoshi Nakayama: "The forced oscillator method : its applications to physical systems"RIKEN Review. 29・6. 16-19 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tsuneyoshi Nakayama: "The forced oscillator method and the Kubo formula"Prog.Theor.Phys.Suppl.. 138. 60-65 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Shima: "Anderson transition in 3D systems"Prog.Theor.Phys.Suppl.. 138. 515-516 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao: "Bond-orientational order of 2D colloidal crystal"Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao: "Reversible cluster-cluster aggregation and colloidal gels"Prog.Theor.Phys.Suppl.. 138. 354-359 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao: "Effective interaction between highly charged colloidal particles under geometrical cofinement"J.P;hys.:Condens.Matter. 12. 5169-5177 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao: "Melting transition of two-dimensional colloidal crystal"Statistical Physics. 235-237 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Nakayama: "The forced oscillator method"Physics Reports. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Nakayama and H.Shima: "The forced oscillator method : its applications to physical systems"RIKEN Review. 29-6. 16-19 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Nakayama: "The forced oscillator method and the Kubo formula"Prog.Theor.Phys.Suppl.. 138. 60-65 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Shima and T.Nakayama: "Anderson transition in 3D systems"Prog.Theor.Phys.Suppl.. 138. 515-516 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao and T.Nakayama: "Bond-orientational order of 2D colloidal crystal"Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T,.Terao, T.Nakayama: "Reversible cluster-cluster aggregation and colloidal gels"Prog.Theor.Phys.Suppl.. 138. 354-359 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao and T.Nakayama: "Effective interaction between highly charged colloidal particles under geometrical cofinement"J.Phys. : Condens. Matter. 12. 5169-5177 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Terao and T.Nakayama: "Melting transition of two-dimensional colloidal crystal"Statistical Physics. 235-237 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Nakayama, K.Yakubo: "The forced oscillator method"Physics Reports. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tsuneyoshi Nakayama: "The forced oscillator method : its applications to physical systems"RIKEN Review. 29・6. 16-19 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "The forced oscillator method and the Kubo formula"Prog.Theor.Phys.Suppl.. 138. 60-65 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Shima: "Anderson transition in 3D systems"Prog.Theor.Phys.Suppl.. 138. 515-516 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Terao: "Bond-orientational order of 2D colloidal crystal"Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Terao: "Reversible cluster-cluster aggregation and colloidal gels"Prog.Theor.Phys.Suppl.. 138. 354-359 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Terao: "Effective interaction between highly charged colloidal particles under geometrical cofinement"J.P ; hys. : Condens. Matter. 12. 5169-5177 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Terao: "Melting transition of two-dimensional colloidal crystal"Statistical Physics. 235-237 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Nakayama: "The forced oscillator method"Physics Reports. (in press).

    • Related Report
      2000 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "On the increase of thermal conductivity in glasses above the plateau region"Physica B. 263&264. 261-263 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "Strongly localized modes as the origin of the Bose peak in glasses"Physica B. 263&264. 243-247 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "Anharmonicity and thermal transport in network glasses"Europhys. Lett.. 47(4). 468-473 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "Microscopic buckling and low-energy dynamics in glasses"J. Phys. Soc. Jpn.. 68(11). 3540-3555 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Shima: "Critical behavior of ac conductivity near the Anderson transition"Physical Review B. 60(20). 14066-14071 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Terao: "Crystallization in quasi-two-dimensional colloidal systems at an air-water interface"Physical Review E. 60(6). 7157-7162 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "The origin of the Boson peak in network-norming glasses" J.Phys. : Condens.Matter. 10(1). L41-L47 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "Low-energy excitations in water : A simple-mode Analysis" Physical Reviw Letters. 80(6). 1244-1247 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Shima: "Finite-time scaling for the 3d Anderson transition" J.Phys.Soc.Jpn. 67(7). 2189-2192 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Tsuneyoshi Nakayama: "Computing the Kubo formula for large systems" Physical Review E. 58(3). 3984-3992 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Yakubo: "Finite-size scaling of multifractal wave functions : The metal-insulator transition in two-dimensional symplectic systems" Physical Review B. 58(6). 9767-9772 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Yakubo: "Transfer matrix method for a dynamical mesocopic system" Physical Review E. 57(3). 3602-3610 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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