• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Monte Carlo Simulation of Quantum and Random Spin Systems

Research Project

Project/Area Number 07640518
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionTOKYO METROPOLITAN UNIVERSITY

Principal Investigator

OKABE Yutaka  TOKYO METROPOLITAN UNIVERSITY Graduate School of Science, Professor, 理学研究科, 教授 (60125515)

Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1996: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1995: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsfinite size scaling / Ising model / ordering dynamics / exchange Monte Carlo / shear flow / Kawasaki dynamics / モンテカルロ法 / 秩序形成 / ポッツモデル / ランダム磁場
Research Abstract

The effect of randomness on phase transitions and critical phenomena is an interesting problem. The purpose of the present study is to perform massive Monte Carlo simulation for getting accurate numerical information on quantum and random spin systems. We here focus on three topics from several subjects.
First, we have studied the problem of the universal finite-size scaling. We have shown that this concept can be applied to the two-dimensional Ising model, where we have paid special attention to the boundary conditions. Especially, we have studied the finite-size scaling of the rectangular lattice with tilted boundary conditions.
Second, we have applied the exchange Monte Carlo method to the ordering dynamics of the three-component system with the conserved order parameter. We have observed a rapid domain growth even for the deeply quenched case to low temperatures, and have found that a domain growth is controlled by a simple algebraic growth law with the exponent 1/3.
Third, we have developed a new fast simulation method to study phase separation under shear flow by using spin model. It enables us to study the effect of thermal fluctuation on phase separation which could not be studied by conventional simulation methods. We have also proposed a new method to analyze anisotropic temporal evolution of structure factor.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] Y.Okabe: "Phase Transition of the Random Potts Mode 1" Computational Physics as a New Frontier in Condensed Matter Physics. 247-254 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kikuchi: "Multispin Coding of the Monte Carlo Simulation of the Three-State Potts Model and the Block-Spin Transformation" Int.J.Mod.Phys.C.Vol6.No.6. 747-763 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Okabe: "Universal Finite-Size-Scaling Functions" Int.J.Mod.Phys.C. Vol7.No.3. 287-294 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kikuchi: "Statistical Dependence Analysis" Int.J.Mod.Phys.C. Vol7.No.3. 379-387 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Okabe and M.Kikuchi: "Phase Transition of the Random Potts Model" Computational Physics as a New Frontier in Condensed Matter Research. 247-254 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kikuchi and Y.Okabe: "Multispin Coding of the Monte Carlo Simulation of the Three-State Potts Model and the Block-Spin Transformation" Int.J.Mod.Phys.C6. 747-763 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Okabe and M.Kikuchi: "Universal Finite-Size-Scaling Functions" Int.J.Mod.Phys.C7. 287-294 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kikuchi, N.Ito and Y.Okabe: "Statistical Dependence Analysis" Int.J.Mod.Phys.C7. 379-387 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Okabe: "Universal Finite-Size-Scaling Functions" Int.J.Mod.Phys.C. Vol.7,No.3. 287-294 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Kikuchi: "Statistical Dependence Analysis" Int.J.Mod.Phys.C. Vol.7,No.3. 379-387 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Okabe: "Phase Transition of the Random Potts Model" Computational Physics as a New Frontier in Condensed Matter Research. 247-254 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Okabe: "Universal Finite-Size-Scaling Functions" Proceedings of the US-Japan Bilateral Seminar on New Trends in Computer Simulation of Spin Systems. (印刷中). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] M.Kikuchi: "Statistical Dependence Analysis" Proceedings of the US-Japan Bilateral Seminar on New Trends in Computer Simulation of Spin Systems. (印刷中). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] M.Kikuchi: "Multispin Coding of the Monte Carlo Simulation of the Three-State Potts Model and the Block-Spin Transformation" Int.J.Mod.Phys.C. (印刷中). (1996)

    • Related Report
      1995 Annual Research Report

URL: 

Published: 1995-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi