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2008 Fiscal Year Final Research Report

Studies on Static and Dynamical Critical Phenomena for Complex Spin Systems Using the Monte Carlo Methods

Research Project

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Project/Area Number 18540379
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTokyo Metropolitan University

Principal Investigator

OKABE Yutaka  Tokyo Metropolitan University, 理工学研究科, 教授 (60125515)

Project Period (FY) 2006 – 2008
Keywordsモンテカルロ法 / ランダムスピン系 / 双対性 / ナノ磁性体 / 画像処理
Research Abstract

新しいモンテカルロアルゴリズムを用いて、困難とされてきたランダム系、フラストレート系などの問題に取り組んだ。具体的に、反強磁性3状態ポッツモデルにおける交替分極場の効果、立方対称性をもつ2次元スピン系の相転移、ランダム希釈系の相転移、Kosterlitz-Thouless転移を示す系における自由渦の問題などを取り上げた。我々が提唱した非平衡 reweighting法の応用、ナノ磁性体のダイナミックス、交換バイアスの問題も扱った

  • Research Products

    (28 results)

All 2009 2008 2007 2006

All Journal Article (10 results) Presentation (17 results) Book (1 results)

  • [Journal Article] Crossover of Criticality in a Three-State Potts Antiferromagnet with a StaggeredPolarization Field2008

    • Author(s)
      H. Otsuka, Y. Okabe and K. Okunishi
    • Journal Title

      J. Korea Phys. Soc. 53

      Pages: 1280-1285

  • [Journal Article] Critical properties of the edge-cubic spin model on a square lattice2008

    • Author(s)
      T. Surungan, N. Kawashima and Y. Okabe
    • Journal Title

      Phys. Rev. B77

      Pages: 214401-(1-7)

  • [Journal Article] Phase diagram and string-density plateau state of the anisotropic triangularantiferromagnetic Ising model2007

    • Author(s)
      H. Otsuka, Y. Okabe and K. Okunishi
    • Journal Title

      J. Phys. : Condens. Matter 19

      Pages: 145236(6)

  • [Journal Article] Entropy of Polymer Brushes in Good Solvents : A Monte Carlo Study2007

    • Author(s)
      K. Ohno, T. Sakamoto, T. Minagawa, and Y. Okabe
    • Journal Title

      Macromolecules 40

      Pages: 723-730

  • [Journal Article] Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model withanisotropic next-nearest-neighborcoupling : Level-spectroscopy approach2006

    • Author(s)
      H. Otsuka, Y. Okabe and K. Nomura
    • Journal Title

      Phys. Rev. E74

      Pages: 011104-(1-7)

  • [Journal Article] Monte Carlo study of the antiferromagneticthree-state Potts model with staggeredpolarization field on the square lattice2006

    • Author(s)
      Y. Okabe and H. Otsuka
    • Journal Title

      J. Phys. A39

      Pages: 9093-9105

  • [Journal Article] Convergence and refinement of the Wang-Landau algorithm2006

    • Author(s)
      H. K. Lee, Y. Okabe and D. P. Landau
    • Journal Title

      Comp. Phys. Commun. 175

      Pages: 36-40

  • [Journal Article] Multispin Coding Technique for NonequilibriumReweighting2006

    • Author(s)
      H. K. Lee and Y. Okabe
    • Journal Title

      Int. J. Mod. Phys. C17

      Pages: 157-166

  • [Journal Article] Precessional and thermal relaxation dynamics of magneticnanoparticles : A time-quantified MonteCarlo approach2006

    • Author(s)
      X. Z. Cheng, M. B. A. Jalil, H. K. Lee and Y. Okabe
    • Journal Title

      J. Appl. Phys. 99

      Pages: 08B901(1-4)

  • [Journal Article] Exchange Bias with Interacting Random Antiferromagnetic Grains2006

    • Author(s)
      H. K. Lee and Y. Okabe
    • Journal Title

      Phys. Rev. B73

      Pages: 140403(R)-(1-4)

  • [Presentation] ベイズ理論に基づく画像処理におけるWang-Landau法を用いた尤度関数の計算2009

    • Author(s)
      佐次田哲, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      20090300
  • [Presentation] 大関真之「2次元q状態Pottsモデルのボンド希釈の相転移」2009

    • Author(s)
      小村幸浩, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      立教大学
    • Year and Date
      20090300
  • [Presentation] モンテカルロ法による画像修復におけるハイパーパラメータ推定2008

    • Author(s)
      佐次田哲, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      20080900
  • [Presentation] 2次元一般化XYモデルの相転移2008

    • Author(s)
      小村幸浩, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      岩手大学
    • Year and Date
      20080900
  • [Presentation] Computational Science and Infrastructure for Supercomputing inJapan - Development of an Over Peta ScaleSupercomputer -(invited)2008

    • Author(s)
      Y. Okabe
    • Organizer
      CCP 2008
    • Place of Presentation
      Ouro Preto, Brazil
    • Year and Date
      20080800
  • [Presentation] Monte Carlo Study of Image Segmentation Problem(invited)2008

    • Author(s)
      Y. Okabe
    • Organizer
      StatPhys- Taiwan-2008
    • Place of Presentation
      Academia Sinica, Taiwan
    • Year and Date
      20080700
  • [Presentation] モンテカルロ法による画像領域分割の拡張2008

    • Author(s)
      渡辺博史, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      20080300
  • [Presentation] T_c に依存しない有限サイズスケーリング2008

    • Author(s)
      安田建, 岡部豊, 川島直輝
    • Organizer
      日本物理学会
    • Place of Presentation
      近畿大学
    • Year and Date
      20080300
  • [Presentation] cubic対称性をもつ2次元スピン系の相転移2007

    • Author(s)
      安田建, 岡部豊, 川島直輝
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      20070900
  • [Presentation] 画像領域分割とモンテカルロ法2007

    • Author(s)
      渡辺博史, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      20070900
  • [Presentation] Crossover of Criticality in Three-State PottsAntiferromagnet with Staggered PolarizationField2007

    • Author(s)
      H. Otsuka and Y. Okabe
    • Organizer
      The 10th Asia Pacific Physics Conference (APPC10)
    • Place of Presentation
      Pohang, Korea
    • Year and Date
      20070800
  • [Presentation] ランダムカイラルVillainモデルの双対性とモンテカルロシミュレーション2007

    • Author(s)
      高山利彦, 岡部豊
    • Organizer
      日本物理学会
    • Place of Presentation
      鹿児島大学
    • Year and Date
      20070300
  • [Presentation] Kosterlitz-Thouless transition for diluted system and dualityrelation(invited)2006

    • Author(s)
      Y. Okabe
    • Organizer
      3rd International Workshop Hangzhou 2006 on SimulationalPhysics
    • Place of Presentation
      Zhejiang University, Hangzhou, China
    • Year and Date
      20061100
  • [Presentation] 希釈Villainモデルと双対性II」2006

    • Author(s)
      高山利彦, 岡部豊, 笹本智弘, 西森秀稔
    • Organizer
      日本物理学会
    • Place of Presentation
      千葉大学
    • Year and Date
      20060900
  • [Presentation] Duality and finite-size scaling analysis of the two-dimensionaldiluted Villain model(invited)2006

    • Author(s)
      Y. Okabe
    • Organizer
      ISSP International Symposium on ComputationalApproaches to Quantum Critical Phenomena
    • Place of Presentation
      ISSP, Kashiwa
    • Year and Date
      20060800
  • [Presentation] Duality in diluted spin models(invited)2006

    • Author(s)
      Y. Okabe
    • Organizer
      US-Japan Bilateral Seminar, Simulation of Complex Behaviorfrom Simple Models
    • Place of Presentation
      Mauii
    • Year and Date
      20060700
  • [Presentation] Duality in the phase transition of two-dimensional dilutedspin models(invited)2006

    • Author(s)
      Y. Okabe
    • Organizer
      StatPhys-Taiwan- 2006, Academia Sinica
    • Place of Presentation
      Taipei
    • Year and Date
      20060600
  • [Book] 熱・統計力学2008

    • Author(s)
      岡部豊
    • Publisher
      朝倉書店

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Published: 2010-06-10   Modified: 2016-04-21  

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