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

• Project/Area Number: 18540379
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Tokyo Metropolitan University
• Principal Investigator: OKABE Yutaka Tokyo Metropolitan University, 理工学研究科, 教授 (60125515)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,880,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥480,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2006: ¥1,800,000 (Direct Cost: ¥1,800,000)
• 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 / ポッツモデル / 希釈系 / 周辺尤度関数 / Wang-Landau法 / KT転移 / vortex / 画像領域分割 / XYモデル / クロックモデル / 希釈 / 非平衡 / Langevin方程式

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

• [Journal Article] Crossover of Criticality in a Three-State Potts Antiferromagnet with a StaggeredPolarization Field (2008)
  • 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 lattice (2008)
  • Author(s): T. Surungan, N. Kawashima and Y. Okabe
  • Journal Title: Phys. Rev. B77
• [Journal Article] Critical properties of the edge-cubic spin model on a square lattice (2008)
  • Author(s): T. Surungan, N. Kawashima, Y. Okabe
  • Journal Title: Phys. Rev. B77
  • Peer Reviewed
• [Journal Article] Crossover of Criticality in a Three-State Potts Antiferromagnet with a staggered Polarization Field (2008)
  • Author(s): H. Otsuka, Y. Okabe, K. Okunishi
  • Journal Title: J. Korea Phys. Soc. 53 Pages: 1280-1285
  • Peer Reviewed
• [Journal Article] Phase diagram and string-density plateau state of the anisotropic triangularantiferromagnetic Ising model (2007)
  • Author(s): H. Otsuka, Y. Okabe and K. Okunishi
  • Journal Title: J. Phys. : Condens. Matter 19
• [Journal Article] Entropy of Polymer Brushes in Good Solvents : A Monte Carlo Study (2007)
  • Author(s): K. Ohno, T. Sakamoto, T. Minagawa, and Y. Okabe
  • Journal Title: Macromolecules 40 Pages: 723-730
• [Journal Article] Entropy of Polymer Brushes in Good Solvents: A Monte Carlo study (2007)
  • Author(s): K. Ohno
  • Journal Title: Macromolecules 40 Pages: 723-730
  • Peer Reviewed
• [Journal Article] Phase diagram and string-density plateau state of the anisotrop trian gular antiferromagnetic Ising model (2007)
  • Author(s): H. Otsuka
  • Journal Title: J. Phys. : Condens. Matter 19
  • Peer Reviewed
• [Journal Article] Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model withanisotropic next-nearest-neighborcoupling : Level-spectroscopy approach (2006)
  • Author(s): H. Otsuka, Y. Okabe and K. Nomura
  • Journal Title: Phys. Rev. E74
• [Journal Article] Monte Carlo study of the antiferromagneticthree-state Potts model with staggeredpolarization field on the square lattice (2006)
  • Author(s): Y. Okabe and H. Otsuka
  • Journal Title: J. Phys. A39 Pages: 9093-9105
• [Journal Article] Convergence and refinement of the Wang-Landau algorithm (2006)
  • 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 NonequilibriumReweighting (2006)
  • 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 approach (2006)
  • Author(s): X. Z. Cheng, M. B. A. Jalil, H. K. Lee and Y. Okabe
  • Journal Title: J. Appl. Phys. 99
• [Journal Article] Exchange Bias with Interacting Random Antiferromagnetic Grains (2006)
  • Author(s): H. K. Lee and Y. Okabe
  • Journal Title: Phys. Rev. B73
• [Journal Article] Field-induced Berezinskii-Kosterlitz-Thouless Transition and String-Density Plateau in Anisotropic Triangular Antiferromagnetic Ising Model (2006)
  • Author(s): H.Otsuka
  • Journal Title: Phys. Rev. E 73
• [Journal Article] Exchange Bias with Interacting Random Antiferromagnetic Grains (2006)
  • Author(s): H.K.Lee
  • Journal Title: Phys. Rev. B 73
• [Journal Article] Precessional and thermal relaxation dynamics of magnetic nanoparticles : A time-quantified Monte Carol approach (2006)
  • Author(s): X.Z.Cheng
  • Journal Title: J. Appl. Phys. 99
• [Journal Article] Multispin Coding Technique for Nonequilibrium Reweighting (2006)
  • Author(s): H.K.Lee
  • Journal Title: Int. J. Mod. Phys. C 17 Pages: 157-166
• [Journal Article] Convergence and refinement of the Wang-Landau algorithm (2006)
  • Author(s): H.K.Lee
  • Journal Title: Comp. Phys. Commun. 175 Pages: 36-40
• [Journal Article] Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice (2006)
  • Author(s): Y.Okabe
  • Journal Title: J. Phys. A 39 Pages: 9093-9105
• [Journal Article] Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model with anisotropic next-nearest-neighbor coupling : Level-spectroscopy approach (2006)
  • Author(s): H.Otsuka
  • Journal Title: Phys. Rev. B 74
• [Presentation] ペ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: 2009-03-30
• [Presentation] 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, 大関真之
  • Organizer: 日本物理学会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [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
• [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
• [Presentation] モンテカルロ法による画像修復におけるバ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: 2008-09-22
• [Presentation] Computational Science and Infrastructure for Supercomputing in Japan -- Development of an Over Peta Scale Supercomputer -- (2008)
  • Author(s): Y. Okabe
  • Organizer: CCP 2008
  • Place of Presentation: Ouro Preto, Brazil
  • Year and Date: 2008-08-08
• [Presentation] Monte Carlo Study of Image Segmentation Problem (2008)
  • Author(s): Y. Okabe
  • Organizer: StatPhys-Taiwan-2008
  • Place of Presentation: Academia Sinica, Taiwan
  • Year and Date: 2008-07-08
• [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
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-25
• [Presentation] Tcに依存しない有限サイズスケーリング (2008)
  • Author(s): 安田猛
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-23
• [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
• [Presentation] Monte Carlo Study of Image Segmentation Problem(invited) (2008)
  • Author(s): Y. Okabe
  • Organizer: StatPhys- Taiwan-2008
  • Place of Presentation: Academia Sinica, Taiwan
• [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
• [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
• [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
• [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
• [Presentation] cubic対称性をもつ2次元スピン系の相転移 (2007)
  • Author(s): 安田猛
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-22
• [Presentation] 画像領域分割とモンテカルロ法 (2007)
  • Author(s): 渡辺博史
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-21
• [Presentation] Crossover of Criticality in Three-State PottsAntiferromagnet with Staggered PolarizationField (2007)
  • Author(s): H. Otsuka and Y. Okabe
  • Organizer: The 10th Asia Pacific Physics Conference (APPC10)
  • Place of Presentation: Pohang, Korea
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [Book] 熱・統計力学 (2008)
  • Author(s): 岡部豊
  • Publisher: 朝倉書店