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High-performance computing of phase transitions using GPU

Research Project

Project/Area Number 25400406
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

OKABE Yutaka  首都大学東京, 理工学研究科, 客員教授 (60125515)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywordsモンテカルロ法 / GPU / クラスターフリップ法 / フラストレーション / イジングモデル / 準結晶 / レプリカ交換法 / 有限サイズスケーリング / スピンアイス / 並列計算 / ポッツモデル / XYモデル
Outline of Final Research Achievements

I developed parallel calculation of cluster-flip Monte Carlo algorithm using the Graphical Processing Unit (GPU). I enrolled the program of our group in the program library of Comp. Phys. Commun. for the convenience of other researchers.
I applied the GPU algorithm of the cluster-flip Monte Carlo simulation to the problem of the phase transition of the spin models on the quasi-lattices, that is, the Penrose lattice and its dual lattice. I also applied the GPU algorithm to the problem of ferromagnetic spin models on the pyrochlore lattice.
I also studied the frustrated antiferromagnetic systems on the pyrochlore lattice. Using the Wang-Landau method, which calculates the energy density of states directly, I studied the residual entropy of the diluted spin-ice models. Using the replica-exchange method for both the temperature and magnetic field, I investigated the magnetization curve of the diluted spin-ice problem.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (16 results)

All 2017 2016 2014 2013 Other

All Int'l Joint Research (1 results) Journal Article (9 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 9 results,  Acknowledgement Compliant: 3 results,  Open Access: 1 results) Presentation (6 results) (of which Int'l Joint Research: 1 results,  Invited: 3 results)

  • [Int'l Joint Research] 極東連邦大学(ロシア連邦)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Large-scale calculation of ferromagnetic spin systems on the pyrochlore lattice2017

    • Author(s)
      K. Soldatov, K. Nefedev, Y. Komura, Y. Okabe
    • Journal Title

      Phys. Lett. A

      Volume: 381 Issue: 7 Pages: 707-712

    • DOI

      10.1016/j.physleta.2016.12.039

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice2017

    • Author(s)
      A. Peretyatko, K. Nefedev, Y. Okabe
    • Journal Title

      Phys. Rev. B

      Volume: 95 Issue: 14 Pages: 144410-144410

    • DOI

      10.1103/physrevb.95.144410

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Application of Monte Carlo simulation with block-spin transformation based on the Mumford-Shah segmentation model to three-dimensional biomedical images2016

    • Author(s)
      S. Sashida, Y. Okabe, H.-K. Lee
    • Journal Title

      Computer Vision and Image Understanding

      Volume: 152 Pages: 176-189

    • DOI

      10.1016/j.cviu.2016.06.001

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Improved CUDA programs for GPU computing of Swendsen-Wang multi-cluster spin flip algorithm: 2D and 3D Ising, Potts, and XY models2016

    • Author(s)
      Y. Komura and Y. Okabe
    • Journal Title

      Comput. Phys. Commun.

      Volume: 200 Pages: 400-401

    • DOI

      10.1016/j.cpc.2015.10.003

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] High-Precision Monte Carlo Simulation of the Ising Models on the Penrose Lattice and the Dual Penrose Lattice2016

    • Author(s)
      Y. Komura and Y. Okabe
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 85 Issue: 4 Pages: 044004-044004

    • DOI

      10.7566/jpsj.85.044004

    • NAID

      40020789682

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Probing phase transition order of q-state Potts models using Wang-Landau algorithm2014

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

      AIP Conference Proceedings

      Volume: 1617 Pages: 79-82

    • DOI

      10.1063/1.4897109

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] CUDA programs for the GPU computing of the Swendsen-Wang multi-cluster spin flip algorithm: 2D and 3D Ising, Potts, and XY models2014

    • Author(s)
      Y. Komura and Y. Okabe
    • Journal Title

      Comp. Phys. Commun.

      Volume: 185 Issue: 3 Pages: 1038-1043

    • DOI

      10.1016/j.cpc.2013.10.029

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Comparison of multi-label graph cuts method and Monte Carlo simulation with block-spin transformation for the piecewise constant Mumford-Shah segmentation model2014

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

      Computer Vision and Image Understanding

      Volume: 119 Pages: 15-26

    • DOI

      10.1016/j.cviu.2013.11.001

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dynamically optimized Wang-Landau sampling with adaptive trial moves and modification factors2013

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

      Phys. Rev. E

      Volume: 88 Issue: 5

    • DOI

      10.1103/physreve.88.053302

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] High performance computing for statistical physics2016

    • Author(s)
      Y. Okabe
    • Organizer
      The 6th International Conference on Theoretical and Applied Physics
    • Place of Presentation
      Makassar, Indonesia
    • Year and Date
      2016-09-19
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] GPU-based computation of the Monte Carlo simulation of classical spin systems2014

    • Author(s)
      Y. Okabe and Y. Komura
    • Organizer
      Perspectives of GPU Computing in Physics and Astrophysics
    • Place of Presentation
      Rome, Italy
    • Year and Date
      2014-09-15 – 2014-09-17
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Mumford-Shah セグメンテーションモデルに基づくモンテカルロ法を用いた三次元画像領域分割2014

    • Author(s)
      佐次田 哲, 岡部 豊, H. K. Lee
    • Organizer
      第23回医用画像工学会大会
    • Place of Presentation
      東京慈恵医科大学
    • Year and Date
      2014-07-24 – 2014-07-26
    • Related Report
      2014 Research-status Report
  • [Presentation] 複数GPUを用いた大規模3次元Swendsen-Wangマルチクラスターアルゴリズムの開発2014

    • Author(s)
      小村幸浩,岡部豊
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] マルチスピンフリップモンテカルロ法を用いたスピンアイスの数値的研究2014

    • Author(s)
      千枝光司,大塚博巳,岡部豊
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] GPU-based computation with cluster spin flip algorithmfor the simulation of classical spin systems2013

    • Author(s)
      Y. Okabe and Y. Komura
    • Organizer
      Wesk-Lake International Workshop on Statistical Physics and Complex Systems
    • Place of Presentation
      Hangzhou, China
    • Related Report
      2013 Research-status Report
    • Invited

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Published: 2014-07-25   Modified: 2022-02-16  

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