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Phase Transition with an Ergodicity Breaking in Lattice Glass Models

Research Project

Project/Area Number 25400387
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 InstitutionKanagawa University (2014-2016)
Tohoku University (2013)

Principal Investigator

Sasaki Munetaka  神奈川大学, 工学部, 准教授 (80400282)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsガラス / エルゴード性の破れ / 位相空間分割転移 / スピングラス / レプリカ対称性の破れ / エイジング / 非平衡ダイナミクス / 格子ガラスモデル / スローダイナミクス / 格子ガスモデル
Outline of Final Research Achievements

I invented an efficient Monte-Carlo method for lattice glass models. I also invented a numerical method of directly detecting ergodicity breaking in glassy systems. To examine the validity of the method, I applied it to the Biroli-Mezard (BM) lattice glass model on a regular random graph. As a result, I found that our method detects an ergodicity breaking at an occupation density predicted by the cavity method. I also studied aging phenomena of response to an external field in the BM lattice glass model by introducing magnetization and magnetic field to the model. As a result, I obtained several curious results such as nonmonotonous time-dependence of magnetization in a constant field.

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

    (13 results)

All 2017 2016 2015 2014 2013

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 2 results) Presentation (7 results)

  • [Journal Article] Numerical Detection of Ergodicity Breaking in a Glass Model2016

    • Author(s)
      M Sasaki, K Hukushima
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85 Issue: 7 Pages: 074602-074602

    • DOI

      10.7566/jpsj.85.074602

    • NAID

      40020880803

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Detection of the Ergodicity Breaking in a Glass Model2016

    • Author(s)
      Munetaka Sasaki, Koji Hukushima
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 85

    • NAID

      40020880803

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Parallelized Stochastic Cutoff Method for Long-Range Interacting Systems2015

    • Author(s)
      Eishin Endo, Yuta Toga, Munetaka Sasaki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 7 Pages: 074002-074002

    • DOI

      10.7566/jpsj.84.074002

    • NAID

      40020522593

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Design of Domain Wall Spin Torquemeter2015

    • Author(s)
      Katsuyoshi Matsushita, Munetaka Sasaki
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 4 Pages: 043801-043801

    • DOI

      10.7566/jpsj.84.043801

    • NAID

      40020425863

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Enhancement of Spin Correlation in Cr2O3 Film Above Neel Temperature Induced by Forming a Junction With Fe2O3 Layer: First-Principles and Monte-Carlo Study2014

    • Author(s)
      Yohei Kota, Hiroshi Imamura, Munetaka Sasaki
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 50 Issue: 11 Pages: 1-4

    • DOI

      10.1109/tmag.2014.2324014

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] A List Referring Monte-Carlo Method for Lattice Glass Models2013

    • Author(s)
      M. Sasaki and K. Hukushima
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: Vol.82 Issue: 9 Pages: 094003-094003

    • DOI

      10.7566/jpsj.82.094003

    • NAID

      40019788462

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Aging Phenomena of Response to an External Field in the Biroli-Mezard Lattice Glass Model2017

    • Author(s)
      Munetaka Sasaki
    • Organizer
      International workshop on Glasses and Related Nonequilibrium Systems
    • Place of Presentation
      大阪大学中之島センター
    • Related Report
      2016 Annual Research Report
  • [Presentation] Irreversibleモンテカルロ法の改良への試み2016

    • Author(s)
      佐々木志剛
    • Organizer
      統計物理の新展開2016
    • Place of Presentation
      大阪大学中之島センタ
    • Year and Date
      2016-03-25
    • Related Report
      2015 Research-status Report
  • [Presentation] レプリカ間遷移の抑制による、Irreversible MC法の改良2016

    • Author(s)
      佐々木志剛
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学
    • Year and Date
      2016-03-20
    • Related Report
      2015 Research-status Report
  • [Presentation] Biroli-Mezard格子ガラスモデルにおける外場応答のエイジング現象2016

    • Author(s)
      佐々木志剛
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学
    • Related Report
      2016 Annual Research Report
  • [Presentation] 温度により早期パターンが異なるニューラルネットワークの構成2015

    • Author(s)
      佐々木志剛
    • Organizer
      統計物理の新展開2015
    • Place of Presentation
      ラフォーレ伊東
    • Year and Date
      2015-06-21
    • Related Report
      2015 Research-status Report
  • [Presentation] 長距離相互作用系におけるモンテカルロ計算の並列処理II 確率的カットオフ法とグラフ彩色問題を用いて2015

    • Author(s)
      遠藤栄進、栂裕太、佐々木志剛
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 長距離相互作用系におけるモンテカルロ計算の並列処理 確率的カットオフ法とグラフ彩色問題を用いて2014

    • Author(s)
      遠藤栄進、栂裕太、佐々木志剛
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-08
    • Related Report
      2014 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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