Response theory and dynamical many body correlations for non-equilibrium transport in dense granular dynamics

• Project/Area Number: 23740293
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Nagoya Institute of Technology
• Principal Investigator: ISOBE Masaharu 名古屋工業大学, 工学(系)研究科(研究院), 助教 (80359760)
• Project Period (FY): 2011 – 2013
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000); Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
• Keywords: 粉体気体 / 非平衡輸送現象 / 応答理論 / 分子動力学法 / 動的多体相関 / 国際情報交換（フランス） / 国際情報交換（米国） / 国際研究者交流（米国）

Research Abstract

In this project, we investigated several non-equilibrium phenomena of the granular dynamics by using Event-Driven Molecular Dynamics (EDMD) algorithm and developed useful methods especially for the dense hard core systems. We have investigated the following topics; (i) Granular Turbulence from the viewpoint of Micro-scale Reynolds Number and Cluster Impact in Freely Evolving Granular Gas; (ii) Fluctuation-Dissipation Relations for Motions of Center of Mass in Driven Granular Fluid under Gravity; (iii) Generalized Bond Order Parameter to Characterize Transient Crystals; and (iv) Hard Disks Equation of State: First-Order Liquid-Hexatic Transition in Two Dimensions with Three Different Simulation Methods.

Research Products

• [Journal Article] Hard Disk Equation of State : First-Order Liquid-Hexatic Transition in Two Dimensions with Three Different Simulation Methods (2013)
  • Author(s): M. Engel, J. A. Anderson, S. C. Glotzer, M. Isobe, E. P. Bernard and W. Krauth
  • Journal Title: Phys. Rev. E Volume: 87
  • Peer Reviewed
• [Journal Article] カリフォルニア大学バークレー校滞在記 (2013)
  • Author(s): 礒部雅晴
  • Journal Title: 分子シミュレーション研究会会誌「アンサンブル」 Volume: 15 Pages: 250-260
• [Journal Article] 高密剛体球系における遅い緩和の起源 : トランジェントな結晶化と高次秩序変数-2つの新しい方法論- (2013)
  • Author(s): 礒部雅晴
  • Journal Title: 分子シミュレーション研究会会誌「アンサンブル」 Volume: 15 Pages: 186-196
  • NAID: 130004964858
• [Journal Article] Hard disks equation of state: first-order liquid-hexatic transition in two dimensions with three different simulation methods (2013)
  • Author(s): Michael Engel, Joshua A. Anderson, Sharon C. Glotzer, Masaharu Isobe, Etienne P. Bernard and Werner Krauth
  • Journal Title: Physical Review E Volume: 87 Issue: 4
  • DOI: 10.1103/physreve.87.042134
  • Peer Reviewed
• [Journal Article] 高密剛体球系における遅い緩和の起源：トランジェントな結晶化と高次秩序変数－2つの新しい方法論－ (2013)
  • Author(s): 礒部雅晴
  • Journal Title: アンサンブル（分子シミュレーション研究会会誌） Volume: 15 Pages: 186-196
  • NAID: 130004964858
• [Journal Article] カリフォルニア大学バークレー校滞在記 (2013)
  • Author(s): 礒部雅晴
  • Journal Title: アンサンブル（分子シミュレーション研究会会誌） Volume: 15 Pages: 250-260
• [Journal Article] Statistical Law of Turbulence in Granular Gas (2012)
  • Author(s): M. Isobe
  • Journal Title: Journal of Physics : Conference Series Volume: 402
  • Peer Reviewed
• [Journal Article] Generalized Bond Order Parameter to Characterize Transient Crystals (2012)
  • Author(s): M. Isobe and B. J. Alder
  • Journal Title: The Journal of Chemical Physics Volume: 137 Issue: 19
  • DOI: 10.1063/1.4767061
  • Peer Reviewed
• [Journal Article] Fluctuation-Dissipation Relations for Motions of Center of Mass in Driven Granular Fluids under Gravity (2012)
  • Author(s): J. Wakou and M. Isobe
  • Journal Title: Physical Review E Volume: 85
  • Peer Reviewed
• [Journal Article] Granular Turbulence in Two Dimensions---Microscale Reynolds Number and Final Condensed States--- (2012)
  • Author(s): Masaharu Isobe
  • Journal Title: International Journal of Modern Physics C Volume: 23 Issue: 04 Pages: 1250032-1250032
  • DOI: 10.1142/s0129183112500325
  • Peer Reviewed
• [Journal Article] Ecole Normale Superieure, Paris 滞在記 (2012)
  • Author(s): 礒部雅晴
  • Journal Title: 分子シミュレーション研究会会誌「アンサンブル」 Volume: 14 Pages: 162-167
  • NAID: 40019431577
• [Journal Article] Fluctuation-Dissipation Relations for Motions of Center of Mass in Driven Granular Fluids under Gravity (2012)
  • Author(s): Junichi Wakou and Masaharu Isobe
  • Journal Title: Physical Review E Volume: 85 Issue: 6
  • DOI: 10.1103/physreve.85.061311
  • Peer Reviewed
• [Journal Article] Statistical Law of Turbulence in Granular Gas (2012)
  • Author(s): Masaharu Isobe
  • Journal Title: Journal of Physics: Conference Series Volume: 402 Pages: 012041-012041
  • DOI: 10.1088/1742-6596/402/1/012041
  • Peer Reviewed
• [Journal Article] Ecole Normale Superieure, Paris滞在記 (2012)
  • Author(s): 礒部雅晴
  • Journal Title: アンサンブル : 分子シミュレーション研究会会誌 Volume: 14 Pages: 162-167
  • NAID: 40019431577
• [Journal Article] 2次元粉体乱流の相対拡散と統計則 (2011)
  • Author(s): 礒部雅晴
  • Journal Title: 物性研究 Volume: 96 Pages: 123-124
• [Journal Article] ２次元粉体乱流の相対拡散と統計則 (2011)
  • Author(s): 礒部雅晴
  • Journal Title: 物性研究 Volume: 96巻 Pages: 123-124
• [Presentation] Dynamic Facilitation and Non-equilibirum Transition in an Atomistic Model of Binary Hard Disk Systems (2014)
  • Author(s): M. Isobe and D. Chandler
  • Organizer: 2014 Mini Stat. Mech. Meeting
  • Place of Presentation: Dept. of Chemistry, U. C. Berkeley, USA
• [Presentation] Dynamic facilitation and non-equilibrium phase transition in an atomistic model of binary hard disk systems (2014)
  • Author(s): Masaharu Isobe and David Chandler
  • Organizer: 2014 Mini Stat Mech Meeting
  • Place of Presentation: U.C.Berkeley, CA, USA
• [Presentation] Hard Disks Equation of State : First-Order Liquid-Hexatic Transition in Two Dimensions with Three Different Simulation Methods (2013)
  • Author(s): M. Engel, J. A. Anderson, S. C. Glotzer, M. Isobe, E. P. Bernard and W. Krauth
  • Organizer: 2013 AlChE Annual Meeting
  • Place of Presentation: San Francisco, CA, USA
• [Presentation] カリフォルニア大学バークレー校滞在記-剛体球系の最近の発展、時空アンサンブル法の紹介- (2013)
  • Author(s): 礒部雅晴
  • Organizer: 第4回計算統計物理学研究会
  • Place of Presentation: 山口大学 : 宇部市
  • Invited
• [Presentation] 2次元剛体球系の融解現象 : 3つの独立な手法による大規模数値シミュレーション (2013)
  • Author(s): M. Engel, J. A. Anderson, S. C. Glotzer, 礒部雅晴, E. P. Bernard, W. Krauth
  • Organizer: 日本物理学会2013年秋季大会
  • Place of Presentation: 徳島大学 : 徳島
• [Presentation] Cluster Impact and Shock Wave Propagation in Freely Evolving Granular Gas (2013)
  • Author(s): M. Isobe
  • Organizer: STATPHYS25
  • Place of Presentation: Seoul National University, Korea
• [Presentation] Hard Disks Equation of State : First-Order Liquid-Hexatic Transition in Two Dimensions with Three Different Simulation Methods (2013)
  • Author(s): J. A. Anderson, M. Engel, S. C. Glotzer, M. Isobe, E. P. Bernard and W. Krauth
  • Organizer: APS March Meeting
  • Place of Presentation: Baltimore, MD, USA
• [Presentation] Generalized Order Parameter for Establishing Transient Crystals (2013)
  • Author(s): M. Isobe and B. J. Alder
  • Organizer: APS March Meeting
  • Place of Presentation: Baltimore, MD, USA
• [Presentation] Generalized Order Parameter for Establishing Transient Crystals (2013)
  • Author(s): M. Isobe and B. J. Alder
  • Organizer: 2013 Mini Stat. Mech. Meeting
  • Place of Presentation: Dept. of Chemistry, U. C. Berkeley, USA
• [Presentation] ２次元剛体球系の融解現象：３つの独立な手法による大規模数値シミュレーション (2013)
  • Author(s): M.Engel、J.A. Anderson、S.C.Glotzer、礒部雅晴, E.P.Bernard, W.Krauth
  • Organizer: 日本物理学会2013年秋季大会
  • Place of Presentation: 徳島大学：徳島市
• [Presentation] カリフォルニア大学バークレー校滞在記－剛体球系の最近の発展、時空アンサンブル法の紹介－ (2013)
  • Author(s): 礒部雅晴
  • Organizer: 第４回計算統計物理学研究会
  • Place of Presentation: 山口大学：宇部市
  • Invited
• [Presentation] Hard disks equation of state: first-order liquid-hexatic transition in two dimensions with three different simulation methods (2013)
  • Author(s): Michael Engel, Joshua A. Anderson, Sharon C. Glotzer, Masaharu Isobe, Etienne P. Bernard and Werner Krauth
  • Organizer: 2013 AIChE Annual Meeting
  • Place of Presentation: San Fransisco, CA, USA
• [Presentation] Generalized Order Parameters to Characterize Transient Crystals (2013)
  • Author(s): Masaharu Isobe and Berni J. Alder
  • Organizer: 2013 Mini Stat Mech Meeting
  • Place of Presentation: Dept. of Chemistry, U.C.Berkeley, USA
• [Presentation] Generalized Order Parameters to Characterize Transient Crystals (2013)
  • Author(s): Masaharu Isobe and Berni J. Alder
  • Organizer: APS March Meeting
  • Place of Presentation: Baltimore, MD, USA
• [Presentation] Hard Disks Equation of State: First-Order Liquid-Hexatic Transition in Two Dimensions with Three Different Simulation Methods (2013)
  • Author(s): Joshua A. Anderson, Michael Engel, Sharon C. Glotzer, Masaharu Isobe, Etienne P. Bernard and Werner Krauth
  • Organizer: APS March Meeting
  • Place of Presentation: Baltimore, MD, USA
• [Presentation] Molecular Simulation in the Non-Equilibrium Statistical Physics -Event-Driven Molecular Dynamics and its Applications- (2012)
  • Author(s): M. Isobe
  • Organizer: Seminar at Prof. Glotzer's Group
  • Place of Presentation: Univ. of Michigan, Ann. Arbor, USA
  • Year and Date: 2012-09-28
  • Invited
• [Presentation] Higher Order Parameter for Establishing Transient Crystals (2012)
  • Author(s): M. Isobe
  • Organizer: Seminar at Prof. Chandler's Group
  • Place of Presentation: Dept. of Chemistry, U. C. Berkeley, USA
  • Year and Date: 2012-09-06
  • Invited
• [Presentation] Higher Order Parameter for Establishing Transient Crystals (2012)
  • Author(s): M. Isobe
  • Organizer: Seminar of Theory and Simulation
  • Place of Presentation: Laboratoire Charles Coulomb, Universite de Montpellier II, Montpellier, France
  • Year and Date: 2012-03-16
  • Invited
• [Presentation] Higher Order Parameter for Establishing Transient Crystals (2012)
  • Author(s): M. Isobe
  • Organizer: Seminar of Statistical Physics of Complex Systems
  • Place of Presentation: Laboratoire de Physique Theorique, Univ. Paris-Sud 11, Orsay, France
  • Year and Date: 2012-03-08
  • Invited
• [Presentation] Higher Order Parameters for Establishing Transient Crystals (2012)
  • Author(s): Masaharu Isobe
  • Organizer: Seminars of Statistical Physics of Complex Systems(招待講演)
  • Place of Presentation: Laboratoire de Physique Theorique, Univ. Paris-Sud 11, Orsay, France
• [Presentation] Higher Order Parameters for Establishing Transient Crystals (2012)
  • Author(s): Masaharu Isobe
  • Organizer: Seminar of Theory and Simulation(招待講演)
  • Place of Presentation: Laboratoire Charles Coulomb, Universite de Montpellier II, Montpellier, France
• [Presentation] Higher Order Parameter for Establishing Transient Crystals (2011)
  • Author(s): M. Isobe and B. J. Alder
  • Organizer: Unifying concepts in glass physics V
  • Place of Presentation: Institut Henri Poincare, Paris, France
  • Year and Date: 2011-12-13
• [Presentation] 高密剛体球系における遅い緩和の起源 : トランジェントな結晶化と高次秩序変数 (2011)
  • Author(s): 礒部雅晴, Berni J. Alder
  • Organizer: 第25回分子シミュレーション討論会
  • Place of Presentation: 東京工業大学:東京
  • Year and Date: 2011-12-06
• [Presentation] Molecular Simulation in the Non-Equilibrium Statistical Physics -Event-Driven Molecular Dynamics and its Applications- (2011)
  • Author(s): M. Isobe
  • Organizer: ノースカロライナ大学物理学科セミナー
  • Place of Presentation: Charlotte, TN, USA
  • Year and Date: 2011-11-04
  • Invited
• [Presentation] Statistical Law of Turbulence in Granular Gas (2011)
  • Author(s): M. Isobe
  • Organizer: Conference on Computational Physics 2011
  • Place of Presentation: Gatlinburg, TN, USA
  • Year and Date: 2011-10-31
• [Presentation] 高密剛体球系における遅い緩和の起源 : トランジェントな結晶化と高次秩序変数 (2011)
  • Author(s): 礒部雅晴, Berni J. Alder
  • Organizer: 日本物理学会 2011年秋季大会
  • Place of Presentation: 富山大学 : 富山
  • Year and Date: 2011-09-23
• [Presentation] Higher Order Parameter for Establishing Transient Crystals (2011)
  • Author(s): M. Isobe and B. J. Alder
  • Organizer: 8th Liquid Matter Conference
  • Place of Presentation: Wien, Austria
  • Year and Date: 2011-09-08
• [Presentation] 鉛直加神された粉体気体系における重心運動 (2011)
  • Author(s): 若生潤一, 礒部雅晴
  • Organizer: 基研研究会2011 非平衡系の物理-ミクロとマクロのかけ橋
  • Place of Presentation: 京都大学基礎物理学研究所 : 京都
  • Year and Date: 2011-08-19
• [Presentation] 鉛直加振された粉体気体系における重心運動 (2011)
  • Author(s): 若生潤一、礒部雅晴
  • Organizer: 基研研究会2011 非平衡系の物理－ミクロとマクロのかけ橋
  • Place of Presentation: 京都大学基礎物理学研究所（京都市）
• [Presentation] 高密剛体球系における遅い緩和の起源：トランジェントな結晶化と高次秩序変数 (2011)
  • Author(s): 礒部雅晴、B. J. Alder
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山大学（富山市）
• [Presentation] 高密剛体球系における遅い緩和の起源：トランジェントな結晶化と高次秩序変数 (2011)
  • Author(s): 礒部雅晴、Berni J. Alder
  • Organizer: 第25回分子シミュレーション討論会
  • Place of Presentation: 東京工業大学（東京都）
• [Presentation] Molecular Simulation in the Non-Equilibirum Statistical Physics --Event-Driven Molecular Dynamics and its Applications-- (2011)
  • Author(s): Masaharu Isobe
  • Organizer: ノースカロライナ大学物理学科セミナー(招待講演)
  • Place of Presentation: Charlotte, TN, USA
• [Presentation] Higher Order Parameters to Characterize Transient Crystals
  • Author(s): Masaharu Isobe
  • Organizer: Seminar at Prof. Chandler's Group
  • Place of Presentation: Dept. of Chemistry, U.C.Berkeley, USA
  • Invited
• [Presentation] Molecular Simulation in the Non-Equilibirum Systems --Event-Driven Molecular Dynamics and its Applications--
  • Author(s): Masaharu Isobe
  • Organizer: Seminar at Prof. Glotzer's Group
  • Place of Presentation: Univ. of Michigan, Ann Arbor, USA
  • Invited
• [Remarks] 【4. 研究成果(4)に関して】 フランス国立科学センタープレスリリース ホームページ等
  • URL: http://www.cnrs.fr/inp/spip.php?article1799
• [Remarks] 研究代表者ホームページ ホームページ等
  • URL: http://stat.fm.nitech.ac.jp/~isobe
• [Remarks] 2次元剛体球系の融解現象：50年にわたる古いパズルの解明
  • URL: http://stat.fm.nitech.ac.jp/~isobe/2D_melting_Japanese.htm