Kinetic approach to nonequilibrium statistical mechanics

• Project/Area Number: 18540371
• 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: Kyoto University
• Principal Investigator: HAYAKAWA Hisao Kyoto University, 基礎物理学研究所, 教授 (90222223)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,420,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥420,000); Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2006: ¥1,600,000 (Direct Cost: ¥1,600,000)
• Keywords: 運動論 / 相関 / 粉体 / 衝突 / ジャミング / ガラス転移 / 液体論 / ジャミング転移 / せん断 / 長距離相関 / 反発係数 / ナノクラスター / ロングタイムテール / モード結合理論 / 速度相関 / 揺動散逸定理 / レオロジー / 弾性体 / はねかえり係数 / ASEP

Research Abstract

非平衡系の統計力学を運動論的方程式から解析し、特にモード結合理論をせん断粉体系に適用して時間相関関数のロングタイムテールがどのように変化するのか、同時刻長距離相関がどうなるかを明らかにした。更に揺動散逸関係式を充たす場の理論を液体系に適用し、モード結合理論の基礎付けを行った。またせん断粉体系のジャミング転移の臨界指数を明らかにした。またナノクラスターの衝突では熱揺らぎの重要性を明らかにし、その結果反発係数が1を超えることがあることを明示した。

Research Products

• [Journal Article] Simulation of cohesive head-on collisions of thermally activated nanoclusters, Phys (2009)
  • Author(s): Hiroto Kuninaka,and Hisao Hayakawa
  • Journal Title: Rev E79 Pages: 1-9
  • Peer Reviewed
• [Journal Article] Universal Scaling for the Jamming Transition, Prog (2009)
  • Author(s): Michio Otsuki,and Hisao Hayakawa
  • Journal Title: Theor. Phys 121 Pages: 647-655
  • Peer Reviewed
• [Journal Article] Spatial correlations in sheared isothermal liquids: From elastic particles to granular particles (2009)
  • Author(s): Michio Otsuki,and Hisao Hayakawa
  • Journal Title: Phys. Rev. E79, 021502 Pages: 1-16
  • Peer Reviewed
• [Journal Article] Are There Long-Time Tails in Granular Flows- (2009)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Journal Title: Progress of Theoretical Physics, Supplement 178 Pages: 49-54
  • NAID: 110007225701
  • Peer Reviewed
• [Journal Article] Time Correlation Function of the Shear Stress in Sheared Particle Systems (2009)
  • Author(s): Michio Otsuki,and Hisao Hayakawa
  • Journal Title: Progress of Theoretical Physics, Supplement 178 Pages: 56-63
  • NAID: 110007225700
  • Peer Reviewed
• [Journal Article] Super-Elastic Collisions in a Thermally Activated System (2009)
  • Author(s): Hiroto Kuninaka,and Hisao Hayakawa
  • Journal Title: Progress of Theoretical Physics, Supplement 178 Pages: 157-162
  • NAID: 110007225677
  • Peer Reviewed
• [Journal Article] Long-range correlation in sheared granular fluids (2009)
  • Author(s): Michio Otsuki, Hisao Hayakawa
  • Journal Title: Rarefied Gas Dynamics : Proceedings of 26th international symposium on rarefied gas dynamics, edited by T. Abe et al. (AIP Conf. Proc. 1084) 1 Pages: 57-62
  • Peer Reviewed
• [Journal Article] Are There Long-Time Tails in Granular Flows? (2009)
  • Author(s): Hisao Hayakawa, Michio Otsuki
  • Journal Title: Progress of Theoretical Physics Supplement 178 Pages: 49-55
  • NAID: 110007225701
  • Peer Reviewed
• [Journal Article] Time Correlation Function of the Shear Stress in Sheared Particle Systems (2009)
  • Author(s): Michio Otsuki, Hisao Hayakawa
  • Journal Title: Progress of Theoretical Physics Supplement 178 Pages: 56-63
  • NAID: 110007225700
  • Peer Reviewed
• [Journal Article] Super-Elastic Collisions in a Thermally Activated System (2009)
  • Author(s): Hiroto Kuninaka, Hisao Hayakawa
  • Journal Title: Progress of Theoretical Physics Supplement 178 Pages: 157-162
  • NAID: 110007225677
  • Peer Reviewed
• [Journal Article] Universal Scaling for the Jamming Transition (2009)
  • Author(s): Michio Otsuki, Hisao Hayakawa
  • Journal Title: Progress of Theoretical Physics 121 Pages: 647-655
  • NAID: 110007339336
  • Peer Reviewed
• [Journal Article] Spatial correlations in sheared isothermal liduids : From elastic particles to granular particles (2009)
  • Author(s): Michio Otsuki, Hisao Hayakawa
  • Journal Title: Physical Review E 79
  • Peer Reviewed
• [Journal Article] Simulation of cohesive head-on collisions of thermally activated nanoclusters (2009)
  • Author(s): Hiroto Kuninaka, Hisao Hayakawa
  • Journal Title: Physical Review E 79
  • Peer Reviewed
• [Journal Article] Fluctuation-dissipation-relation-preserving field theory of the glass transition in terms of fluctuating hydrodynamics (2008)
  • Author(s): Taka H. Nishino,and Hisao Hayakawa
  • Journal Title: Phys. Rev. E 78 Pages: 1-11
  • Peer Reviewed
• [Journal Article] Mode-Coupling Theory of Sheared Dense Granular Liquids, Prog (2008)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Journal Title: Theor. Phys 19 Pages: 381-402
  • Peer Reviewed
• [Journal Article] Fluetuation-dissipation-relation-preserving field theory of the glass transition in terms of fluctuating hydrodynamics (2008)
  • Author(s): Taka H. Nishino, Hisao Hayakawa
  • Journal Title: Physical Review E 78
  • Peer Reviewed
• [Journal Article] Super-elastic collisions in thermally activated nanoclusters (2008)
  • Author(s): Hisao Hayakawa, Hiroto Kuninaka
  • Journal Title: Proceedings of Advanced Problems in Mechanics 2008 1 Pages: 306-317
  • Peer Reviewed
• [Journal Article] Mode-coupling theory of sheared dense granular liquids (2008)
  • Author(s): Hisao Hayakawa and Michio Otsuki
  • Journal Title: Progress of Theoretical Physics 119 Pages: 381-402
  • NAID: 110006649436
  • Peer Reviewed
• [Journal Article] Long-time tails in freely cooling granular gases, Phys (2007)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Journal Title: Rev. E76 Pages: 1-14
  • Peer Reviewed
• [Journal Article] Rheology of a granular gas under a plane shear (2007)
  • Author(s): Kuniyasu Saitoh,and Hisao Hayakawa
  • Journal Title: Phys. Rev. E75 Pages: 1-11
  • Peer Reviewed
• [Journal Article] Long-time tails in freely cooling granular gases (2007)
  • Author(s): Hisao Hayakawa and Michio Otsuki
  • Journal Title: Physical Review E 76
  • Peer Reviewed
• [Journal Article] Rheology of a granular gas under a plane shear (2007)
  • Author(s): Kuniyasu Saitoh, Hisao Hayakawa
  • Journal Title: Physical Review E 75
• [Journal Article] The effect of detachment and attachment to a kink motion in the asymmetric simple exclusion process, J (2006)
  • Author(s): Tetsuya Mitsudo,and Hisao Hayakawa
  • Journal Title: Phys. A : Math. And Gen 39 Pages: 15073-15082
  • Peer Reviewed
• [Journal Article] Contact and Quasi-Static Impact of a Dissipationless Mechanical Model, J (2006)
  • Author(s): Hiroto Kuninaka,and Hisao Hayakawa
  • Journal Title: Phys. Soc. Jpn 75 Pages: 1-5
  • Peer Reviewed
• [Journal Article] Contact and Quasi-Static Impact of Hamilton System (2006)
  • Author(s): Hiroto Kuninaka, Hisao Hayakawa
  • Journal Title: Journal of the Physical Society of Japan 75
  • NAID: 110004777967
• [Journal Article] The effect of detachment and attachment to a kink motion in the asymmetric simple exclusion process (2006)
  • Author(s): Tetsuya Mitsudo, Hisao Hayakawa
  • Journal Title: Journal of Physics A : Mathematical and Theor et al. 39 Pages: 15073-15082
• [Journal Article] Nonequilibrium steady state in the vibrating granular gases (2006)
  • Author(s): Hisao Hayakawa, Atsushi Kawarada
  • Journal Title: Progress of Theoretical Physics : Supplement 161 Pages: 195-198
  • NAID: 110004729426
• [Journal Article] Super-elastic collisions of thermal activated nanoclusters
  • Author(s): Hisao Hayakawa,and Hiroto Kuninaka
  • Journal Title: in the Proceeding of the Summer School of Advanced Problems in Mechanics 2008 as an invited paper Pages: 306-317
  • Peer Reviewed
• [Presentation] 駆動粉体系の液体論とMCT (2009)
  • Author(s): 早川尚男、大槻道夫、鄭誠虎
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 於立教大学
  • Year and Date: 2009-03-28
• [Presentation] 駆動粉体系の液体論とMCT (2009)
  • Author(s): 早川尚男, 大槻道夫, 鄭誠虎
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-28
• [Presentation] Can we use mode-coupling theory for sheared granular fluids (2008)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Organizer: Unifying Concept in Glassy Physics 2008
  • Place of Presentation: 於京都芝蘭会館
  • Year and Date: 2008-11-26
• [Presentation] Can we use mode-coupling theory for sheared granularfl uids? (2008)
  • Author(s): Hisao Hayakawa, Michio Otsuki
  • Organizer: nifying Concept in Glassy Physics 2008
  • Place of Presentation: 京都芝蘭会館
  • Year and Date: 2008-11-26
• [Presentation] FDR preserving field theory of fluctuating hydrodynamics in describing glass transition (2008)
  • Author(s): Hisao Hayakawa,and Taka H. Nishino
  • Organizer: Japan-France Bilateral Joint Seminar 2008 "Frontiers of Glassy Physics"
  • Place of Presentation: 於京大基研
  • Year and Date: 2008-11-20
• [Presentation] FDR preserving field theory of fluctuating hydrodynamics in describing glass transition (2008)
  • Author(s): Hisao Hayakawa, Taka H. Nishino
  • Organizer: 日仏セミナー2009
  • Place of Presentation: 京大基研
  • Year and Date: 2008-11-20
• [Presentation] Spatial correlations in sheared moderate dense granular gases (2008)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Organizer: Granular Gas 2008
  • Place of Presentation: 於Schloss Thurnau
  • Year and Date: 2008-09-11
• [Presentation] Spatial correlations in sheared moderate dense granular gases (2008)
  • Author(s): Hisao Hayakawa, Michio Otsuki
  • Organizer: Granular Gas 2008
  • Place of Presentation: Schloss Thurnau
  • Year and Date: 2008-09-11
• [Presentation] Super-elastic collisions of thermally activated nanoclusters (2008)
  • Author(s): Hisao Hayakawa,and Hiroto Kuninaka
  • Organizer: International Summer School-Conference : Advanced Problems in Mechanics 2008
  • Place of Presentation: 於St. Petersburg
  • Year and Date: 2008-07-08
• [Presentation] Super-elastic collisions of thermally activated nanoclusters (2008)
  • Author(s): Hisao Hayakawa, Hiroto Kuninaka
  • Organizer: International Summer School-Conference : Advanced Problems in Mechanics 2008
  • Place of Presentation: St. Petersburg
  • Year and Date: 2008-07-08
• [Presentation] Mode-coupling theory of sheared densde granular liquids (2008)
  • Author(s): 早川尚男
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学
  • Year and Date: 2008-03-26
• [Presentation] The long-time tails in granular fluids (2007)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Organizer: 50th anniversary of the Alder transition
  • Place of Presentation: ウェルシティ金沢
  • Year and Date: 2007-11-29
• [Presentation] Universal description of jamming and glass transition (2007)
  • Author(s): Hisao Hayakawa
  • Organizer: Unified concepts in glass transition
  • Place of Presentation: 九州大学
  • Year and Date: 2007-11-23
• [Presentation] 自由冷却粉体ガスのロングタイムテール (2007)
  • Author(s): 早川尚男、大槻道夫
  • Organizer: 日本物理学第62回年次大会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-24
• [Presentation] The long-time tails in granular fluids (2007)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Organizer: STATPHYS23
  • Place of Presentation: Genova
  • Year and Date: 2007-07-12
• [Presentation] The long-time tails in granular fluids (2007)
  • Author(s): Hisao Hayakawa,and Michio Otsuki
  • Organizer: STATICS AND DYNAMICS OF GRANULAR MEDIA AND COLLOIDAL SUSPENSIONS
  • Place of Presentation: Naple
  • Year and Date: 2007-07-04
• [Presentation] 粉体ガスにおける剪断流と自由冷却の関係及び相関効果 (2007)
  • Author(s): 早川尚男
  • Organizer: 日本物理学会春期大会
  • Place of Presentation: 鹿児島大学
  • Year and Date: 2007-03-21
• [Presentation] 粉体ガス研究の現状と問題点 (2006)
  • Author(s): 早川尚男
  • Organizer: 粉体物理の現状と展望
  • Place of Presentation: 京大基研
  • Year and Date: 2006-12-25
• [Presentation] Kinetic Approach to the Rheology of Granular Fluids (2006)
  • Author(s): Hisao Hayakawa,and Kuniyasu Saitoh
  • Place of Presentation: 於国際高等研究所
  • Year and Date: 2006-10-26
• [Presentation] Rheology of a granular shear flow (2006)
  • Author(s): Hisao Hayakawa
  • Organizer: Tamura Symposium
  • Place of Presentation: 東京大学
  • Year and Date: 2006-05-23
• [Book] サイエンス社 (2007)
  • Author(s): 早川尚男
  • Total Pages: 159
  • Publisher: 非平衡統計力学
• [Book] 非平衡統計力学(臨時別冊・数理科学SGCライブラリ54) (2007)
  • Author(s): 早川 尚男
  • Total Pages: 163
  • Publisher: サイエンス社
• [Book] 複雑システム科学(9-11章,pp.137-177,pp.247-251) (2007)
  • Author(s): 生井澤寛(編)
  • Total Pages: 268
  • Publisher: 財団法人放送大学教育振興会
• [Book] 複雑システム科学(堂寺知成, 伏見譲, 早川尚男, 今田正俊)
  • Author(s): 生井澤寛
  • Total Pages: 268
  • Publisher: 財団法人放送大学教育振興会
• [Remarks] 報道関連情報:東京新聞、中日新聞2009年4月28日朝刊に記事。Science News (May 9th., vol.175, #10, p.13, 2009), Physical Review Focus (v23, st10, April3, 2009) , Nature Nanotechnology (vol.4, April 17, 2009)等で研究紹介記事が出た。
• [Remarks] Hisao Hayakawa, JPSJ News and Comments42(2008)でNew Scaling Laws for the Jamming Transitionを著し、T. Hatano: J. Phys. Soc. Jpn. 77 (2008) 123002.の紹介を行った。また物理学会誌に書評、学会関係等の記事をこの3年で多数著す。
• [Remarks] 日本物理学会理事(2006年9月から2008年8月)に就任、特に大会担当理事、領域委員会委員長として物理学会の運営を担い、物理学会若手奨励賞の設立、レビューセッションの設置等、各種新機軸を出した。2008年アメリカ物理学会(ニュー・オーリーンズ)にも参加し、日本物理学会の活動の広報に務めた。
• [Remarks] 学術誌Progress of Theoretical Physicsのエディター兼理論物理学刊行会理事(2008年4月より)として学術論文誌の運営の一翼を担う。PTPのインパクトファクターについての文章を物理学会誌に著す。
• [Remarks] 国際会議:Japan-France Bilateral Joint Seminar 2008 "Frontiers of Glassy Physics" (Nov. 19-22, 2008), 於京大基研を主催する。他に国内研究会「粉体物理の原状と展望」(於京大基研)も主催して研究者の便宜を図る。また2006年物理学会でシンポジウム「レオロジー研究の新展開」を企画する。(「はじめに」を講演)。更に日本物理学界第64回年回(2009年3月)においてもシンポジウム「ジャミング転移」を企画、立案して研究者への便宜を図った。
• [Remarks] 研究に関連した日本語の解説として、日本物理学会誌61巻428 (2006) 「マクロ物体の非弾性衝突-はねかえり係数には危険が一杯-」がある。
• [Remarks]
  • URL: http://www2.yukawa.kyoto-u.ac.jp/~hisao/