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Dynamics and thermodynamics in non-additive systems

Research Project

Project/Area Number 23560069
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

YAMAGUCHI Yoshiyuki  京都大学, 情報学研究科, 助教 (40314257)

Project Period (FY) 2011-04-28 – 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 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords非相加系 / 長距離相互作用 / 準定常状態 / 応答理論 / 臨界指数 / ランダウ減衰 / 運動論 / 臨界現象 / 国際情報交換 / フランス / パターン形成 / 熱浴 / フランス:イタリア / 線形応答理論 / フランス:イタリア / 非相加性 / 非平衡統計力学
Outline of Final Research Achievements

Long-range interactions, which can be found in gravitating systems and electromagnetic systems for instance, break the additivity assumption of thermodynamics and statistical mechanics. In the non-additive systems, dynamics also shows a charcteristic phenomenon of trapping at a so-called quasi-stationary state. This project has pointed out that the quasi-stationary state is realized due to existence of conserved quantities which appear in the non-additive systems. We have revealed that the existence of conserved quantities changes the values of some critical exponents. Moreover, some problems of dynamics have been solved under an extended setting, which brings theoretical difficulty comparing with the previous setting.

Report

(7 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (36 results)

All 2016 2015 2014 2013 2012 2011 Other

All Int'l Joint Research (3 results) Journal Article (16 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 16 results,  Open Access: 9 results,  Acknowledgement Compliant: 9 results) Presentation (13 results) (of which Int'l Joint Research: 3 results,  Invited: 5 results) Remarks (4 results)

  • [Int'l Joint Research] Universite de Nice-Sophia Antipolis(フランス)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Universite de Nice Sophia-Antipolis(フランス)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] Imperial College London(英国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Trapping scaling for bifurcations in the Vlasov systems2016

    • Author(s)
      Julien BARRE, David METIVIER and Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Physical Review E

      Volume: 93 Issue: 4

    • DOI

      10.1103/physreve.93.042207

    • NAID

      120005745642

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Strange scaling and relaxation of finite-size fluctuation in thermal equilibrium2016

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 1

    • DOI

      10.1103/physreve.94.012133

    • NAID

      120005822763

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonstandard transitions in the Kuramoto model: a role of asymmetry in natural frequency distributions2016

    • Author(s)
      Yu Terada, Keigo Ito, Toshio Aoyagi and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment: Theory and Experiment

      Volume: 13403 Issue: 1 Pages: 13403-13403

    • DOI

      10.1088/1742-5468/aa53f6

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Landau-like theory for universality of critical exponents in quasistationary states of isolated mean-field systems2015

    • Author(s)
      Shun OGAWA and Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Physical Review E

      Volume: 91 Issue: 6

    • DOI

      10.1103/physreve.91.062108

    • NAID

      120005649320

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation - Case of an attractive cosine potential2015

    • Author(s)
      Julien BARRE and Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Journal of Mathematical Physics

      Volume: 56 Issue: 8

    • DOI

      10.1063/1.4927689

    • NAID

      120005676658

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Nondiagonalizable and nondivergent susceptibility tensor in the Hamiltonian mean-field model with asymmetric momentum distributions2015

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Physical Review E

      Volume: 92 Issue: 3

    • DOI

      10.1103/physreve.92.032109

    • NAID

      120005656532

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Conditions for predicting quasistationary states by rearrangement formula2015

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI and Shun OGAWA
    • Journal Title

      Physical Review E

      Volume: 92 Issue: 4

    • DOI

      10.1103/physreve.92.042131

    • NAID

      120005663250

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonlinear response for external field and perturbation in the Vlasov system2014

    • Author(s)
      Shun Ogawa and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 5

    • DOI

      10.1103/physreve.89.052114

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Dynamical pattern formation in two-dimensional fluids and Landau pole bifurcation2014

    • Author(s)
      Shun Ogawa, Julien Barre, Hidetoshi Morita, and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 6

    • DOI

      10.1103/physreve.89.063007

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Non-mean-field critical exponent in a mean field model ; Dynamics versus statistical mechanics2014

    • Author(s)
      Shun Ogawa, Aurelio Patelli Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 3

    • DOI

      10.1103/physreve.89.032131

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Absence of thermalization for systems with long-range interactions coupled to a thermal bath2013

    • Author(s)
      Pierre DE BUYL, Giovanni DE NINNO, Duccio FANELLI, Cesare NARDINI, Aurelio PATELLI, Francesco PIAZZA and Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Physical Review E

      Volume: 87 Issue: 4

    • DOI

      10.1103/physreve.87.042110

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces2013

    • Author(s)
      Julien BARRE and Yoshiyuki Y. YAMAGUCHI
    • Journal Title

      Journal of Physics A

      Volume: 46 Issue: 22 Pages: 225501-225501

    • DOI

      10.1088/1751-8113/46/22/225501

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Linear response theory in the Vlasov equation for homogeneous and for inhomogeneous quasistationary states2012

    • Author(s)
      Shun Ogawa and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E

      Volume: 85 Issue: 6

    • DOI

      10.1103/physreve.85.061115

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Construction of traveling clusters in the Hamiltonian mean-field model by nonequilibrium statistical mechanics and Bernstein-Greene-Kruskal waves2011

    • Author(s)
      Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E

      Volume: 84 Issue: 1

    • DOI

      10.1103/physreve.84.016211

    • NAID

      120005676689

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Algebraic damping in the one-dimensional Vlasov equation2011

    • Author(s)
      Julien Barre, Alain Olivetti and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Journal of Physics A

      Volume: 44 Issue: 40 Pages: 405502-405502

    • DOI

      10.1088/1751-8113/44/40/405502

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Precise determination of the nonequilibrium tricritical point based on Lynden-Bell theory in the Hamiltonian mean-field model2011

    • Author(s)
      Shun Ogawa and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Physical Review E

      Volume: 84 Issue: 6

    • DOI

      10.1103/physreve.84.061140

    • NAID

      120003779177

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 長距離相互作用系の有限サイズゆらぎ2016

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学泉キャンパス(宮城県、仙台市)
    • Year and Date
      2016-03-20
    • Related Report
      2015 Research-status Report
  • [Presentation] Relaxation of finite-size fluctuation in thermal equilibrium2016

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Organizer
      Conference on Long-Range-Interacting Many Body Systems: from Atomic to Astrophysical Scales
    • Place of Presentation
      International Centre for Theoretical Physics, Trieste (Italy)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Relaxation of finite-size fluctuation in thermal equilibrium2016

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Organizer
      Interdisciplinary Applications of Nonlinear Science
    • Place of Presentation
      鹿児島大学 (鹿児島県、鹿児島市)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Relaxation of finite-size fluctuation in thermal equilibrium2016

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Organizer
      9th Dynamics Days Asia Pacific (DDAP9)
    • Place of Presentation
      Hong Kong Baptist University (Hong Kong)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 古典平均場系の特殊性と応用可能性2015

    • Author(s)
      山口義幸
    • Organizer
      大自由度分子系における化学反応機序の理解と制御
    • Place of Presentation
      北海道大学札幌キャンパス(北海道、札幌市)
    • Year and Date
      2015-10-31
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Response and critical exponents in Vlasov systems2015

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Organizer
      Workshop on dynamical systems and computation 2015
    • Place of Presentation
      北海道大学札幌キャンパス
    • Year and Date
      2015-03-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 平均場ダイナミクスにおける非線形応答と非平均場的臨界指数2014

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学春日井キャンパス
    • Year and Date
      2014-09-07
    • Related Report
      2014 Research-status Report
  • [Presentation] Nonlinear response theory in long-range Hamiltonian systems2014

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Organizer
      Workshop on Advances in Nonequilibrium Statistical Mechanics: large deviations and long-range correlations, extreme value statistics, anomalous transport and long-range interactions
    • Place of Presentation
      The Galileo Galilei Institute for Theoretical Physics, ITALY
    • Year and Date
      2014-05-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Vlasov方程式における線形応答理論と相転移2011

    • Author(s)
      山口義幸、小川駿
    • Organizer
      日本物理学会
    • Place of Presentation
      富山県富山大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 空間非一様安定定常状態まわりの摂動の代数的減衰

    • Author(s)
      山口義幸
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Vlasov approach to many-body Hamiltonian dynamics

    • Author(s)
      Yoshiyuki Y. YAMAGUCHI
    • Organizer
      Workshop on Lagrangian Coherent Structures and Dynamical Systems
    • Place of Presentation
      Hokkaido University
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 多体ハミルトン系における一様状態と非一様状態

    • Author(s)
      山口義幸
    • Organizer
      研究集会「力学系・振動子系・非一様性」
    • Place of Presentation
      I-siteなんば
    • Related Report
      2013 Research-status Report
  • [Presentation] Linear response theory in one-dimensional Vlasov systems

    • Author(s)
      Yoshiyuki Y. Yamaguchi
    • Organizer
      CECAM Workshop : Equilibrium and out-of-equilibrium properties of systems with long-range interactions
    • Place of Presentation
      ENS-Lyon, France
    • Related Report
      2012 Research-status Report
    • Invited
  • [Remarks] Home Page of Yoshiyuki YAMAGUCHI

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/

    • Related Report
      2016 Annual Research Report 2015 Research-status Report 2014 Research-status Report
  • [Remarks] Home Page of Yoshiyuki YAMAGUCHI

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/

    • Related Report
      2013 Research-status Report
  • [Remarks] Home Page of Yoshiyuki YAMAGUCHI

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/

    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://yang.amp.i.kyoto-u.ac.jp/~yyama/

    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2022-02-03  

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