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Thermodynamic framework of non-equilibrium fluctuations

Planned Research

Project AreaSynergy of Fluctuation and Structure:Foundation of Universal Laws in Nonequilibrium Systems
Project/Area Number 25103002
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionKyoto University

Principal Investigator

Sasa Shin-ichi  京都大学, 理学研究科, 教授 (30235238)

Co-Investigator(Kenkyū-buntansha) 中川 尚子  茨城大学, 理学部, 教授 (60311586)
Project Period (FY) 2013-06-28 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥34,710,000 (Direct Cost: ¥26,700,000、Indirect Cost: ¥8,010,000)
Fiscal Year 2017: ¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
Fiscal Year 2016: ¥7,800,000 (Direct Cost: ¥6,000,000、Indirect Cost: ¥1,800,000)
Fiscal Year 2015: ¥7,670,000 (Direct Cost: ¥5,900,000、Indirect Cost: ¥1,770,000)
Fiscal Year 2014: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords熱力学 / ゆらぎ / 非平衡 / エントロピー / 統計力学 / 統計物理 / 構造 / 流体力学 / 流体
Outline of Final Research Achievements

First, by extending the thermodynamics to non-equilibrium states, we predicted that super-cooled gas stabilizes in gas-liquid transition under heat conduction as a new phenomenon which cannot be described by any conventional theory. Second, we pioneered a methodology to connect micro dynamics and macro dynamics, such as deriving Navier-Stokes equations from the world of microscopic fluctuations. Thirdly, we analyzed time series analysis based on thermodynamics concept, formulated the phenomenon of replica symmetry breaking in the time series, and proposed a new method of rare event sampling. Fourth, it was revealed that singularities of time average fluctuation occur universally based on a thermodynamic framework. Finally, we formulated the entropy as a Noether invariant and found a new aspect of entropy.

Report

(6 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • Research Products

    (65 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (3 results) Journal Article (23 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 22 results,  Acknowledgement Compliant: 12 results,  Open Access: 2 results) Presentation (37 results) (of which Int'l Joint Research: 11 results,  Invited: 21 results) Remarks (2 results)

  • [Int'l Joint Research] Queen Mary University of London(United Kingdom)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Beijing CRC/Tsinghua University(China)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Harvard Medical School(米国)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Liquid-Gas Transitions in Steady Heat Conduction2017

    • Author(s)
      Naoko Nakagawa and Shin-ichi Sasa
    • Journal Title

      Physical Review Letters

      Volume: 119 Issue: 26

    • DOI

      10.1103/physrevlett.119.260602

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 時間の対称性がつなぐミクロとマクロ2017

    • Author(s)
      佐々真一
    • Journal Title

      数理科学

      Volume: 649 Pages: 54-60

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Gaussian white noise as a resource for work extraction2017

    • Author(s)
      Andreas Dechant, Adrian Baule, and Shin-ichi Sasa
    • Journal Title

      Phys. Rev. E

      Volume: 95 Issue: 3

    • DOI

      10.1103/physreve.95.032132

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Replica symmetry breaking in trajectory space for the trap model2017

    • Author(s)
      Masahiko Ueda , Shin-ichi Sasa
    • Journal Title

      J. Phys. A : Math. Theor.

      Volume: 50 Issue: 12 Pages: 125001-125001

    • DOI

      10.1088/1751-8121/aa5d5e

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Universal Form of Stochastic Evolution for Slow Variables in Equilibrium Systems2017

    • Author(s)
      Masato Itami , Shin-ichi Sasa
    • Journal Title

      J. Stat. Phys.

      Volume: 167 Issue: 1 Pages: 46-63

    • DOI

      10.1007/s10955-017-1738-6

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Entropy Production of Nanosystems with Time Scale Separation2016

    • Author(s)
      Shou-Wen Wang, Kyogo Kawaguchi, Shin-ichi Sasa, and Lei-Han Tang
    • Journal Title

      Phys. Rev. Lett.

      Volume: 117 Issue: 7

    • DOI

      10.1103/physrevlett.117.070601

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Thermodynamic entropy as a Noether invariant2016

    • Author(s)
      S.-I. Sasa, Yuki Yokokura
    • Journal Title

      Phys. Rev. Lett

      Volume: 116 Issue: 14

    • DOI

      10.1103/physrevlett.116.140601

    • NAID

      120005758231

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Replica symmetry breaking in trajectories of a driven Brownian particle2015

    • Author(s)
      Masahiko Ueda, Shin-ichi Sasa
    • Journal Title

      Phys. Rev. Lett.

      Volume: 115 Issue: 8 Pages: 080605-080605

    • DOI

      10.1103/physrevlett.115.080605

    • NAID

      120005672553

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Derivation of Stokes’s law from Kirkwood’s formula and the Green-Kubo formula via large deviation theory2015

    • Author(s)
      Masato Itami, Shin-ichi Sasa
    • Journal Title

      J. Stat. Phys.

      Volume: 161 Issue: 3 Pages: 532-552

    • DOI

      10.1007/s10955-015-1349-z

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Collective dynamics from stochastic thermodynamics2015

    • Author(s)
      Shin-ichi Sasa
    • Journal Title

      New J. Phys.

      Volume: 17 Issue: 4 Pages: 045024-045024

    • DOI

      10.1088/1367-2630/17/4/045024

    • NAID

      120005758263

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonequilibrium Statistical Mechanics for Adiabatic Piston Problem2015

    • Author(s)
      Masato Itami , Shin-ichi Sasa
    • Journal Title

      J. Stat. Phys.

      Volume: 158(37) Issue: 1 Pages: 37-56

    • DOI

      10.1007/s10955-014-1115-7

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium Langevin equation and effective temperature for particle interacting with spatially extended environment2015

    • Author(s)
      T, Haga
    • Journal Title

      J. Stat. Phys.

      Volume: 159(3) Issue: 3 Pages: 713-729

    • DOI

      10.1007/s10955-015-1195-z

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Exact Equalities and Thermodynamic Relations for Nonequilibrium Steady States2015

    • Author(s)
      Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa, Hal Tasaki
    • Journal Title

      Journal of Statistical Physics

      Volume: 158 Issue: 6 Pages: 1195-1414

    • DOI

      10.1007/s10955-015-1221-1

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Macroscopically measurable force induced by temperature discontinuities at solid-gas interfaces2014

    • Author(s)
      Masato Itami and Shin-ichi Sasa
    • Journal Title

      Phys. Rev. E

      Volume: 89 Issue: 5

    • DOI

      10.1103/physreve.89.052106

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality2014

    • Author(s)
      Takahiro Nemoto, Vivien Lecomte, Shin-ichi Sasa and Frédéric van Wijland
    • Journal Title

      Journal of Statistical Mechanics

      Volume: P10001 Issue: 10 Pages: P10001-P10001

    • DOI

      10.1088/1742-5468/2014/10/p10001

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium dissipation-free transport in F1-ATPase and the thermodynamic role of asymmetric allosterism2014

    • Author(s)
      Kyogo Kawaguchi, Shin-ichi Sasa, and Takahiro Sagawa
    • Journal Title

      Biophysical Journal

      Volume: 106 Issue: 11 Pages: 2450-2457

    • DOI

      10.1016/j.bpj.2014.04.034

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Universal expression for adiabatic pumping in terms of nonequilibrium steady states2014

    • Author(s)
      Naoko Nakagawa
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 2

    • DOI

      10.1103/physreve.90.022108

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Possible extended forms of thermodynamic entropy2014

    • Author(s)
      Shin-ichi Sasa
    • Journal Title

      J. Stat.Mech.

      Volume: 2014 Issue: 1 Pages: P01004-P01004

    • DOI

      10.1088/1742-5468/2014/01/p01004

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Calculation of 1RSB transition temperature of spin glass models on regular random graphs under the replica symmetric ansatz2014

    • Author(s)
      Masahiko Ueda, Shin-ichi Sasa
    • Journal Title

      J. Stat.Mech.

      Volume: 2014 Issue: 2 Pages: P02005-P02005

    • DOI

      10.1088/1742-5468/2014/02/p02005

    • NAID

      120005625615

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computation of Large DeViation Statistics via Iterative Measurement-and-Feedback Procedure2014

    • Author(s)
      Takahiro Nemoto Shinichi Sasa
    • Journal Title

      Physical Review Letters

      Volume: 112 Issue: 9

    • DOI

      10.1103/physrevlett.112.090602

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Derivation of Hydrodynamics from the Hamiltonian Description of Particle Systems2014

    • Author(s)
      Shin-ichi Sasa
    • Journal Title

      Phys. Rev. Lett

      Volume: 112 Issue: 10

    • DOI

      10.1103/physrevlett.112.100602

    • NAID

      120005466628

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Jamming transition in kinetically constrained models with the parity symmetry2014

    • Author(s)
      Hiroki Ohta and Shin-ichi Sasa
    • Journal Title

      J. Stat. Phys

      Volume: 155 Issue: 5 Pages: 827-827

    • DOI

      10.1007/s10955-014-0978-y

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterization of the low-temperature properties of a simplified protein model2014

    • Author(s)
      Johannes-Geert Hagmann, Naoko Nakagawa, Michel Peyrard
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 1

    • DOI

      10.1103/physreve.89.012705

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Presentation] 熱伝導と気液転移が出会うとき 19世紀科学から21世紀科学への展開2018

    • Author(s)
      佐々真一
    • Organizer
      第15回京都大学福井謙一記念研究センターシンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] ゆらぎの理論と構造の理論2018

    • Author(s)
      佐々真一
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 熱伝導下気液転移への線形応答理論からのアプローチ2018

    • Author(s)
      佐々真一
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 平衡状態の特徴づけと熱力学第2法則2017

    • Author(s)
      S.-I.Sasa
    • Organizer
      日本物理学会春季大会
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Thermodynamic entropy as a Noether invariant2017

    • Author(s)
      S.-I.Sasa
    • Organizer
      The Berkeley Stat. Mech. Meeting
    • Place of Presentation
      カリフォルニア大学バークレー校
    • Year and Date
      2017-01-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A survey of achievements:Theory of fluctuation and structure2017

    • Author(s)
      佐々真一
    • Organizer
      ゆらぎと構造の協奏 第4回領域研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 多様なエントロピーのひろがりとつながり2017

    • Author(s)
      佐々真一
    • Organizer
      大阪大学理学研究科 第22回南部コロキウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Thermodynamic entropy as a Noether invariant2017

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      Frontiers of Quantum and Mesoscopic Thermodynamics 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 熱伝導下における気液相転移の大域熱力学32017

    • Author(s)
      佐々真一、中川尚子
    • Organizer
      日本物理学会2017秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Liquid-gas transitions in steady heat conduction2017

    • Author(s)
      Shin-ichi Sasa、Naoko Nakagawa
    • Organizer
      East Asia Seminars on Statistical Physics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Thermal pure state path integral and emergent symmetry2017

    • Author(s)
      佐々真一
    • Organizer
      日本大学 素粒子論セミナー講演
    • Related Report
      2017 Annual Research Report
  • [Presentation] Liquid-gas transitions in steady heat conduction2017

    • Author(s)
      Shin-ichi Sasa、Naoko Nakagawa
    • Organizer
      新学術国際会議 ゆらぎと構造の協奏2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Liquid-gas transitions in steady heat conduction2017

    • Author(s)
      佐々真一
    • Organizer
      大阪大学理学研究科 秋・冬学期集中講義
    • Related Report
      2017 Annual Research Report
  • [Presentation] Thermodynamic entropy as a Noether invariant2016

    • Author(s)
      S.-I.Sasa
    • Organizer
      9th Dynamics Days Asis Pacific
    • Place of Presentation
      香港浸会大学・香港科技大学
    • Year and Date
      2016-12-14
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ネーター不変量としての熱力学エントロピーⅡ2016

    • Author(s)
      S.-I.Sasa
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      金沢大学
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Thermodynamic entropy as a Noether invariant2016

    • Author(s)
      S.-I.Sasa
    • Organizer
      STATPHYS26
    • Place of Presentation
      リヨン・フランス
    • Year and Date
      2016-07-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Thermodynamic entropy as a Noether invariant2016

    • Author(s)
      S.-I.Sasa
    • Organizer
      The 7th KIAS Conference on Statistical Physics
    • Place of Presentation
      ソウル・韓国
    • Year and Date
      2016-07-04
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Synergy of Randomness and Symmetry2016

    • Author(s)
      S.-I. Sasa
    • Organizer
      ゆらぎと構造の協奏 第3回領域研究会
    • Place of Presentation
      九州大学
    • Year and Date
      2016-06-17
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Replica symmetry breaking of in trajectories of a driven Brownian particle2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      第3回統計物理に関する東アジアジョイントセミナー
    • Place of Presentation
      ソール、韓国
    • Year and Date
      2015-10-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Large deviation functions and fluctuation relations in nonequilibrium systems2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      6th Bangalore School on Statistical Physics (a joint ICTS-RRI program)
    • Place of Presentation
      The International Centre for Theoretical Sciences(ICTS) , India
    • Year and Date
      2015-07-06 – 2015-07-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Large deviation functions and fluctuation relations in non-equilibrium systems2015

    • Author(s)
      Shin-ichi Sasa,
    • Organizer
      統計物理に関する学校 IV
    • Place of Presentation
      バンガロール、インド
    • Year and Date
      2015-07-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-equilibrium statistical mechanics from large deviation theory2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      Statistical mechanics and computation of large deviation rate functions
    • Place of Presentation
      Centre Blaise Pascal, France
    • Year and Date
      2015-06-16 – 2015-06-19
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Non-equilibrium statistical mechanics from large deviation theory2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      統計力学と大偏差レート関数の計算に関する国際会議
    • Place of Presentation
      リヨン、フランス
    • Year and Date
      2015-06-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A fresh look at hydrodynamics2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      第113回統計力学に関する国際会議
    • Place of Presentation
      ラトガース、アメリカ
    • Year and Date
      2015-05-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A fresh look at hydrodynamics2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      113th Statistical Mechanics Conference
    • Place of Presentation
      Rutgers University, U.S.America
    • Year and Date
      2015-05-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Collective dynamics from non-equilibrium identies2015

    • Author(s)
      Shin-ichi Sasa
    • Organizer
      Kyoto Winter School
    • Place of Presentation
      Kyoto University
    • Year and Date
      2015-02-10 – 2015-02-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 小さなシステムのゆらぎと情報のダイナミクス2014

    • Author(s)
      佐々真一
    • Organizer
      西宮湯川記念科学セミナー
    • Place of Presentation
      西宮市フレンテホール, 兵庫県
    • Year and Date
      2014-12-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 可逆な力学世界における不可逆性の創発2014

    • Author(s)
      佐々真一
    • Organizer
      第8回物性科学領域横断研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2014-11-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Computation of large deviation statistics via iterative measurement-and-feedback prodecure2014

    • Author(s)
      Takahiro Nemoto, Shin-ichi Sasa
    • Organizer
      NITheP Workshop
    • Place of Presentation
      Stellenbosch University, South Africa
    • Year and Date
      2014-11-04
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Computation of Large Deviation Statistics via Iterative Measurement-and-Feedback Procedure2014

    • Author(s)
      Takahiro Nemoto, Shin-ichi Sasa
    • Organizer
      Workshop in YITP: Thermodynamics
    • Place of Presentation
      Kyoto University
    • Year and Date
      2014-09-17
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Computation of Large Deviation Statistics via Iterative Measurement-and-Feedback Procedure2014

    • Author(s)
      Takahiro Nemoto
    • Organizer
      Workshop:Glassy Systems and Constrained Stochastic Dynamics
    • Place of Presentation
      Warwick university,England
    • Year and Date
      2014-06-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Macroscopically measurable motion of heat-conducting solid2014

    • Author(s)
      Masato Itami
    • Organizer
      11th International Meeting on Thermodiffusion
    • Place of Presentation
      (Bayonne),France
    • Year and Date
      2014-06-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] 非平衡ゆらぎの普遍性と特異性

    • Author(s)
      佐々真一
    • Organizer
      日本物理学会第69回年次大会シンポジウム「量子・生命・ソフトマターにおける動的ゆらぎの普遍法則の現在と未来」
    • Place of Presentation
      東海大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] ハミルトン方程式から流体方程式へ

    • Author(s)
      佐々真一
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 非平衡系の定常分布によるポンピングの定式化

    • Author(s)
      中川尚子
    • 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 Annual Research Report
  • [Presentation] 環境と相互作用しながら外場で駆動される粒子の運動論的温度

    • Author(s)
      青柳達也、中川尚子
    • 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 Annual Research Report
  • [Presentation] 温度勾配を持つ1次元格子系における相加性の検討

    • Author(s)
      千葉義之、中川尚子
    • 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 Annual Research Report
  • [Remarks] 京都大学大学院理学研究科 物理学第1教室 佐々グループ 論文・出版物

    • URL

      http://www.ton.scphys.kyoto-u.ac.jp/nonlinear/sasa/publication_j.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] 佐々グループの論文・出版物

    • URL

      http://www.ton.scphys.kyoto-u.ac.jp/nonlinear/sasa/publication_j.html

    • Related Report
      2013 Annual Research Report

URL: 

Published: 2013-07-10   Modified: 2023-03-16  

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