• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Scaling limits for non-reversible and non-gradient systems

Research Project

Project/Area Number 23840036
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKeio University

Principal Investigator

SASADA Makiko  慶應義塾大学, 理工学部, 助教 (00609042)

Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords流体力学極限 / 揺動問題 / 非勾配型 / 国際研究者交流 / デンマーク:カナダ:フランス:ハンガリー / スケール極限 / 確率過程 / 非勾配型モデル / 平衡揺動問題 / 国際情報交換 / フランス
Research Abstract

We study the energy diffusion in a chain of an-harmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve following an

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • Research Products

    (31 results)

All 2013 2012 2011 Other

All Journal Article (10 results) (of which Peer Reviewed: 7 results) Presentation (21 results) (of which Invited: 6 results)

  • [Journal Article] On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice2013

    • Author(s)
      Makiko SASADA
    • Journal Title

      Symmetries, Integrable Systems and Representations, Springer Proceedings in Mathematics & Statistics

      Pages: 543-560

    • Related Report
      2012 Final Research Report
  • [Journal Article] On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice2013

    • Author(s)
      Makiko Sasada
    • Journal Title

      Symmetries, Integrable Systems and Representations ; Springer Proceedings in Mathematics & Statistics

      Volume: 40 Pages: 543-560

    • DOI

      10.1007/978-1-4471-4863-0_23

    • ISBN
      9781447148623, 9781447148630
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fluctuations in an evolutional model of two-dimensional Young diagrams2013

    • Author(s)
      T. Funaki, M. Sasada, M. Sauer and B. Xie
    • Journal Title

      Stoch. Proc. Appl.

      Volume: 123 Issue: 4 Pages: 1229-1275

    • DOI

      10.1016/j.spa.2012.12.005

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Macroscopic energy diffusion for a chain of anharmonic oscillators2013

    • Author(s)
      Stefano Olla
    • Journal Title

      Probability Theory and Related Fields

      Volume: not yet decided Issue: 3-4 Pages: 721-775

    • DOI

      10.1007/s00440-012-0469-5

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spectral gap for multi-species exclusion processes2011

    • Author(s)
      Yukio NAGAHATA, Makiko SASADA
    • Journal Title

      Journal of Statistical Physics

      Volume: 3 Pages: 381-398

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hydrodynamic limit for exclusion processes with velocity2011

    • Author(s)
      Makiko SASADA
    • Journal Title

      Markov processes and related fields

      Volume: 17 Pages: 391-428

    • Related Report
      2012 Final Research Report
  • [Journal Article] Spectral gap for multi-species exclusion processes2011

    • Author(s)
      Yukio Nagahata
    • Journal Title

      Journal of Statistical Physics

      Volume: 143 Issue: 2 Pages: 381-398

    • DOI

      10.1007/s10955-011-0176-0

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hydrodynamic limit for exelusion processes with velocity2011

    • Author(s)
      佐々田槙子
    • Journal Title

      Markov processes and related fields

      Volume: 17-3 Pages: 391-428

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Macroscopic energy diffusion for a chain of anharmonic oscillators,Stefano Olla

    • Author(s)
      Makiko SASADA
    • Journal Title

      Probability theory and related fields

    • Related Report
      2012 Final Research Report
  • [Journal Article] On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice

    • Author(s)
      佐々田槙子
    • Journal Title

      Proceeding of the conference "Infinite Analysis"

      Volume: (掲載決定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] ハミルトン系と流体力学極限2013

    • Author(s)
      佐々田 槙子
    • Organizer
      城崎新人セミナー
    • Place of Presentation
      兵庫県豊岡市 城崎総合支所
    • Year and Date
      2013-02-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Mixing rates of stochastic energy exchange models with degenerate rate functions2012

    • Author(s)
      Makiko SASADA
    • Organizer
      Nonequilibrium Statistical Mechanics, Mathematical Understanding and Numerical Simulation, Banff International Research Station
    • Place of Presentation
      Canada
    • Year and Date
      2012-11-14
    • Related Report
      2012 Final Research Report
  • [Presentation] Microscopic dynamics for the porous medium equation and other degenerate parabolic equations2012

    • Author(s)
      Makiko SASADA
    • Organizer
      MSJ-KMS Joint Meeting 2012
    • Place of Presentation
      Centennial Hall, Kyushu UniversityMedical School
    • Year and Date
      2012-09-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Stochastic energy exchange models with degenerate rate functions2012

    • Author(s)
      Makiko SASADA
    • Organizer
      International Congress on Mathematical Physics ICMP2012
    • Place of Presentation
      Aalborg, Denmark
    • Year and Date
      2012-08-09
    • Related Report
      2012 Final Research Report
  • [Presentation] 退化放物型方程式の流体力学極限による導出2012

    • Author(s)
      佐々田槙子
    • Organizer
      RIMS共同研究 異常拡散の数理
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-07-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Spectral gap for stochastic energy exchange models with degenerate rate functions2012

    • Author(s)
      Makiko SASADA
    • Organizer
      11th Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      The University of Tokyo
    • Year and Date
      2012-07-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Kac walk とその他のbinary collision process に対するスペクトルギャップについて2012

    • Author(s)
      佐々田槙子
    • Organizer
      数理物理と確率解析
    • Place of Presentation
      湘南国際村センター
    • Year and Date
      2012-03-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Kac walkとその他のbinary collision processに対するスペクトルギャップについて2012

    • Author(s)
      佐々田槙子
    • Organizer
      数理物理と確率解析
    • Place of Presentation
      湘南国際村センター(神奈川県)
    • Year and Date
      2012-03-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hydrodynamic limit for exelusion processes with velocity2012

    • Author(s)
      佐々田槙子
    • Organizer
      ESF-JSPS Frontier Science Conference Series for Young Researchers Mathematics for Innovation : Large and Complex Systems
    • Place of Presentation
      フォーシーズンズホテル・椿山荘(東京都)
    • Year and Date
      2012-03-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] Kac walk とその他のbinary collision process に対するスペクトルギャップについて2012

    • Author(s)
      佐々田槙子
    • Organizer
      新潟確率論ワークショップ
    • Place of Presentation
      新潟大学
    • Year and Date
      2012-01-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Kac walkとその他のbinary collision processに対するスペクトルギャップについて2012

    • Author(s)
      佐々田槙子
    • Organizer
      新潟確率論ワークショップ
    • Place of Presentation
      新潟大学(招待講演)
    • Year and Date
      2012-01-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Spectral gap for energy exchange models with rate functions approaching zero2011

    • Author(s)
      佐々田槙子
    • Organizer
      10th workshop on Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      高知大学(招待講演)
    • Year and Date
      2011-12-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] 速度を持つ粒子系に対する流体力学極限2011

    • Author(s)
      佐々田槙子
    • Organizer
      日本数学会統計数学分科会特別講演
    • Place of Presentation
      信州大学(招待講演)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Spectral gap for energy exchange models with rate functions approaching zero2011

    • Author(s)
      Makiko SASADA
    • Organizer
      10th Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      Kochi University
    • Year and Date
      2011-09-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Scaling limits for exclusion processes and evolutional models of Young diagrams2011

    • Author(s)
      佐々田槙子
    • Organizer
      Infinite Analysis 11
    • Place of Presentation
      東京大学数理科学研究科(招待講演)
    • Year and Date
      2011-07-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Spectral gap for stochastic energy exchange models with degenerate rate functions

    • Author(s)
      佐々田槙子
    • Organizer
      11th workshop on Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      Graduate School of Mathematical Sciences, University of Tokyo
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 退化放物型方程式の流体力学極限による導出

    • Author(s)
      佐々田槙子
    • Organizer
      異常拡散の数理
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Stochastic energy exchange models with degenerate rate functions

    • Author(s)
      佐々田槙子
    • Organizer
      International Congress on Mathematical Physics ICMP2012
    • Place of Presentation
      Aalborg, Denmark
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Microscopic dynamics for the porous medium equation and other degenerate parabolic equations

    • Author(s)
      佐々田槙子
    • Organizer
      MSJ-KMS Joint Meeting 2012
    • Place of Presentation
      Centennial Hall, Kyushu University Medical School
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Mixing rates of stochastic energy exchange models with degenerate rate functions

    • Author(s)
      佐々田槙子
    • Organizer
      Nonequilibrium Statistical Mechanics: Mathematical Understanding and Numerical Simulation
    • Place of Presentation
      Banff International Research Station
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] ハミルトン系と流体力学極限

    • Author(s)
      佐々田槙子
    • Organizer
      城崎新人セミナー
    • Place of Presentation
      兵庫県豊岡市 城崎総合支所
    • Related Report
      2012 Annual Research Report
    • Invited

URL: 

Published: 2011-09-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi