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Exact analyses on dynamical properties of one-dimensional stochastic models

Research Project

Project/Area Number 22740251
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionThe University of Tokyo

Principal Investigator

IMAMURA Takashi  東京大学, 先端科学技術研究センター, 助教 (70538280)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords数理物理 / KPZ方程式 / レプリカ法 / 厳密解 / ボーズガス / KPZ / 確率過程 / レプリカ / ボース気体 / ASEP / ランダム行列 / 非平衡 / 揺らぎ
Research Abstract

We have investigated exact time evolution properties of the stochastic models which describe nonequilibrium systems especially the asymmetric simple exclusion process, which is a many-body random walk model and the Kardar-Parisi-Zhnag equation, a basic equation for surface growth phenomena. In some important initial conditions, we have obtained exact expressions for the probability distribution functions of some important physical quantities such as current, height etc.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (44 results)

All 2013 2012 2011 2010 Other

All Journal Article (10 results) (of which Peer Reviewed: 9 results) Presentation (31 results) (of which Invited: 4 results) Remarks (3 results)

  • [Journal Article] Stationary correlations for the 1D KPZ equation2013

    • Author(s)
      T. Imamura and T. Sasamoto
    • Journal Title

      J. Stat. Phys

      Volume: 150 Issue: 5 Pages: 908-939

    • DOI

      10.1007/s10955-013-0710-3

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exact solution for the stationary KPZ equation2012

    • Author(s)
      T. Imamura and T. Sasamoto
    • Journal Title

      Phys. Rev. Lett

      Volume: 108 Issue: 19 Pages: 190693-190693

    • DOI

      10.1103/physrevlett.108.190603

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Propagation speed of a starting wave in a queue of pedestrians2012

    • Author(s)
      友枝明保、柳澤大地、今村卓史、西成活裕
    • Journal Title

      Physical

      Volume: 86 Issue: 3 Pages: 36113-36113

    • DOI

      10.1103/physreve.86.036113

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] I-V characteristics of an open quantumdot with a Coulomb interaction: Extension of the Landauer formula with exact scattering eigenstates2011

    • Author(s)
      西野晃徳、今村卓史、羽田野直道
    • Journal Title

      Physical Review

      Volume: B83

    • Related Report
      2012 Final Research Report
  • [Journal Article] Current moments of 1D ASEP by duality2011

    • Author(s)
      T. Imamura, T. Sasamoto
    • Journal Title

      J. Stat. Phys

      Volume: 142 Issue: 5 Pages: 919-930

    • DOI

      10.1007/s10955-011-0149-3

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Replica approach to the KPZ equation with half Brownian motion initial condition2011

    • Author(s)
      T. Imamura and T. Sasamoto
    • Journal Title

      J. Phys. A

      Volume: 44 Issue: 38 Pages: 385001-385001

    • DOI

      10.1088/1751-8113/44/38/385001

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] KPZ普遍クラスにおける厳密解2011

    • Author(s)
      今村卓史
    • Journal Title

      研究集会報告非線形波動研究の進展-現象と数理の相互作用-

      Volume: 23AO-S7 Pages: 115-126

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] I-V characteristics of an open quantum dot with a Coulomb interaction : Extension of the Landauer formula with exact scattering eigenstates2011

    • Author(s)
      西野晃徳・今村卓史・羽田野直道
    • Journal Title

      Physical Review B

      Volume: 83

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Current moments of 1D ASEP by duality2011

    • Author(s)
      今村卓史・笹本智弘
    • Journal Title

      Journal of Statistical Physics

      Volume: 142 Pages: 919-930

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of a Tagged Particle in the Asymmetric Exclusion Process with Particlewise Disorder2010

    • Author(s)
      今村卓史
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 6350 Pages: 561-569

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Replica approach to the KPZequation with Brownian motion initial condition2013

    • Author(s)
      今村卓史
    • Organizer
      Determinantal Processes and Related Topics
    • Place of Presentation
      Technische Universitat Munchen、Germany
    • Year and Date
      2013-03-11
    • Related Report
      2012 Final Research Report
  • [Presentation] Replica approach to the KPZ equation with Brownian motion initial condition2013

    • Author(s)
      今村 卓史
    • Organizer
      Determinantal Processes and Related Topics
    • Place of Presentation
      Technische Universitat Munchen (Germany)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Replica analysis of the one-dimensional stationary Kardar-Parisi-Zhang equation2012

    • Author(s)
      今村卓史
    • Organizer
      Spectra of Random Operato rs and Related Topics
    • Place of Presentation
      京都大学人間・環境学研究科棟
    • Year and Date
      2012-12-06
    • Related Report
      2012 Final Research Report
  • [Presentation] Replica analysis of the one-dimensional Kardar-Parisi-Zhang equati on2012

    • Author(s)
      今村卓史
    • Organizer
      Novel development of statistical physics
    • Place of Presentation
      東京大学小柴ホール
    • Year and Date
      2012-12-04
    • Related Report
      2012 Final Research Report
  • [Presentation] Replica analysis of the one-dimensional stationary Kardar-Parisi-Zhang equation2012

    • Author(s)
      今村卓史
    • Organizer
      International Congress onMathematical Physics (ICMP) 12
    • Place of Presentation
      Aalborg Congress and Culture Ce nter、Denmark
    • Year and Date
      2012-08-08
    • Related Report
      2012 Final Research Report
  • [Presentation] 一次元KPZ方程式の厳密解:レプリカ法によるアプローチ2012

    • Author(s)
      今村卓史
    • Organizer
      駒場物性セミナー
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2012-05-18
    • Related Report
      2012 Final Research Report
  • [Presentation] Replica analysis of the stationary 1d KPZ equation2012

    • Author(s)
      今村卓史
    • Organizer
      Recent Topics o f Statistical Mechanics and ProbabilityTheory
    • Place of Presentation
      中央大学
    • Year and Date
      2012-03-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Replica analysis of the stationary 1d KPZ equation2012

    • Author(s)
      今村卓史
    • Organizer
      Recent Topics of Statistical Mechanics and Probability Theory
    • Place of Presentation
      中央大学(東京都)(招待講演)
    • Year and Date
      2012-03-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] 定常状態における1次元KPZ方程式の厳密な高さ分布2012

    • Author(s)
      今村卓史
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ケ原キャンパス
    • Year and Date
      2012-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] 定常状態における1次元KPZ方程式の厳密な高さ分布2012

    • Author(s)
      今村卓史・笹本智弘
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ケ原キャンパス(兵庫県)
    • Year and Date
      2012-03-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] Replica analysis of the stationary 1d KPZ equation2012

    • Author(s)
      今村卓史
    • Organizer
      Interacting particle systems, growth models and random matrices
    • Place of Presentation
      Warwick University
    • Year and Date
      2012-03-19
    • Related Report
      2012 Final Research Report
  • [Presentation] Replica analysis of the stationary 1d KPZ equation2012

    • Author(s)
      今村卓史
    • Organizer
      Interacting particle systems, growth models and random matrices
    • Place of Presentation
      Warwick University (U.K.)
    • Year and Date
      2012-03-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] 一次元KPZ方程式の厳密解: レプリカ法によるアプローチ2012

    • Author(s)
      今村 卓史
    • Organizer
      駒場物性セミナー
    • Place of Presentation
      東京大学駒場キャンパス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Replica analysis of the one-dimensional stationary Kardar-Parisi-Zhang equation2012

    • Author(s)
      今村 卓史
    • Organizer
      International Congress on Mathematical Physics (ICMP) 12
    • Place of Presentation
      Aalborg Congress and Culture Center (Denmark)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Replica analysis of the one-dimensional Kardar-Parisi-Zhang equation2012

    • Author(s)
      今村 卓史
    • Organizer
      Novel development of statistical physics
    • Place of Presentation
      東京大学小柴ホール
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Replica analysis of the one-dimensional stationary Kardar-Parisi-Zhang equation2012

    • Author(s)
      今村 卓史
    • Organizer
      Spectra of Random Operators and Related Topics
    • Place of Presentation
      京都大学人間・環境学研究科棟
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] KPZ普遍クラスにおける厳密解2011

    • Author(s)
      今村卓史
    • Organizer
      非線形波動研究の進展-現象と数理の相互作用-
    • Place of Presentation
      九州大学筑紫地区総合研究棟筑紫ホール
    • Year and Date
      2011-10-29
    • Related Report
      2012 Final Research Report
  • [Presentation] KPZ普遍クラスにおける厳密解2011

    • Author(s)
      今村卓史
    • Organizer
      非線形波動研究の進展-現象と数理の相互作用-
    • Place of Presentation
      九州大学筑紫地区総合研究棟筑紫ホール(福岡県)(招待講演)
    • Year and Date
      2011-10-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] 半ブラウン運動型初期条件における1次元KPZ方程式の厳密解:レプリカベーテ仮説法によるアプローチ2011

    • Author(s)
      今村卓史
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-23
    • Related Report
      2012 Final Research Report
  • [Presentation] 半ブラウン運動型初期条件における1次元KPZ方程式の厳密解:レプリカベーテ仮説法によるアプローチ2011

    • Author(s)
      今村卓史・笹本智弘
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学(富山県)
    • Year and Date
      2011-09-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] レプリカベーテ仮説法による1次元KPZ方程式の厳密解2011

    • Author(s)
      今村卓史
    • Organizer
      非平衡系の物理-ミクロとマクロの架け橋
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2011-08-18
    • Related Report
      2012 Final Research Report
  • [Presentation] レプリカベーテ仮説法による1次元KPZ方程式の厳密解2011

    • Author(s)
      今村卓史
    • Organizer
      非平衡系の物理-ミクロとマクロの架け橋
    • Place of Presentation
      京都大学基礎物理学研究所(京都府)
    • Year and Date
      2011-08-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] ランダム行列理論と直交多項式2010

    • Author(s)
      今村卓史
    • Organizer
      非線形数理若手の会
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2010-11-16
    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [Presentation] ASEPにおけるカレント分布:双対性からのアプローチ、非線形波動研究の新たな展開 -現象とモデル化-2010

    • Author(s)
      今村卓史
    • Organizer
      非線形波動研究の新たな展開-現象とモデル化
    • Place of Presentation
      九州大学応用力学研究所
    • Year and Date
      2010-10-30
    • Related Report
      2012 Final Research Report
  • [Presentation] ASEPにおけるカレント分布:双対性からのアプローチ2010

    • Author(s)
      今村卓史
    • Organizer
      非線形波動研究の新たな展開-現象とモデル化-
    • Place of Presentation
      九州大学応用力学研究所
    • Year and Date
      2010-10-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dynamics of a Tagged Partic le in the Asymmetric Exclusion Processwith Particlewise Disorder2010

    • Author(s)
      今村卓史
    • Organizer
      Workshop TCA- First international workshop on Traffic and Cellular Automata
    • Place of Presentation
      Ascoli Piceno, Italy
    • Year and Date
      2010-09-21
    • Related Report
      2012 Final Research Report
  • [Presentation] Dynamics of a Tagged Particle in the Asymmetric Exclusion Process with Particlewise Disorder2010

    • Author(s)
      今村卓史
    • Organizer
      Workshop TCA-First international workshop on Traffic and Cellular Automata
    • Place of Presentation
      Ascoli Piceno, Italy
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] KPZ δ-Bose gas, and random matrices2010

    • Author(s)
      今村卓史
    • Organizer
      研究集会2010可積分系数理の多様性
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-08-18
    • Related Report
      2012 Final Research Report
  • [Presentation] KPZ,δ-Bose gas,and random matrices2010

    • Author(s)
      今村卓史
    • Organizer
      RIMS研究集会2010 可積分系数理の多様性
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-08-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] Nonequilibrium transportproperties in an open quantum dot:Exact many-electron scattering state2010

    • Author(s)
      今村卓史
    • Organizer
      STATPHYS24
    • Place of Presentation
      Convention Centre, Cairns, Queensland, Australia
    • Year and Date
      2010-07-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Nonequilibrium transport properties in an open quantum dot : Exact many-electron scattering state2010

    • Author(s)
      今村卓史・西野晃徳・羽田野直道
    • Organizer
      STATPHYS24
    • Place of Presentation
      Convention Centre, Cairns, Queensland, Australia
    • Year and Date
      2010-07-20
    • Related Report
      2010 Annual Research Report
  • [Remarks] Scaling the Heights

    • URL

      http://physics.aps.org/synopsis-for/10.1103/PhysRevLett.108.190603

    • Related Report
      2012 Final Research Report
  • [Remarks] 先端研NAVI:第55号 2012年6月15日

    • URL

      http://www.rcast.u-tokyo.ac.jp/ja//magazine/archive/0/74.html

    • Related Report
      2012 Final Research Report
  • [Remarks] Scaling the Heights

    • URL

      http://physics.aps.org/synopsis-for/10.1103/PhysRevLett.108.190603

    • Related Report
      2012 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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