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

Nonequilibrium Relaxation Method

Research Project

Project/Area Number 15607003
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計算科学
Research InstitutionThe University of Tokyo

Principal Investigator

ITO Nobuyasu  The University of Tokyo, Graduate School of Engineering, Associate Professor, 大学院工学系研究科, 助教授 (70211745)

Co-Investigator(Kenkyū-buntansha) 湯川 諭  東京大学, 大学院・ 工学系研究科, 助手 (20292899)
Project Period (FY) 2003 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥1,900,000 (Direct Cost: ¥1,900,000)
Keywordsmaterial design / computer simulation / nonequilibrium relaxation method / Alder transition / KT transition / phase transition / critical phenomena / Kaneko-Yomo model / 相図 / 拡散 / 非平衡反応系 / NERANALYZER / アボガドロチャレンジ / 京速計算機 / 反応系 / 輸送現象 / 非平衡 / 剛体粒子 / 分散系 / 動的指数 / アスペクト比 / 超スケーリング / イジング模型 / ラシュブルッケ不等式 / 地球シミュレータ / 非平衡仕事
Research Abstract

One well-established simulation strategy to study the thermal phases and transitions of a given microscopic model system is so-called the equilibrium method, in which one firstly realizes the equilibrium ensemble of a finite system and then extrapolates the results to infinite system. This equilibrium method traces over the standard theory of the thermal statistical mechanics, and over the idea of the thermodynamic limit. Recently, alternative simulation strategy has been developed by the initiative of the head investigator of this research project, which analyzes the nonequilibrium relaxation (NER) process. It is called the NER method. There are some advantages in the NER method over the equilibrium method. The NER method provides simpler analyzing procedure. This implies the less systematic error which is inevitable in the simulation and provides efficient resource usage. Main purpose of this research project is the following: (1) Further development of the NER method. (2) Refinement of the NER method as one standard technique to study material property. (3) Preparation towards analyzer software based on the NER method. During the four years of this project, these three are achieved. Analyzing method of the Kosterlitz-Thouless transition with the NER method is established, and it has turned out that hard-disk melting shows KT transition twice, as an example. Rejection free Monte Carlo method is developed for particle system, which makes simulation more efficient in high density region. An automatic analyzing software named as NER analyzer is designed and partly coded. The NER analyzer analyzes phase and exponent using the NER method by generating specified simulations, simulating and analyzing them, together with making precise log of execution in its database.

Report

(5 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (29 results)

All 2007 2006 2005 2004 Other

All Journal Article (26 results) Publications (3 results)

  • [Journal Article] Nonequilibrium Relaxation Method2007

    • Author(s)
      Y.Ozeki, N.Ito
    • Journal Title

      J.Phys. A (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Nonequilibrium Relaxation Method2007

    • Author(s)
      Y.Ozeki, N.Ito
    • Journal Title

      J.Phys.A (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Efficiency of Rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems2006

    • Author(s)
      H.Watanabe, S.Yukawa, M.A.Novotny, N.Ito
    • Journal Title

      Phys. Rev. E 74巻

      Pages: 26707-26707

    • NAID

      120000979821

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Positional Order and Diffusion Processes in Particle Systems2006

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Phys. Rev. E 74巻

    • NAID

      120000979823

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Rate constant in Far-from-equilibrium states of a Replicating system with Mutually Catalyzing Chemicals2006

    • Author(s)
      A.Kamimura, S.Yukawa, N.Ito
    • Journal Title

      J. Phys. Soc. Jpn. 75巻

      Pages: 24005-24005

    • NAID

      110004086867

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Efficiency of Rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems2006

    • Author(s)
      H.Watanabe, S.Yukawa, M.A.Novotny, N.Ito
    • Journal Title

      Phys.Rev.E vol.74

      Pages: 26707-26707

    • NAID

      120000979821

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Positional Order and Diffusion Processes in Particle Systems2006

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Phys.Rev.E vol.74

      Pages: 30201-30201

    • NAID

      120000979823

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Rate constant it Far-from-equilibrium states of a Replicating system with Mutually Catalyzing Chemicals2006

    • Author(s)
      A.Kamimura, S.Yukawa, N.Ito
    • Journal Title

      J.Phys.Soc.Jpn. vol.75

      Pages: 24005-24005

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Efficiency of Rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems2006

    • Author(s)
      H.Watanabe, S.Yukawa, M.A.Novotny, N.Ito
    • Journal Title

      Physical Review E 74巻

      Pages: 30201-30201

    • NAID

      120000979821

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Positional Order and Diffusion Processes in Particle Systems2006

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Physical Review E 74巻

      Pages: 26707-26707

    • NAID

      120000979823

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Rate constant in Far-from-equilibrium states of a Replicating system with Mutually Catalyzing Chemicals2006

    • Author(s)
      A.Kamimura, S.Yukawa, N.Ito
    • Journal Title

      Journal of the Physical Society of Japan 75巻

      Pages: 24005-24005

    • NAID

      110004086867

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Rate Constant in Far-from-Equilibrium States of a Replicating System with Mutually Catalyzing Chemicals2006

    • Author(s)
      A.Kamimura, S.Yukawa, N.Ito
    • Journal Title

      Journal of the Physical Society of Japan 75

      Pages: 24005-24005

    • NAID

      110004086867

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Nonequilibrium relaxation method - an alternative simulation strategy2005

    • Author(s)
      N.Ito
    • Journal Title

      Pramana-Journal of Physics(Indian Academy of Sciences) Proc. Intern. Conf. Stat. Phys. (2005, Bangalore, India) 64巻

      Pages: 871-871

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Size-dispersity effects in two-dimensional melting2005

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Phys. Rev. E 71巻

      Pages: 16702-16702

    • NAID

      120000979818

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Rate constant of Kaneko-Yomo model2005

    • Author(s)
      A.Kamimura, S.Yukawa, N.Ito
    • Journal Title

      J. Phys. Soc. Jpn. 74巻

      Pages: 1071-1071

    • NAID

      110001979490

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Nonequilibrium relaxation method - an alternative simulation strategy2005

    • Author(s)
      N.Ito
    • Journal Title

      Pramana-Journal of Physics (Indian Academy of Sciences)Proc.Intern.Conf.Stat.Phys.(2005, Bangalore, India) vol.74

      Pages: 871-871

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Size-dispersity effects in two-dimensional melting2005

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Phys.Rev.E vol.71

      Pages: 16702-16702

    • NAID

      120000979818

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Rate constant of Kaneko-Yomo model2005

    • Author(s)
      A.Kamimura, S.Yukawa, N.Ito
    • Journal Title

      J.Phys.Soc.Jpn. vol.74

      Pages: 1071-1071

    • NAID

      110001979490

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Super-scaling of Percolation on Rectangular Domains2005

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito, C.-K.Hu
    • Journal Title

      Phys.Rev.Lett. vol.93

      Pages: 190601-190601

    • NAID

      110009720697

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Nonequilibrium relaxation method - an alternative simulation strategy(invited)2005

    • Author(s)
      N.Ito
    • Journal Title

      Prama-Journal of Physics(Indian Academy of Sciences) as the proceedings of the 22^<nd> International Conference on Statistical Physics 64

      Pages: 871-871

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Size-dispersity effects on two-dimensional melting2005

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Physical Review E 71

      Pages: 16702-16702

    • NAID

      120000979818

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Super-scaling of Percolation on Rectangular Domains2004

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito, C.-K.Hu
    • Journal Title

      Phys. Rev. Lett. 93巻

      Pages: 190601-190601

    • NAID

      110009720697

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Critical exponents of isotropic-hexatic phase transition in the hard-disk system2004

    • Author(s)
      H.Watanabe, S.Yukawa, Y.Ozeki, N.Ito
    • Journal Title

      Phys. Rev. E 69巻

      Pages: 45103-45103

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Critical exponents of isotropic-hexatic phase transition in the hard-disk system2004

    • Author(s)
      H.Watanabe, S.Yukawa, Y.Ozeki, N.Ito
    • Journal Title

      Phys.Rev.E vol.69

      Pages: 45103-45103

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Critical exponents of isotropic-hexatic phase trensition in the hard-disk system2004

    • Author(s)
      H.Watanabe, S.Tukawa, N.Ito
    • Journal Title

      Physical Review E 69

      Pages: 45103-45103

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Super-scaling of Percolation on Rectangular Domains2004

    • Author(s)
      H.Watanabe, S.Yukawa, N.Ito
    • Journal Title

      Physical Reivew Letter 93

      Pages: 190601-190601

    • NAID

      110009720697

    • Related Report
      2004 Annual Research Report
  • [Publications] Y.Ozeki, N.Ito: "Nonequilibrium relaxation analysis of fully frustrated XY models in two dimensions"Phys.Rev.B. 68巻. 054414 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Ozeki, N.Ito: "Dynamical Rushbrooke's inequality for nonequilibrium relaxation process"J.Phys.A. 36巻. 5157 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Watanabe, S.Yukawa, Y.Ozaki, N.Ito: "Critical exponents of isotropic-hexatic phase transition in the hard-disk system"Phys.Rev.E. (印刷中). (2004)

    • Related Report
      2003 Annual Research Report

URL: 

Published: 2003-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi