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Topological Constraint in Ring Polymers Studied by Monte Carlo Simulation

Research Project

Project/Area Number 22740281
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Biophysics/Chemical physics
Research InstitutionHigh Energy Accelerator Research Organization

Principal Investigator

SUZUKI Jiro  大学共同利用機関法人高エネルギー加速器研究機構, 共通基盤研究施設 計算科学センター, 研究機関講師 (40415047)

Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords環状高分子 / シミュレーション / バルク / 希薄溶液 / 拡がり / θ状態 / トポロジー / 溶液 / ソフトマター
Research Abstract

I studied equilibrium conformations of ring polymers at their theta-conditions using a Monte-Carlo simulation. The Flory's critical exponents, nu, were obtained from the dependence of the radius of gyration, Rg, on the segment number of the polymers, N. At the theta-temperature the excluded volumes of linear polymers are screened completely by the attractive force between segments, where the nu value is 1/2 and the trajectories of the chains can be described as a random walk. If the nu value for ring polymers is not 1/2 at the theta-temperature for linear polymers, the chain conformations of ring polymers are not described as a closed random walk. I reported that the theta-temperature for trivial-, 3_1 and 5_1 ring polymers are lower than that for linear polymers. I also suggested a new simulation algorithm, where polymer chains were placed on a face-centered cubic lattice and can move not only with the local motion but also with the trans-location in the algorithm.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (23 results)

All 2013 2012 2011 2010 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (18 results) (of which Invited: 1 results)

  • [Journal Article] Chain conformations of ring polymers under theta conditions studied by Monte Carlo simulation2013

    • Author(s)
      Jiro Suzuki, Atsushi Takano and Yushu Matsushita
    • Journal Title

      J. Chem. Phys

      Volume: 139 Issue: 18 Pages: 184904-184904

    • DOI

      10.1063/1.4829046

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Topological constraint in ring polymers under theta conditions studied by Monte Carlo simulation2013

    • Author(s)
      Jiro Suzuki, Atsushi Takano and Yushu Matsushita
    • Journal Title

      J. Chem. Phys

      Volume: 138 Issue: 2 Pages: 24902-24902

    • DOI

      10.1063/1.4773822

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Theta-Temperature Depression Caused by Topological Effect in Ring Polymers Studied by Monte-Carlo Simulation2011

    • Author(s)
      Jiro Suzuki, Atsushi Takano and Yushu Matsushita
    • Journal Title

      J. Chem. Phys

      Volume: 135 Issue: 20 Pages: 204903-204903

    • DOI

      10.1063/1.3663383

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Jiro Suzuki, Atsushi Takano and Yushu Matsushita2011

    • Author(s)
      Dimension of Ring Polymers in Melt Studied by Monte-Carlo Simulation
    • Journal Title

      Prog. of Theor. Phys. Supp

      Volume: 191 Pages: 130-130

    • DOI

      10.1143/ptps.191.130

    • NAID

      110008798531

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dimension of Ring Polymers in Melt Studied by Monte-Carlo Simulation

    • Author(s)
      Jiro Suzuki, Atsushi Takano, Yushu Matsushita
    • Journal Title

      Progress of Theoretical Physics Supplement

      Volume: (掲載確定 未定)

    • NAID

      110008798531

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] シータ温度における環状高分子のトポロジーと拡がりの相関2013

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第62回高分子討論会
    • Place of Presentation
      金沢市 金沢大学角間キャンパス
    • Year and Date
      2013-09-12
    • Related Report
      2013 Final Research Report
  • [Presentation] 非摂動状態のリングポリマーのトポロジーと拡がりの相関2013

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第62回高分子学会年次大会
    • Place of Presentation
      京都市 京都国際会議場
    • Year and Date
      2013-05-31
    • Related Report
      2013 Final Research Report
  • [Presentation] 希薄溶液中のリングポリマーのトポロジーと拡がりの相関2012

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第61回高分子学会年次大会
    • Place of Presentation
      横浜市 パシフィコ横浜
    • Year and Date
      2012-05-31
    • Related Report
      2013 Final Research Report
  • [Presentation] Theta-Temperature Depression Caused by Topological Effect in Ring Polymers2012

    • Author(s)
      Jiro Suzuki, Atsushi Takano and Yushu Matsushita
    • Organizer
      2012 Spring Western Section Meeting, American Mathematical Society (国際会議)
    • Place of Presentation
      Manoa, Honolulu, Hawaii, United States of America, Hawaii University at Manoa
    • Year and Date
      2012-03-04
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] 希薄溶液中のリングポリマーのトポロジーと拡がりの相関2012

    • Author(s)
      鈴木次郎
    • Organizer
      第61回高分子学会年次大会
    • Place of Presentation
      パシフィコ横浜
    • Related Report
      2012 Annual Research Report
  • [Presentation] Theta-temperature depression caused by topological effect in ring polymers2012

    • Author(s)
      Jiro Suzuki
    • Organizer
      American Mathematics Society, 2012 Spring Western Sectional Meeting
    • Place of Presentation
      University of Hawaii at Manoa (USA)(招待講演)
    • Related Report
      2011 Annual Research Report
  • [Presentation] 希薄状態における環状高分子のトポロジーと拡がりの相関2011

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第60回高分子討論会
    • Place of Presentation
      岡山市 岡山大学津島キャンパス
    • Year and Date
      2011-09-28
    • Related Report
      2013 Final Research Report
  • [Presentation] 希薄状態における環状高分子のトポロジーと拡がりの相関2011

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第60回高分子討論会
    • Place of Presentation
      岡山大学津島キャンパス(岡山県)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] カテナン型リングポリマーのトポロジーと分子鎖の拡がりの相関2011

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第60回高分子学会年次大会
    • Place of Presentation
      大阪市 大阪国際会議場
    • Year and Date
      2011-05-25
    • Related Report
      2013 Final Research Report
  • [Presentation] カテナン型リングポリマーのトポロジーと分子の拡がりの相関2011

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第60回高分子学会年次大会
    • Place of Presentation
      大阪国際会議場(大阪府)
    • Year and Date
      2011-05-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] シミュレーション解析による種々のリングポリマーのトポロジーと拡がりの相関2010

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第59回高分子討論会
    • Place of Presentation
      札幌市 北海道大学 札幌キャンパス
    • Year and Date
      2010-09-15
    • Related Report
      2013 Final Research Report
  • [Presentation] シミュレーション解析による種々のリングポリマーのトポロジーと拡がりの相関2010

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第59回高分子討論会
    • Place of Presentation
      北海道札幌市北海道大学札幌キャンパス
    • Year and Date
      2010-09-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dimension of Ring Polymers in Melt Studied by Monte-Carlo Simulation2010

    • Author(s)
      Jiro Suzuki, Atsushi Takano and Yushu Matsushita
    • Organizer
      Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins ( 国際会議)
    • Place of Presentation
      Kyoto, Japan, Panasonic Auditorium, Yukawa Institute for Theoretical Physics, Kyoto University
    • Year and Date
      2010-08-05
    • Related Report
      2013 Final Research Report
  • [Presentation] Dimension of Ring Polymers in Melt Studied by Monte-Carlo Simulation2010

    • Author(s)
      Jiro Suzuki, Atsushi Takano, Yushu Matsushita
    • Organizer
      Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins
    • Place of Presentation
      Kyoto, Japan Panasonic Auditorium, Yukawa Institute for Theoretical Physics, Kyoto University
    • Year and Date
      2010-08-05
    • Related Report
      2010 Annual Research Report
  • [Presentation] バルクにおける種々のリングポリマーの拡がりへのトポロジー効果 --シミュレーション解析2010

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第59回高分子学会年次大会
    • Place of Presentation
      横浜市 パシフィコ横浜
    • Year and Date
      2010-05-28
    • Related Report
      2013 Final Research Report
  • [Presentation] バルクにおける種々のリングポリマーの拡がりへのトポロジー効果---シミュレーション解析2010

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      第59回高分子学会年次大会
    • Place of Presentation
      横浜市パシフィコ横浜
    • Year and Date
      2010-05-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] 非摂動状態のリングポリマーのトポロジーと拡がりの相関

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      高分子学会 年次大会
    • Place of Presentation
      京都国際会議場
    • Related Report
      2013 Annual Research Report
  • [Presentation] θ温度における環状高分子のトポロジーと拡がりの相関

    • Author(s)
      鈴木次郎, 高野敦志, 松下裕秀
    • Organizer
      高分子学会 討論会
    • Place of Presentation
      金沢大学
    • Related Report
      2013 Annual Research Report

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

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