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Microscopic theory of Stokes resistance

Research Project

Project/Area Number 16K05512
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Biological physics/Chemical physics/Soft matter physics
Research InstitutionNiigata University

Principal Investigator

Akira Yoshimori  新潟大学, 自然科学系, 教授 (90260588)

Co-Investigator(Kenkyū-buntansha) 秋山 良  九州大学, 理学研究院, 准教授 (60363347)
Project Period (FY) 2016-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsストークス則 / 拡散 / 佐々の方法 / 粘性 / 選択的溶媒和 / 2成分溶媒 / 摂動展開 / 粗視化方程式 / 内部自由度をもった粒子 / 分子の回転運動 / 局所平衡分布 / 外場のもとでのStokes抵抗 / 外場による抵抗の増加 / 溶液中の分子の摩擦 / Stokes則からのずれ / 球対称の相互作用 / slip長のミクロな表現 / 化学物理 / 溶液 / 非平衡
Outline of Final Research Achievements

Stokes' law describes the force exerted on a macroscopic solute from flowing solvent particles using the hydrodynamic equations with a boundary condition on the solute surface. In the present study, the boundary condition is exactly derived from Hamiltonian equations even at a high solvent density, such as a liquid state. It is derived from the large-solute particle limit in regions far from and near the solute particle. From the limit near the solute, the slip boundary condition is always obtained if the solute-solvent particle interaction depends solely on the distance between particles. In addition, the deviation from the slip boundary condition is obtained by perturbation expansion in solute-solvent size ratio.

Academic Significance and Societal Importance of the Research Achievements

物体に沿って液体を流すというのは多くの現象に見られ、また応用も多岐にわたる。特に物体が球形の場合は拡散と関係があり、生体内の物質輸送や工学的な応用も高いと考えられる。たとえば、大きい粒子であるにもかかわらず、大きく拡散することができれば、物質の輸送に有利であると考えられる。その鍵を握るのは粒子の表面の境界条件であり、この境界条件と微視的な粒子間相互作用により制御できれば、拡散のしやすさも設計できる。この研究では、境界条件と相互作用の関係を明らかにできた。

Report

(6 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (24 results)

All 2021 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (1 results) Journal Article (12 results) (of which Peer Reviewed: 12 results,  Acknowledgement Compliant: 2 results) Presentation (11 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results)

  • [Int'l Joint Research] Freie Universtat Berlin(ドイツ)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Inhomogeneous Effects of Number Density on Polarization Relaxation of a Polar Solvent around an Ion2021

    • Author(s)
      Junpei Noji and Akira Yoshimori
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: -

    • NAID

      40022620418

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Solvation effects on diffusion processes of a macromolecule: Accuracy required for radial distribution function to calculate diffusion coefficient2021

    • Author(s)
      Nakamura Yuka、Yoshimori Akira、Akiyama Ryo
    • Journal Title

      The Journal of Chemical Physics

      Volume: 154 Issue: 8 Pages: 084501-084501

    • DOI

      10.1063/5.0038894

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reentrant crystallization of like-charged colloidal particles in an electrolyte solution: Relationship between the shape of the phase diagram and the effective potential of colloidal particles2020

    • Author(s)
      Y. Tamura, A. Yoshimori, A. Suematsu and R. Akiyama
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 129 Pages: 66001-66001

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reentrant crystallization of like-charged colloidal particles in an electrolyte solution: Relationship between the shape of the phase diagram and the effective potential of colloidal particles2020

    • Author(s)
      Tamura Y.、Yoshimori A.、Suematsu A.、Akiyama R.
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 129 Issue: 6 Pages: 66001-66001

    • DOI

      10.1209/0295-5075/129/66001

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reduced density profile of small particles near a large particle: Results of an integral equation theory with an accurate bridge function and a Monte Carlo simulation2019

    • Author(s)
      Nakamura Yuka、Arai Shota、Kinoshita Masahiro、Yoshimori Akira、Akiyama Ryo
    • Journal Title

      The Journal of Chemical Physics

      Volume: 151 Issue: 4 Pages: 044506-044506

    • DOI

      10.1063/1.5100040

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reciprocal relations associated with linear responses to mechanical and thermal perturbations in nonequilibrium Langevin systems2018

    • Author(s)
      Yamada Kazuo、Yoshimori Akira
    • Journal Title

      Physical Review E

      Volume: 98 Issue: 4 Pages: 042120-042120

    • DOI

      10.1103/physreve.98.042120

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stick boundary condition at large hard sphere arising from effective attraction in binary hard-sphere mixtures2018

    • Author(s)
      Nakamura Yuka, Yoshimori Akira, Akiyama Ryo, Yamaguchi Tsuyoshi
    • Journal Title

      THE JOURNAL OF CHEMICAL PHYSICS

      Volume: 148 Issue: 12 Pages: 124502-124502

    • DOI

      10.1063/1.5025202

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Method for Studying Many-Particle Effects on Nonequilibrium Steady States2017

    • Author(s)
      Inoue Masao、Yoshimori Akira
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 7 Pages: 074604-074604

    • DOI

      10.7566/jpsj.86.074604

    • NAID

      210000134438

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reciprocal relation related with the violation of the fluctuation-response relation in a driven diffusive system2017

    • Author(s)
      Yamada Kazuo, Yoshimori Akira
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 117 Pages: 20005-20005

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reciprocal relation related with the violation of the fluctuation-response relation in a driven diffusive system2017

    • Author(s)
      K. Yamada and A. Yoshimori
    • Journal Title

      Europhysics letter

      Volume: 117 Issue: 2 Pages: 20005-20005

    • DOI

      10.1209/0295-5075/117/20005

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Dynamics of the entropic insertion of a large sphere into a cylindrical vessel2016

    • Author(s)
      Ryohei Hara, Ken-ichi Amano, Masahiro Kinoshita, and Akira Yoshimori
    • Journal Title

      The Journal of Chemical Physics

      Volume: 144 Issue: 10 Pages: 105103-105103

    • DOI

      10.1063/1.4943394

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effects of interactions between depletants in phase diagrams of binary hard-sphere systems2016

    • Author(s)
      A. Suematsu, A. Yoshimori and R. Akiyama
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 116 Issue: 3 Pages: 38004-38004

    • DOI

      10.1209/0295-5075/116/38004

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 動的密度汎関数理論を用いた多成分溶媒系の粘性の理論2021

    • Author(s)
      荒井翔太, 吉森明
    • Organizer
      日本物理学会第76回年次大会(2021年)
    • Related Report
      2020 Annual Research Report
  • [Presentation] コロイド分散系の拡散におけるスティック境界条件の破れ2020

    • Author(s)
      中村有花, 吉森明A, 秋山良
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 溶媒多成分系における枯渇力と粘性の理論2020

    • Author(s)
      荒井翔太, 中村有花A, 吉森明, 秋山良
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] ブラウン運動する双極子の粗視化方程式2019

    • Author(s)
      吉森明
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Microscopic expressions of boundary conditions in Stokes’ law2019

    • Author(s)
      吉森明
    • Organizer
      THE BERKELEY STATISTICAL MECHANICS MEETING
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 溶液中の分子の摩擦に対する外場の効果2019

    • Author(s)
      吉森 明
    • Organizer
      物理学会
    • Related Report
      2018 Research-status Report
  • [Presentation] 拡散係数のStokes-Einstein 則からのずれに対するミクロな表式2018

    • Author(s)
      吉森明
    • Organizer
      物理学会
    • Related Report
      2018 Research-status Report
  • [Presentation] 拡散係数のStokes-Einstein則からのずれに対するミクロな表式2018

    • Author(s)
      吉森明
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Perturbation methods for deriving microscopically the Stokes-Einstein law2017

    • Author(s)
      吉森明
    • Organizer
      The 11th Mini-Symposium on Liquids
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Boundary conditions and correlation functions for Stokes’ law2017

    • Author(s)
      Yoshimori A
    • Organizer
      Liquids 2017 10TH LIQUID MATTER CONFERENCE
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Microscopic Derivation of the Stokes Law from Hamiltonian Particle Systems2016

    • Author(s)
      Akira Yoshimori
    • Organizer
      STATPHYS26
    • Place of Presentation
      Lyon, France
    • Year and Date
      2016-07-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research

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Published: 2016-04-21   Modified: 2022-01-27  

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