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Effects of friction on jamming transition

Research Project

Project/Area Number 21K20355
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0202:Condensed matter physics, plasma science, nuclear engineering, earth resources engineering, energy engineering, and related fields
Research InstitutionGakushuin University

Principal Investigator

Ikeda Harukuni  学習院大学, 理学部, 助教 (30911763)

Project Period (FY) 2021-08-30 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2021: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords非平衡 / 相転移 / 粉体 / ジャミング転移 / レプリカ法 / 非平衡相転移 / 統計力学 / 統計物理 / 数値シミュレーション / レプリカ対称性の破れ
Outline of Research at the Start

砂粒や、穀物、ビー玉、M&Mキャンディー等の、マクロな構成粒子からなる粒の集まりを粉体と呼ぶ。粉体を圧縮していくと、ある密度で突然、有限の剛性を持ち固体のように振る舞い始める。これがジャミング転移と呼ばれる現象である。ジャミング転移は、粉体系を圧縮した際に普遍的に見られる現象であり、非平衡系における相転移の代表例として広く注目を集めている。本研究では、ジャミング転移における粒子間の摩擦の影響について、数値シミュレーションと理論計算を用いて研究する。

Outline of Final Research Achievements

A collection of macro particles, such as sands, grains, M&M candies, and so on, is referred to as a granular material. When a granular material is compressed, at a certain density, it suddenly begins to exhibit finite rigidity and behaves like a solid. This is the so-called jamming transition. The jamming transition is a universal phenomenon observed when granular systems are compressed, and it has been attracting a lot of attention as a representative example of phase transitions in non-equilibrium systems consisting of macroscopic particles. Near the jamming transition point, several physical quantities, such as pressure and stiffness, show power-law behavior, and at the transition point, correlation lengths and relaxation times diverge. In this work, we performed numerical simulation and mean-field calculations to deepen our understanding of these critical aspects of the jamming transition.

Academic Significance and Societal Importance of the Research Achievements

砂や、穀物を始めとして、我々の身の回りには、数多くの粉体が存在する。ジャミング転移は、この粉体を圧縮していった際に見られる普遍的な現象であり、粉体の粘弾性を理解する上で重要な役割を果たすことが期待される。また、粉体の流動化という点において、ジャミング転移は、雪崩や地震等とも類似した現象であり、これらの現象を理解する礎になる可能性がある。

Report

(3 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • Research Products

    (13 results)

All 2023 2022 2021 Other

All Int'l Joint Research (2 results) Journal Article (6 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 6 results) Presentation (5 results) (of which Int'l Joint Research: 1 results,  Invited: 4 results)

  • [Int'l Joint Research] 高等師範学校(フランス)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Duke University/Colorado State University(米国)

    • Related Report
      2021 Research-status Report
  • [Journal Article] Control parameter dependence of fluctuations near jamming2023

    • Author(s)
      Ikeda Harukuni
    • Journal Title

      The Journal of Chemical Physics

      Volume: 158 Issue: 5 Pages: 056101-056101

    • DOI

      10.1063/5.0127064

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bose-Einstein-like condensation of deformed random matrix: a replica approach2023

    • Author(s)
      Ikeda Harukuni
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2023 Issue: 2 Pages: 023302-023302

    • DOI

      10.1088/1742-5468/acb7d6

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Vibrational density of states of jammed packing at high dimensions: Mean-field theory2022

    • Author(s)
      Ikeda Harukuni、Shimada Masanari
    • Journal Title

      Physical Review E

      Volume: 106 Issue: 2 Pages: 024904-024904

    • DOI

      10.1103/physreve.106.024904

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mean-Field Caging in a Random Lorentz Gas2021

    • Author(s)
      Biroli Giulio、Charbonneau Patrick、Hu Yi、Ikeda Harukuni、Szamel Grzegorz、Zamponi Francesco
    • Journal Title

      The Journal of Physical Chemistry B

      Volume: 125 Issue: 23 Pages: 6244-6254

    • DOI

      10.1021/acs.jpcb.1c02067

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Finite-size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder2021

    • Author(s)
      Charbonneau Patrick、Corwin Eric I.、Dennis R. Cameron、D?az Hern?ndez Rojas Rafael、Ikeda Harukuni、Parisi Giorgio、Ricci-Tersenghi Federico
    • Journal Title

      Physical Review E

      Volume: 104 Issue: 1 Pages: 014102-014102

    • DOI

      10.1103/physreve.104.014102

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Testing mean-field theory for jamming of non-spherical particles: contact number, gap distribution, and vibrational density of states2021

    • Author(s)
      Ikeda Harukuni
    • Journal Title

      The European Physical Journal E

      Volume: 44 Issue: 9 Pages: 1-11

    • DOI

      10.1140/epje/s10189-021-00116-8

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Presentation] ガラス転移とジャミング転移の数値シミュレーションと平均場理論による研究2023

    • Author(s)
      池田晴國
    • Organizer
      日本物理学会2023年春季大会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Control parameter dependence of fluctuation near jamming2023

    • Author(s)
      池田晴國
    • Organizer
      Japan-France joint seminar "Physics of dense and active disordered materials"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] レプリカ液体論によるジャミング臨界現象の解析2022

    • Author(s)
      池田晴國
    • Organizer
      日本物理学会2022年秋季大会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 非球形粒子のジャミング転移2022

    • Author(s)
      池田 晴國
    • Organizer
      KEK IPNS-IMSS-QUP Joint workshop
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] 非球形粒子のジャミング転移の数値シミュレーションによる研究2021

    • Author(s)
      池田 晴國
    • Organizer
      日本物理学会
    • Related Report
      2021 Research-status Report

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Published: 2021-10-22   Modified: 2024-01-30  

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