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Reinhard Höhler1, Sylvie Cohen-Addad1

  • 1Sorbonne Universités, UPMC Univ Paris 06, CNRS-UMR 7588, Institut des NanoSciences de Paris, 4 place Jussieu, 75005 Paris, France and Université Paris-Est Marne-la-Vallée, 5 Bd Descartes, Champs-sur-Marne, F-77454 Marne-la-Vallée cedex 2, France.

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Particle interactions in jammed packings are not always pairwise additive. Bubble volume conservation creates many-body couplings, altering mechanical responses and requiring new models for accurate predictions near jamming.

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Area of Science:

  • Soft Matter Physics
  • Computational Materials Science
  • Statistical Mechanics

Background:

  • Stress in jammed packings (foams, emulsions) relies on particle contacts.
  • Traditional models assume pairwise additive particle interactions.
  • This assumption simplifies analysis but may not reflect reality.

Purpose of the Study:

  • To investigate the validity of pairwise additivity in soft particle packings.
  • To explore the impact of bubble volume conservation on mechanical properties.
  • To develop a predictive model for the elastic response of these systems.

Main Methods:

  • Ab initio simulations of foam microstructures.
  • Analysis of ordered bubble packings (coordination numbers 6-12).
  • Development of a parameter-free analytical model.

Main Results:

  • Bubble volume conservation introduces significant many-body couplings.
  • This coupling modifies force-displacement relations beyond two-body interactions.
  • The analytical model accurately predicts mechanical response and many-body effects.
  • A novel logarithmic term describes scaling near the jamming transition.

Conclusions:

  • Pairwise additivity is insufficient for describing stress in these systems.
  • Many-body effects are crucial for understanding the mechanics of jammed foams.
  • The derived model offers a more accurate description, especially near jamming.