# Experimental study of forces between quasi-two-dimensional emulsion droplets near jamming

@article{Desmond2013ExperimentalSO, title={Experimental study of forces between quasi-two-dimensional emulsion droplets near jamming}, author={Kenneth W. Desmond and Pearl J. Young and Dandan Chen and Eric R. Weeks}, journal={Soft Matter}, year={2013}, volume={9}, pages={3424-3436} }

We experimentally study the jamming of quasi-two-dimensional emulsions. Our experiments consist of oil-in-water emulsion droplets confined between two parallel plates. From the droplet outlines, we can determine the forces between every droplet over a wide range of area fractions ϕ. We study three bidisperse samples that jam at area fractions ϕc ≈ 0.86. Our data show that for ϕ > ϕc, the contact numbers and pressure have power-law dependence on ϕ − ϕc in agreement with the critical scaling…

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## References

SHOWING 1-10 OF 55 REFERENCES

Topological rearrangements and stress fluctuations in quasi-two-dimensional hopper flow of emulsions

- Materials Science, Physics
- 2012

We experimentally study the shear flow of oil-in-water emulsion droplets in a thin sample chamber with a hopper shape. In this thin chamber, the droplets are quasi-2D in shape. The sample is at an…

Measurement of Forces Inside a Three-Dimensional Pile of Frictionless Droplets

- Materials Science, ChemistryScience
- 2006

It is found that piles whose height was comparable to the chain persistence length exhibited substantially greater strain hardening than did tall piles, which were attributed to the force chains.

3D bulk measurements of the force distribution in a compressed emulsion system.

- Materials Science, MedicineFaraday discussions
- 2003

The simplest form of the Boltzmann equation for the probability of force distributions predicts P(f) to be of the form e(-f/p), where p is proportional to the mean force f for large forces, in good agreement with experimental and simulated data.

Contact force measurements and stress-induced anisotropy in granular materials

- Physics, MedicineNature
- 2005

Measurements of the normal and tangential grain-scale forces inside a two-dimensional system of photoelastic disks that are subject to pure shear and isotropic compression show the underlying differences between these two stress states.

TOPICAL REVIEW: Jamming of soft particles: geometry, mechanics, scaling and isostaticity

- Physics, Chemistry
- 2009

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we…

Jamming at zero temperature and zero applied stress: the epitome of disorder.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

The results provide a well-defined meaning for "random close packing" in terms of the fraction of all phase space with inherent structures that jam, and suggest that point J is a point of maximal disorder and may control behavior in its vicinity-perhaps even at the glass transition.

Bubble-scale model of foam mechanics:mMelting, nonlinear behavior, and avalanches

- Physics
- 1997

By focusing on entire gas bubbles, rather than soap films or vertices, a microscopic model was recently developed for the macroscopic deformation and flow of foam in which dimensionality, energy…

Fluctuations in granular media.

- Physics, MedicineChaos
- 1999

The force distributions computed from the 3D stress time series are at least qualitatively consistent with exponential fall-off at large stresses.

Highly concentrated emulsions. II. Real systems. The effect of film thickness and contact angle on the volume fraction in creamed emulsions

- Materials Science
- 1980

Abstract Several aspects of a previously developed two-dimensional theory are extended to real, though monodisperse, emulsions. Specifically, the volume fraction φ 0 of the dispersed phase in…

Model for the elasticity of compressed emulsions.

- Physics, MedicinePhysical review letters
- 1996

A new effective inter-droplet potential is proposed which is used to determine the elastic response of a monodisperse collection of disordered droplets as a function of volume fraction, and suggests that anharmonicity and disorder are responsible for the quasi-linear increase of G and Pi observed at $\varphi_c".