Can the jamming transition be described using equilibrium statistical mechanics?
arXiv:1011.5637 · doi:10.1088/1742-5468/2011/01/P01004
Abstract
When materials such as foams or emulsions are compressed, they display solid behaviour above the so-called `jamming' transition. Because compression is done out-of-equilibrium in the absence of thermal fluctuations, jamming appears as a new kind of a nonequilibrium phase transition. In this proceeding paper, we suggest that tools from equilibrium statistical mechanics can in fact be used to describe many specific features of the jamming transition. Our strategy is to introduce thermal fluctuations and use statistical mechanics to describe the complex phase behaviour of systems of soft repulsive particles, before sending temperature to zero at the end of the calculation. We show that currently available implementations of standard tools such as integral equations, mode-coupling theory, or replica calculations all break down at low temperature and large density, but we suggest that new analytical schemes can be developed to provide a fully microscopic, quantitative description of the jamming transition.
8 pages, 6 figs. Talk presented at Statphys24 (July 2010, Cairns, Australia)
References in corpus (25)
- Is Random Close Packing of Spheres Well Defined?
- Mean field theory of hard sphere glasses and jamming
- Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
- Random Packings of Frictionless Particles
- The structural glass transition and the entropy of the metastable states
- Effects of compression on the vibrational modes of marginally jammed solids
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Thermodynamics of glasses: a first principle computation
- Mean Field Fluid Behavior of the Gaussian Core Model
- Unexpected Density Fluctuations in Jammed Disordered Sphere Packings
- Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
- Fluid and solid phases of the Gaussian core model
- The glass transition of dense fluids of hard and compressible spheres
- A first principle computation of the thermodynamics of glasses
- A Landscape Analysis of Constraint Satisfaction Problems
- A statistical mechanics framework for static granular matter
- Compressing nearly hard sphere fluids increases glass fragility
- A tentative Replica Study of the Glass Transition
- Structural signatures of the unjamming transition at zero temperature
- Increasing the density melts ultrasoft colloidal glasses
- Jamming as a critical phenomenon: a field theory of zero-temperature grain packings
- Ensemble Theory for Force Networks in Hyperstatic Granular Matter
- Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder"
- Anomalous structural evolution of soft particles: Equibrium liquid state theory
- Scaling of the glassy dynamics of soft repulsive particles: a mode-coupling approach