Related Experiment Video
Updated: Jun 2, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Microscopic mean-field theory of the jamming transition
Hugo Jacquin1, Ludovic Berthier, Francesco Zamponi
1Laboratoire Matière et Systèmes Complexes, UMR CNRS 7057, Université Paris Diderot-Paris 7, 10 rue Alice Domon et Léonie Duquet, 75205 Paris cedex 13, France.
Abstract:
Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions by using equilibrium statistical mechanics and develop a fully microscopic, mean-field theory of the jamming transition for soft repulsive spherical particles. We derive analytically some of the scaling laws and exponents characterizing the transition and obtain new predictions for microscopic correlation functions of jammed states that are amenable to experimental verifications and whose accuracy we confirm by using computer simulations.
More Related Videos
Related Concept Videos
Transition State Theory
Phase Transitions: Melting and Freezing
Theory of Metallic Conduction
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Basic Postulates of Kinetic Molecular Theory: Particle Size, Energy, and Collision
First Law: Particles in One-dimensional Equilibrium

