Jamming Transition — Random Close Packing

Watch hard disks compress until they jam. At the jamming point φ_J ≈ 0.64, motion freezes and pressure diverges — a geometric phase transition with no thermal fluctuations.

System

Controls

Packing fraction φ0.00
Overlaps0
Z contacts/particle0.0
StateFluid
Jamming (Point J)
Frictionless spheres jam at φ_J ≈ 0.64 (3D) or ≈ 0.84 (2D). At jamming, the contact number Z → Z_iso = 2d (isostatic). Below J: fluid flow. Above J: rigid, amorphous solid.

Key insight: The jamming transition controls granular matter, colloids, foams, and biological tissues — all without thermal energy.