Noam Borgnia · Master's thesis under Noam Berger

Cluster–cluster model.

Clusters move together, merge on contact, and leave a tree of bonds behind.

Move together. Merge on contact.

A cluster of mass m attempts a move at rate m−α.

Each occupied site starts as a separate cluster. Opposite edges wrap around.

Clusters on a 768 by 768 lattice at 10 percent initial occupancy and time 25,000, alongside an enlarged central region.
768 × 768 lattice · 10% initial occupancy · α = 1 · t = 25,000