Particle Clusters (Monte Carlo)

Cluster Size Distribution c(k, t)

Total Mass & Gelation

Simulation

Coagulation Kernel

K(i,j) = i·j

Parameters

Time: 0.000
Clusters: 500
Largest Cluster: 1
Total Mass: 500
Gelation: No
Gelation: With superlinear kernels like K(i,j) = i·j, a "gel" (infinite cluster) forms in finite time — mass suddenly disappears from the finite clusters!