Smoluchowski Coagulation & Fragmentation
Cluster aggregation dynamics — watch particles merge and break
Parameters
Coagulation rate:
0.5
Fragmentation rate:
0.2
Kernel type:
Constant
Sum (linear)
Product (runaway)
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Clusters
0
Max size
0
Mean size
0
Monomers
Smoluchowski equation:
dn_k/dt = ½Σ K(i,j)n_i n_j − n_k Σ K(k,j)n_j
Clusters coagulate with rate K(i,j). With product kernel (K=ij), a
gelation transition
occurs — one cluster absorbs all mass in finite time.