Formation of networks — a lattice model for kinetic growth processes

TL;DRAbstract

Starting from a microscopical master equation for simple kinetic processes on a lattice (diffusion, aggregation, decomposition), an exact field theoretical representation for the gelation process was predicted. As a result of the renormalization group theory, one gets the critical dimension d c =6 and the same universality as in the random percolation for the diffusion limited gelation process and new universality class (also with d c =6) for the reaction limited gelation.

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