Kinetic Anomalies in Addition-Aggregation Processes

Details Kinetic Anomalies in Addition-Aggregation Processes Kinetic Anomalies in Addition-Aggregation Processes

2003-01-15

arxiv.org/abs/cond-mat/0301276v1

J. Phys. A 36, 4533-4542 (2003)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 column revtex4 format, for submission to J. Phys. A

Scientific paper

10.1088/0305-4470/36/16/304

We investigate irreversible aggregation in which monomer-monomer, monomer-cluster, and cluster-cluster reactions occur with constant but distinct rates K_{MM}, K_{MC}, and K_{CC}, respectively. The dynamics crucially depends on the ratio gamma=K_{CC}/K_{MC} and secondarily on epsilon=K_{MM}/K_{MC}. For epsilon=0 and gamma<2, there is conventional scaling in the long-time limit, with a single mass scale that grows linearly in time. For gamma >= 2, there is unusual behavior in which the concentration of clusters of mass k, c_k decays as a stretched exponential in time within a boundary layer kk*. When epsilon>0, analogous behaviors emerge for gamma<2 and gamma >= 2.

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