We consider the coagulation dynamics $A+A\to A$ and $A+A\rightleftharpoons A$ and the annihilation dynamics $A+A\to 0$ for particles moving subdiffusively in one dimension. This scenario combines the “anomalous kinetics” and “anomalous diffusion” problems, each of which leads to interesting dynamics separately and to even more interesting dynamics in combination. Our analysis is based on the fractional diffusion equation.

• Received 2 April 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.118301