Abstract
We use generating functions to analyze the kinetics of the reaction where and correspond, respectively, to particles that are traps or "sources." For an arbitrary configuration and strengths of static 's and mobile 's, an exact formal expression for the kinetics of the reaction is derived. This solution yields either exponential growth, power-law growth or decay, or no growth asymptotically, depending on the configuration and strength of the 's.
- Received 25 June 1984
DOI:https://doi.org/10.1103/PhysRevA.30.3362
©1984 American Physical Society