Abstract
The kinetics of stress-assisted precipitation on dislocations is investigated on the basis of a two-dimensional lattice analog of Ham's parallel-cylinder model. The rate of precipitation was calculated for site fractions of sinks up to 0.25 by exact methods (for small systems containing up to 36 sinks) and by several approximate methods. For a random array of sinks the rate of precipitation was found to be much slower than the first-order kinetics appropriate to a periodic array, contrary to a common belief.