Abstract
An exact algorithm is formulated to calculate the expected walk length for a walker (atom, molecule) undergoing random displacements on a finite or infinite (periodic) -dimensional lattice with traps (reactive sites). The method is illustrated for the case of a single deep trap surrounded by shallow traps and the calculated value of agrees to within 0.3% of the Monte Carlo result for all lattices considered. The theory introduced is capable of generalization to many new classes of problems in lattice statistics.
- Received 28 August 1981
DOI:https://doi.org/10.1103/PhysRevLett.47.1500
©1981 American Physical Society