Motion and capture in the presence of cooperative trap interactions II: Exact calculations for perfect absorbers in one dimension

Exact calculations are presented for the survival fraction and other capturerelated observables in a problem involving migration on a one-dimensional lattice containing perfectly absorbing traps whose placement within the crystal is determined by explicit interactions among the trap molecules. These interactions, which are treated exactly in a lattice-gas model, may be attractive, in which case they lead to trap cluster formation and a reduction of the trapping efficiency, or they may be repulsive thus leading to increased separation of the trap molecules and an enhancement of the trapping process.Supported in part by the National Science Foundation under Grant Nos. DMR-8111434 and INT-8210098.