Trapping with biased diffusion species

Abstract

We analyze a trapping reaction with a single penetrable trap, in a one dimensional lattice, where both species (particles and trap) are mobile and have a drift velocity. We obtain the density as seen from a reference system attached to the trap and from the laboratory frame. In addition we study the nearest neighbor distance to the trap. We exploit a stochastic model previously developed, and compare the results with numerical simulations, resulting in an excellent agreement.