Trapping with biased diffusion species

TL;DR

This paper investigates a one-dimensional lattice trapping reaction involving mobile species with drift, analyzing particle densities and distances through stochastic modeling and simulations, revealing detailed dynamics of the trapping process.

Contribution

It introduces a stochastic model for a biased diffusion trapping reaction with a single penetrable trap and validates it against numerical simulations.

Findings

Excellent agreement between model and simulations

Detailed density profiles from different reference frames

Insights into nearest neighbor distances to the trap

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.