Survival probabilities in the double trapping reaction A +B -> B, B + C -> C

TL;DR

This paper analyzes the survival probabilities of particles in a one-dimensional double trapping reaction, considering various diffusion constants and initial densities, providing more general results than previous studies.

Contribution

It introduces a more general analytical framework for calculating survival probabilities in the double trapping reaction with variable parameters.

Findings

Derived formulas for survival probabilities under different conditions

Extended previous models to more general cases

Provided insights into the effects of diffusion constants and initial densities

Abstract

We consider the double trapping reaction A + B -> B, B + C -> C in one dimension. The survival probability of a given A particle is calculated under various conditions on the diffusion constants of the reactants, and on the ratio of initial B and C particle densities. The results are of more general form than those obtained in previous work on the problem.