Asymptotic survival probability of a particle in reaction–diffusion process with exclusion in presence of traps

Reaction–diffusion processes with exclusion in the presence of static traps have been studied. The asymptotic survival probability for the case of uniformly distributed random traps in one dimension shows a stretched exponential behaviour. When exclusion is taken into account, an additional correction term is shown to appear in the stretched exponent. Analytically it is shown to be ~t1/6. A self-consistent Langevin dynamics simulation is used to study the problem numerically. Our numerical study suggests a correction to the stretched exponent close to the theoretical prediction.