A two-dimensional model of trapping reactions with Gaussian coils

Abstract We study the kinetics of trapping reactions A + B→B in the special case when traps are attached to segments of immobile Gaussian coils randomly distributed on a surface. We obtain novel expressions for the trap-free cavity size distribution and the dependences describing the temporal behavior of the survival probability of the diffusing particles. We show that these analytical dependences are in good agreement with numerical simulation results.