Anomalously slow trapping of nonidentical interacting particles by random sinks

We find an anomalously slow trapping rate Q̇ for trapping of nonidentical interacting particles in topologically linear systems with randomly distributed sinks which are selective for particles below a critical radius $r_S$. The particles have an arbitrary size distribution and interact by a hard-core repulsion. Our quantitative result, Q̇∼exp(-${\mathrm{At}}^{1/5}$), is general, and the amplitude A can be tuned since it depends on the concentration of the nontrappable particles.