The capture of particles on absorbing traps in the medium with anomalous diffusion: The effective fractional order diffusion equation and the slow temporal asymptotic of survival probability

Abstract

The new asymptotic behavior of the survival probability of particles, which move in the anomalous sub-diffusion way, in the medium with absolutely absorbing traps was established. The new power temporal behavior of the survival probability of diffusing particles at long times was obtained. This result is caused by the anomalous character of diffusion.