New Temporal Asymptotics of the Survival Probability in the Capture of Particles in Traps in Media with Anomalous Diffusion

The problem of capture of particles experiencing normal diffusion as well as anomalous subdiffusion to absorbing traps has been investigated. It is shown that two characteristic diffusion times (and, accordingly, three time intervals) emerge in such a problem. It is established that new temporal (power-law and fractional-exponential) asymptotic forms of the particle survival probability appear in these intervals, which are determined by the character of diffusion of particles in strongly anisotropic media.