TY  - JOUR
A1  - Sposini, Vittoria
A1  - Chechkin, Aleksei V.
A1  - Metzler, Ralf
T1  - First passage statistics for diffusing diffusivity
JF  - Journal of physics : A, Mathematical and theoretical
N2  - A rapidly increasing number of systems is identified in which the stochastic motion of tracer particles follows the Brownian law < r(2)(t)> similar or equal to Dt yet the distribution of particle displacements is strongly non-Gaussian. A central approach to describe this effect is the diffusing diffusivity (DD) model in which the diffusion coefficient itself is a stochastic quantity, mimicking heterogeneities of the environment encountered by the tracer particle on its path. We here quantify in terms of analytical and numerical approaches the first passage behaviour of the DD model. We observe significant modifications compared to Brownian-Gaussian diffusion, in particular that the DD model may have a faster first passage dynamics. Moreover we find a universal crossover point of the survival probability independent of the initial condition.
KW  - diffusion
KW  - superstatistics
KW  - first passage
Y1  - 2018
U6  - https://doi.org/10.1088/1751-8121/aaf6ff
SN  - 1751-8113
SN  - 1751-8121
VL  - 52
IS  - 4
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -