TY  - JOUR
A1  - Chechkin, Aleksei V.
A1  - Zaid, Irwin M.
A1  - Lomholt, Michael A.
A1  - Sokolov, Igor M.
A1  - Metzler, Ralf
T1  - Bulk-mediated diffusion on a planar surface full solution
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equations, we analytically obtain the propagator of the effective surface motion. This approach allows us to deduce a superdiffusive, Cauchy-type behavior on the surface, together with exact cutoffs limiting the Cauchy form. Moreover, we study the long-time dynamics for the surface motion.
Y1  - 2012
U6  - https://doi.org/10.1103/PhysRevE.86.041101
SN  - 1539-3755
VL  - 86
IS  - 4
PB  - American Physical Society
CY  - College Park
ER  -