TY  - JOUR
A1  - Dzhanoev, Arsen R.
A1  - Sokolov, Igor M.
T1  - The effect of the junction model on the anomalous diffusion in the 3D comb structure
JF  - Chaos, solitons & fractals : applications in science and engineering ; an interdisciplinary journal of nonlinear science
N2  - The diffusion in the comb structures is a popular model of geometrically induced anomalous diffusion. In the present work we concentrate on the diffusion along the backbone in a system where sidebranches are planes, and the diffusion thereon is anomalous and described by continuous time random walks (CTRW). We show that the mean squared displacement (MSD) in the backbone of the comb behaves differently depending on whether the waiting time periods in the sidebranches are reset after the step in the backbone is done (a rejuvenating junction model), or not (a non-rejuvenating junction model). In the rejuvenating case the subdiffusion in the sidebranches only changes the prefactor in the ultra-slow (logarithmic) diffusion along the backbone, while in the non-rejuvenating case the ultraslow, logarithmic subdiffusion is changed to a much faster power-law subdiffusion (with a logarithmic correction) as it was found earlier by Iomin and Mendez [25]. Moreover, in the first case the result does not change if the diffusion in the backbone is itself anomalous, while in the second case it does. Two of the special cases of the considered models (the non-rejuvenating junction under normal diffusion in the backbone, and rejuvenating junction for the same waiting time distribution in the sidebranches and in junction points) were also investigated within the approach based on the corresponding generalized Fokker-Planck equations. (c) 2017 Elsevier Ltd. All rights reserved.
KW  - Comb model
KW  - Comb-lattice model
KW  - Cylindrical comb
KW  - Junction model
KW  - Anomalous diffusion
Y1  - 2017
U6  - https://doi.org/10.1016/j.chaos.2017.12.001
SN  - 0960-0779
SN  - 1873-2887
VL  - 106
SP  - 330
EP  - 336
PB  - Elsevier
CY  - Oxford
ER  -