Subdiffusion–Superdiffusion Random-Field Transition.
- Resource Type
- Article
- Authors
- Iomin, Alexander
- Source
- Fractal & Fractional. Oct2023, Vol. 7 Issue 10, p745. 16p.
- Subject
- *RANDOM fields
*FOKKER-Planck equation
*GEOMETRY
- Language
- ISSN
- 2504-3110
A contaminant spreading affected by a random field at boundaries in the comb geometry is considered. The physical effect of the random boundary conditions results in increasing a transport exponent such that the mean squared displacement increases with time from t 1 2 to t 1 2 + 5 α / 2 for real 0 ≤ α ≤ 1 . This stochastic acceleration due to these space-time-dependent boundary conditions leads to a transition from subdiffusion to superdiffusion. Experimentally, it can be realized by controlling the boundary conditions of 2 D diffusion in the comb geometry. [ABSTRACT FROM AUTHOR]