Results for Nonlinear Diffusion Equations with Stochastic Resetting.
Entropy (Basel)
; 25(12)2023 Dec 12.
Article
in En
| MEDLINE
| ID: mdl-38136527
ABSTRACT
In this study, we investigate a nonlinear diffusion process in which particles stochastically reset to their initial positions at a constant rate. The nonlinear diffusion process is modeled using the porous media equation and its extensions, which are nonlinear diffusion equations. We use analytical and numerical calculations to obtain and interpret the probability distribution of the position of the particles and the mean square displacement. These results are further compared and shown to agree with the results of numerical simulations. Our findings show that a system of this kind exhibits non-Gaussian distributions, transient anomalous diffusion (subdiffusion and superdiffusion), and stationary states that simultaneously depend on the nonlinearity and resetting rate.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Entropy (Basel)
Year:
2023
Document type:
Article
Affiliation country:
Brasil