Sorption–desorption, surface diffusion, and memory effects in a 3D system

Abstract

Bio and nature behavior-inspired modelling of diffusion and trapping of particles, key phenomena for life occurrence, must consider a myriad of ingredients, such as geometry, dimensionality, and scaled diffusion processes occurring across the bulk and surfaces. To attempt to approach this goal, we investigate the diffusion process in a system limited by a surface connected to the bulk through an especially designed boundary condition, connected to some systems of interest, such as in living cells and biomaterials. The surface may sorb/desorb particles from the bulk and shows that the sorbed particles may diffuse within its structure, characterizing a lateral diffusion, before being desorbed back to the bulk. For this system, we find a wide variety of behaviors by analyzing solutions obtained in terms of the Green function approach. The analytical calculation is checked against computer simulations, demonstrating a good agreement between analytical calculation and stochastic computer simulation.

Non-Markovian Diffusion and Adsorption–Desorption Dynamics: Analytical and Numerical Results

“…These findings extend previous work in [45,46] by incorporating bulk inhomogeneity and surface diffusion. We believe the results presented here can contribute to the study of diffusion processes with surface adsorption-desorption and the possibility of surface diffusion.…”