Sorption-Desorption, Surface diffusion, and Memory Effects in a 3D System

Sorption-Desorption, Surface diffusion, and Memory Effects in a 3D System

P. M. Ndiaye, F. W. Tavares, E. K. Lenzi, L. R. Evangelista, H. V. Ribeiro, D. Marin, L. M. S. Guilherme, R. S. Zola, J. Stat. Mech. (Accepted, 2021). PDF | DOI

Bio and nature behaviors 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 bio-materials. The surface may sorb/desorb particles from the bulk and admits 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 behavior 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.