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

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.

Automated summary

The study focuses on the modeling of diffusion and trapping of particles inspired by biology and natural behavior, particularly in systems connected by surfaces to bulk, such as living cells and biomaterials. The research finds a variety of behaviors through analytical calculations and computer simulations, showing a good agreement between the two methods.