Entropic Effects of Interacting Particles Diffusing on Spherical Surfaces

We present a molecular dynamics and theoretical study on the diffusion of interacting particles embedded surface sphere. By proposing five different interaction potentials among particles, we perform simulations calculate mean square displacement (MSD) tracer under crowded regime high density. Results for all show four behaviors passing from ballistic transitory at very short times, to sub-diffusive saturation intermediary long times. Making use irreversible thermodynamics theory, also model last two stages showing that crowding induces sub-diffusion process similar caused by trapped in cages, MSD is due existence an entropic potential limits number accessible states particles. discussing convenience projecting motions over plane observation, consistent with experimental capabilities, compare predictions our these are remarkably well described qualitative quantitative terms.