Modelling diffusive transport of particles interacting with slit nanopore walls: The case of fullerenes in toluene filled alumina pores

•Fullerenes (C60 and C70) in toluene filled alumina slit pore are simulated with molecular dynamics.•A theoretical model for the residence probabilities of nanoparticles in nanopores is proposed.•Diffusion profiles across the pore are calculated and compared to model predictions.