Quasi one-dimensional non-passing self-diffusion

Anomalous diffusion of fluids in a restricted geometry which forbids passing of one fluid particle by another has been studied for many years. The detailed dependence of the mobility factor of the single-file diffusion on relevant parameters beyond the strictly one-dimensional limit is not well understood. In this paper, we study the mobility factor of single-file diffusion fluids interacting with a hard potential in two-dimensional pores. We present a rationale for a theory of the dynamic mobility in terms of the equilibrium equation of state, and make preliminary comparison with Monte Carlo simulations of hard discs in a channel.