  Single-file diffusion (SFD) of an infinite one-dimensional chain of
interacting particles has a long-time mean-square displacement (MSD) ~t^1/2,
independent of the type of inter-particle repulsive interaction. This behavior
is also observed in finite-size chains, although only for certain intervals of
time t depending on the chain length L, followed by the ~t for t->infinity, as
we demonstrate for a closed circular chain of diffusing interacting particles.
Here we show that spatial correlation of noise slows down SFD and can result,
depending on the amount of correlated noise, in either subdiffusive behavior
~t^alpha, where 0<alpha<1/2, or even in a total suppression of diffusion (in
the limit N-> infinity). Spatial correlation can explain the subdiffusive
behavior in recent SFD experiments in circular channels.
