Reaction and particle distribution in networks of single-file systems

A quadratic network of mutually intersecting channels with single-file conf inement is considered as a host system for molecules A undergoing a unidire ctional reaction A --> B in the channel intersections. If each of the two s ets of perpendicular channels is able to accommodate only one of the two ty pes of molecular species, the overall particle concentration deviates signi ficantly from being homogeneous. Under these conditions, the effective reac tivity may substantially exceed that in an equivalent system without mutual particle exclusion.