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The traffic-like collective movement of ants on a trail can be described by astochastic cellular automaton model. We have earlier investigated its unusualflow-density relation by using various mean field approximations and computersimulations. In this paper, we study the model following an alternativeapproach based on the analogy with the zero range process, which is one of thefew known exactly solvable stochastic dynamical models. We show that our theorycan quantitatively account for the unusual non-monotonic dependence of theaverage speed of the ants on their density for finite lattices with periodicboundary conditions. Moreover, we argue that the model exhibits a continuousphase transition at the critial density only in a limiting case. Furthermore,we investigate the phase diagram of the model by replacing the periodicboundary conditions by open boundary conditions.Comment: 8 pages, 6 figure

Collective Traffic-like Movement of Ants on a Trail: Dynamical Phases and Phase Transitions