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We consider the ferromagnetic q-state Potts model with zero external field ina finite volume evolving according to Glauber-type dynamics described by theMetropolis algorithm in the low temperature asymptotic limit. Our analysisconcerns the multi-spin system that has q stable equilibria. Focusing on gridgraphs with periodic boundary conditions, we study the tunneling between twostable states and from one stable state to the set of all other stable states.In both cases we identify the set of gates for the transition and prove thatthis set has to be crossed with high probability during the transition.Moreover, we identify the tube of typical paths and prove that the probabilityto deviate from it during the transition is exponentially small.

Critical configurations and tube of typical trajectories for the Potts and Ising models with zero external field