A study was made of non-Arrhenius behavior when near to the second-order phase transition boundary of an adsorbate layer. Contrary to predictions which were upon macroscopic thermodynamic effects, it was showed that this behavior could be related to the average microscopic jump rate. This, in turn, was governed by the waiting-time distribution of single-particle jumps at short times. At long times, the waiting-time distribution revealed a barrier that corresponded to the rate-limiting step of diffusion.

I.Vattulainen, J.Merikoski, T.Ala-Nissila, S.C.Ying: Physical Review Letters, 1997, 79[2], 257-60