%0 Journal Article %T Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension %A Thomas Masser %A Daniel ben Avraham %J Physics %D 2000 %I arXiv %R 10.1016/S0375-9601(00)00622-8 %X The kinetics of the q-state Potts model in the zero temperature limit in one dimension is analyzed exactly through a generalization of the method of empty intervals, previously used for the analysis of diffusion-limited coalescence, A+A->A. In this new approach, the q-state Potts model, coalescence, and annihilation (A+A->0) all satisfy the same diffusion equation, and differ only in the imposed initial condition. %U http://arxiv.org/abs/cond-mat/0008448v1