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Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension

Thomas Masser·Daniel ben Avraham
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Abstract

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.

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Thomas Masser, Daniel ben Avraham. 2000-08-30. Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension. https://doi.org/10.1016/s0375-9601(00)00622-8

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