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

Thomas Masser, Daniel ben Avraham

Published 2000-08-30Version 1

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.

Comments: 4 pages, RevTeX, submitted to Phys. Lett. A
Journal: Phys. Lett. A 275, 382-385 (2000)
Categories: cond-mat.stat-mech
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