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The kinetic Potts chain and related potts models with competing interactions

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Abstract

We consider a general kinetic model for a chain of three-state Potts spins. From the time-evolution operator we infer points in two-dimensional Potts systems where certain spin correlations have one-dimensional character and the model is exactly solvable. This occurs in square lattice models with different kinds of competing interactions.

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Peschel, I., Truong, T.T. The kinetic Potts chain and related potts models with competing interactions. J Stat Phys 45, 233–244 (1986). https://doi.org/10.1007/BF01033089

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  • DOI: https://doi.org/10.1007/BF01033089

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