Abstract
An energy analysis of the ground state in the triangular lattice three-state Potts model is conducted with allowance for the contribution of the nearest and next-nearest neighbors having interaction values J1 and J2. The ranges of existence of ordered and disordered phases in the spin structures described by this model, with the interaction values J1 < 0, J2 < 0 and J1 > 0, J2 < 0, are inferred from the numerical experiment.
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