Details

Autor(en) / Beteiligte

• Mukhamedov, Farrukh
• Pah, Chin Hee
• Jamil, Hakim
• Rahmatullaev, Muzaffar

Titel

On ground states and phase transition for λ-model with the competing Potts interactions on Cayley trees

Ist Teil von

• Physica A, 2020-07, Vol.549, p.124184, Article 124184

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2020

Quelle

Elsevier ScienceDirect Journals

Beschreibungen/Notizen

• In this paper, the λ-model with nearest neighbor interactions is considered with competing Potts interactions on the Cayley tree of order-two. Notice that if λ-function is taken as a Potts interaction function, then this model reduces to the Potts model with competing interactions. The Potts model with considered interactions has only been numerically investigated, hence we aim to propose a measure-theoretical approach for the considered model in a more general setting. Therefore, first ground states of the model are described. Furthermore, certain conditions for the existence of Gibbs measures corresponding to the model are found, which allows the establishment of the existence of the phase transition. •Measure-theoretical investigation of λ-model with competing Potts interactions.•Describe ground states of the model.•The existence of Gibbs measures by means of recursive equations.•Establish the phase transition by using the existence of at least two Gibbs measures.