Cayley树上两态Hard-Core模型的一类新的Gibbs测度

Pub Date : 2023-06-06 DOI:10.1142/s0219025723500248

R. Khakimov, M. T. Makhammadaliev, F. Haydarov

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引用次数: 0

摘要

本文考虑Cayley树上具有两个自旋值的Hard-Core $(HC)$模型。引入了备选吉布斯测度的概念，并给出了备选吉布斯测度的平移不变性条件。此外，我们还证明了非平移不变的吉布斯测度的存在性。此外，我们还研究了模型的自由能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New class of Gibbs measures for two state Hard-Core model on a Cayley tree

In this paper, we consider a Hard-Core $(HC)$ model with two spin values on Cayley trees. The conception of alternative Gibbs measure is introduced and translational invariance conditions for alternative Gibbs measures are found. Also, we show that the existence of alternative Gibbs measures which are not translation-invariant. In addition, we study free energy of the model.

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