Translation-invariant extreme Gibbs measures for the Blume–Capel model with a wand on a Cayley tree

• Date: 2020
• Main Authors: Khatamov , N. M., Хатамов, Н. М.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2281
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.98 We study the translation-invariant Gibbs measures for the Blume–Capel model with a wand on a Cayley tree of order $k.$  We find the exact critical value $\theta_{cr}=1$ such that there exists a unique translation-invariant Gibbs measure for $\theta \geq\theta_{cr}$ and there...