The p-adic Potts model on the Cayley tree of order three

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• 作者：F. Mukhamedov (1)
  H. Akin (2)
  
• 关键词：p ; adic number ; Potts model ; p ; adic quasi ; Gibbs measure ; phase transition
• 刊名：Theoretical and Mathematical Physics
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：176
• 期：3
• 页码：1267-1279
• 全文大小：483KB
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• 作者单位：F. Mukhamedov (1)
  H. Akin (2)
  
  1. Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University, Malaysia, Pahang, Malaysia
  2. Faculty of Education, Zirve University, Gaziantep, Turkey
  
• ISSN：1573-9333

文摘

We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition.