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Journals / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 3

Potss model with two competing binary interactions

Nasir GANIKHODJAEV
Hasan AKIN
Seyit TEMİR
Pages
229–238
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We exactly solve a problem of phase transitions for the model,namely we calculate critical surface such that there is a phase transition above it,and a single Gibbs state found elsewhere.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered.
📊
Key Findings & Data:The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered.
💡
Conclusion & Impact:We exactly solve a problem of phase transitions for the model,namely we calculate critical surface such that there is a phase transition above it,and a single Gibbs state found elsewhere.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered. We exactly solve a problem of phase transitions for the model,namely we calculate critical surface such that there is a phase transition above it,and a single Gibbs state found elsewhere.

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Cite This Article

GANIKHODJAEV, N., AKIN, H., TEMİR, S. (2022). Potss model with two competing binary interactions. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 3, 229–238. https://ajindex.com/articles/608667

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