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
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Objective & Hypothesis:The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered.
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Key Findings & Data:The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered.
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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:Potts model · competing interactions · Gibbs measure
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.
Özet
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.
GANIKHODJAEV, N. (2007). Potts Model with two Competing Binary Interactions. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 3, 229–238. https://ajindex.com/articles/723389