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

Potss model with two competing binary interactions

Nasir GANIKHODJAEV
Hasan AKIN
Seyit TEMİR
Sayfa
229–238
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered.
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Temel Bulgular & Veri:The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered.
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Sonuç & Katkı: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.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (10)

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  3. Ganikhodjaev, N.N., Pah, C.H. and Wahiddin, M.R.: An Ising model with three competing interactins on a Cayley tree, Journal of Math. Phys. 45, 3645-3658 (2004)
  4. Georgii, H.O.: Gibbs measures and phase transitions,De Gruyter studies in Mathematics. V
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  7. Mariz, M., Tsalis, C. and Albuduerque, A.L.: Phase diagram of the Ising model on a Cayley tree in the presence of competing interactions and magnetic field, Jour. of Stat. Phys. 40,577-592 (1985)
  8. Preston, K.: Gibbs states on Countable Sets, Cambridge Univ. Press, London, 1974. [8] da Silca, C.R. and Coutinho, S.: Ising model on the Bethe lattice with competing interactions up to the third-nearest -neighbor generation, Phys. Rev. B. 34, 7975-7985 (1986)
  9. Spitzer, F.: Markov random fields on an infinite tree, Ann. Prob. 3, 387-398 (1975)
  10. Wu, F.Y.: The Potts model, Rev. Mod. Phys. 54,235-268 (1982).