Phase diagram of the Potts model in an external magnetic field

Abderahim Bakchich; Abdelilah Benyoussef; Lahoussine Laanait

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 50, Issue: 1, page 17-35
  • ISSN: 0246-0211

How to cite

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Bakchich, Abderahim, Benyoussef, Abdelilah, and Laanait, Lahoussine. "Phase diagram of the Potts model in an external magnetic field." Annales de l'I.H.P. Physique théorique 50.1 (1989): 17-35. <http://eudml.org/doc/76433>.

@article{Bakchich1989,
author = {Bakchich, Abderahim, Benyoussef, Abdelilah, Laanait, Lahoussine},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Potts models; inverse temperature; zero field transition point; surface tensions between coexisting phases},
language = {eng},
number = {1},
pages = {17-35},
publisher = {Gauthier-Villars},
title = {Phase diagram of the Potts model in an external magnetic field},
url = {http://eudml.org/doc/76433},
volume = {50},
year = {1989},
}

TY - JOUR
AU - Bakchich, Abderahim
AU - Benyoussef, Abdelilah
AU - Laanait, Lahoussine
TI - Phase diagram of the Potts model in an external magnetic field
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 50
IS - 1
SP - 17
EP - 35
LA - eng
KW - Potts models; inverse temperature; zero field transition point; surface tensions between coexisting phases
UR - http://eudml.org/doc/76433
ER -

References

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  1. [1] R.B. Potts, Proc. Camb. Phil. Soc., t. 48, 1952, p. 106. Zbl0048.45601MR47571
  2. [2] E. Ising, Z. Phys., t. 21, 1925, p. 613. 
  3. [3] F.Y. Wu, Rev. Mod. Phys., t. 54, 1982, p. 235. MR641370
  4. [4] R. Baxter, J. Phys., t. C 6, 1973, L 445. 
  5. [5] J.P. Straley and M.E. Fisher, J. Phys., t. A6, 1973, p. 1310. 
  6. [6] D. Kim and R.I. Joseph, J. Phys., t. A 8, 1975, p. 891. 
  7. [7] R. Kotecky, L. Laanait, A. Messager and J. Ruiz, Preprint CPT-86/P. 1948, Marseille. 
  8. [8] S.A. Pirogov and Ya.G. Sinai, Theor. Math. Phys., t. 25, 1975, p. 1185. 
  9. [9] S.A. Pirogov and Ya.G. Sinai, Theor. Math. Phys., t. 26, 1975, p. 39. 
  10. [10] C.N. Yang and T.D. Lee, Phys. Rev., t. 87, 1952, p. 404. Zbl0048.43305
  11. [11] M. Suzuki and M.E. Fisher, J. Math. Phys., t. 12, 1971, p. 235. 
  12. [12] Y.Y. Goldschmidt, Phys. Rev., t. B 24, 1980, p. 1374. 
  13. [13] L. Mittag and M.J. Stephen, J. Phys., t. A 7, 1974, L 109. 
  14. [14] P.A. Pearce and R.B. Griffiths, J. Phys., t. A 13, 1980, p. 2143. 
  15. [15] F. Di Leberto, G. Monroy and F. Peruggi, Physica, t. A 141, 1987, p. 151. MR879715
  16. [16] L. Laanait, A. Messager and J. Ruiz, Comm. Math. Phys., t. 105, 1986, p. 527. MR852089
  17. [17] R. Kotecky and S.B. Shlosman, Comm. Math. Phys., t. 83, 1982, p. 493. MR649814
  18. [18] J. Bricmont, K. Kuroda and J.L. Lebowitz, Comm. Math. Phys., t. 101, 1986, p. 501. Zbl0573.60098
  19. [19] D.H. Martirosian, Comm. Math. Phys., t. 105, 1986, p. 281. MR849209
  20. [20] J. De Coninck, A. Messager, S. Miracle, J. Ruiz, J. Stat. Phys., t. 52, 1988, nos 1-2. Zbl1083.82506
  21. [21] Ya.G. Sinai (1982), Theory of phase transitions, rigorous results. London, Pergamon Press. Zbl0537.60097MR691854
  22. [22] R. Kotecky and D. Preiss, Comm. Math. Phys., t. 103, 1986, p. 498. Zbl0593.05006MR832923
  23. [23] R. Kotecky and D. Preiss, Supplemento ai rendiconti del circolo matematici di Palermo, Serie II, 1984, n° 3. 
  24. [24] J. Bricmont, J.L. Lebowitz and A. Messager, Phys. Lett., t. A 95, 1983, p. 169. MR701653
  25. [25] R.H. Schonmann, (1988), Cornell Univ. Preprint. 
  26. [26] F. Dunlop, L. Laanait, A. Messager, S. Miracle, J. Ruiz (1988). In preparation. 
  27. [27] M. Zahradnick, Comm. Math. Phys., t. 93, 1984, p. 559. 

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