Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 1, 2008, Pages 33-38

  Ganikhodjaev, Nasir ^a,b   Mukhamedov, Farrukh ^a   Pah, Chin Hee ^a  

^a INTERNATIONAL ISLAMIC UNIVERSITY MALAYSIA   (Malaysia)

^b Institute of Mathematics and Information Technologies   (Uzbekistan)

Author keywords

Bethe lattice; Dynamical system; Modulated phase; Next nearest neighbour; Phase diagram; Potts model

Indexed keywords

DYNAMICAL SYSTEMS; PHASE DIAGRAMS;

BETHE LATTICE; LOW TEMPERATURES; MODULATED PHASE; MULTICRITICAL POINT; NEAREST NEIGHBORS; NEAREST NEIGHBOUR; NEXT NEAREST NEIGHBOR INTERACTION; NEXT-NEAREST-NEIGHBOUR INTERACTION;

POTTS MODEL;

EID: 56449125857     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.10.060     Document Type: Article

References (30)

1. Nightingale M.P., and Schick M. J. Phys. A: Math. Gen. 15 (1982) L39
2. Baxter R.J. Exactly Solved Models in Statistical Mechanics (1982), Academic Press, London-New York
3. Dorogovtsev S.N., Goltsev A.V., and Mendes J.F.F. Eur. Phys. J. B 38 (2004) 177
4. Monroe J.L. Phys. Lett. A 188 (1994) 80
5. Monroe J.L. Phys. Rev. E 67 (2003) 017103
6. Timonin P.N. JETP 99 (2004) 1044
7. Potts R.B. Proc. Cambridge Philos. Soc. 48 (1952) 106
8. Wu F.Y. Rev. Mod. Phys. 54 (1982) 235
9. Coutinho S., Morgado W.A.M., Curado E.M.F., and da Silva L. Phys. Rev. 74 (2006) 094432
10. Peruggi F., di Liberto F., and Monroy G. J. Phys. A 16 (1983) 811
11. Peruggi F., di Liberto F., and Monroy G. Physica A 141 (1987) 151
12. Ganikhodjaev N.N. Theor. Math. Phys. 85 (1990) 1125
13. Elliott R.J. Phys. Rev. 124 (1961) 340
14. Vannimenus J. Z. Phys. B 43 (1981) 141
15. Yokoi C.S.O., Oliveira M.J., and Salinas S.R. Phys. Rev. Lett. 54 (1985) 163
16. Tragtenberg M.H.R., and Yokoi C.S.O. Phys. Rev. B 52 (1995) 2187
17. Mariz M., Tsalis C., and Albuquerque A.L. J. Stat. Phys. 40 (1985) 577
18. da Silca C.R., and Coutinho S. Phys. Rev. B 34 (1986) 7975
19. Kassan-Ogly F.A., and Filippov B.N. J. Magn. Magn. Mater. 300 (2006) 559
20. Kassan-Ogly F.A., and Sagaradze I.V. Phys. Met. Metallogr. 100 (2005) 201
21. Peschel I., and Truong T.T. J. Stat. Phys. 45 (1986) 1572
22. Marques M.C. J. Phys. A: Math. Gen. 21 (1988) 1061
23. Tarnawski M. J. Phys.: Condens. Matter 1 (1989) 1849
24. Tarnawski M. J. Phys.: Condens. Matter 2 (1990) 8599
25. Banavar J.R., and Wu F.Y. Phys. Rev. B 29 (1984) 1511
26. Itakura M. Phys. Rev. B 55 (1997) 48
27. Chang S.-C., and Shrock R. Int. J. Mod. Phys. B 15 (2001) 443
28. Shrock R., and Tsai S.-H. Phys. Rev. E 55 (1997) 5184
29. Ganikhodjaev N.N., Mukhamedov F.M., and Mendes J.F.F. J. Stat. Mech. (2006) P08012
30. Aubry S. In: Bishop A.R., and Schneider T. (Eds). Solutions and Condensed Matter (1978), Springer, Berlin