The one-dimensional Potts model with long-range interactions: A renormalization group approach

Journal of Physics A: Mathematical and General

Volumn 30, Issue 10, 1997, Pages 3345-3361

  Cannas, Sergio A ^a   De Magalhães, Aglaé C N ^b  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039646297     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/10/014     Document Type: Article

References (47)

1. Dyson F J 1969 Commun. Math. Phys. 12 91 Dyson F J 1969 Commun. Math. Phys. 12 212
2. Dyson F J 1969 Commun. Math. Phys. 12 91 Dyson F J 1969 Commun. Math. Phys. 12 212
3. Thouless D J 1969 Phys. Rev. 187 732
4. Kosterlitz J M 1976 Phys. Rev. Lett. 37 1577
5. Ellis R S 1985 Entropy, Large Deviations and Statistical Mechanics (Berlin: Springer) p 131-3
6. Frölich J and Spencer T 1982 Commun. Math. Phys. 84 87
7. Fisher M E, Ma S and Nickel B G 1972 Phys. Rev. Lett. 29 917
8. Amit D J 1989 Modeling Brain Functions (Cambridge: Cambridge University Press)
9. Ford P J 1982 Comtemp. Phys. 23 141
10. Pitzer K S, de Lima M C P and Schreiber D R 1985 J. Phys. C: Solid State Phys. 89 1854
11. Burkhardt T W and Eisenriegler E 1995 Phys. Rev. Lett. 74 3189
12. Bergersen B and Rácz Z 1991 Phys. Rev. Lett. 67 3047 Xu H J, Bergersen B and Rácz Z 1993 Phys. Rev. E 47 1520
13. Bergersen B and Rácz Z 1991 Phys. Rev. Lett. 67 3047 Xu H J, Bergersen B and Rácz Z 1993 Phys. Rev. E 47 1520
14. Giacomini G and Lebowitz J L 1996 Phys. Rev. Lett. 76 1094
15. Stošić B D and Fittipaldi I P 1997 Pattern recognition via ising model with long range interactions Preprint
16. Wu F Y 1982 Rev. Mod. Phys. 54 235 Wu F Y 1984 J. Appl. Phys. 55 2421
17. Wu F Y 1982 Rev. Mod. Phys. 54 235 Wu F Y 1984 J. Appl. Phys. 55 2421
18. Tsallis C and de Magalhães A C N 1996 Phys. Rep. 268 305
19. Aizenman M, Chayes J T, Chayes L and Newman C M 1988 J. Stat. Phys. 50 1
20. Schulman L S 1983 J. Phys. A: Math. Gen. 16 L639
21. Aizenman M and Fernandez R 1988 Lett. Math. Phys. 16 39
22. Nagle J F and Bonner J C 1970 J. Phys. C: Solid State Phys. 3 352
23. Glumac Z and Uzelac K 1989 J. Phys. A: Math. Gen. 22 4439
24. Monroe J L, Lucente R and Hourlland J P 1990 J. Phys. A: Math. Gen. 23 2555
25. Cannas S A 1995 Phys. Rev. B 52 3034
26. Cardy J L 1981 J. Phys. A: Math. Gen. 14 1407
27. Glumac Z and Uzela K 1993 J. Phys. A: Math. Gen. 26 5267
28. Anderson P W and Yuval G 1971 J. Phys. C: Solid State Phys. 4 607
29. Chakravarty S and Anderson P W 1994 Phys. Rev. Lett. 72 3859 Clarke D G, Strong S P and Anderson P W 1994 Phys. Rev. Lett. 72 3218 Chakravarty S 1982 Phys. Rev. Lett. 49 681
30. Chakravarty S and Anderson P W 1994 Phys. Rev. Lett. 72 3859 Clarke D G, Strong S P and Anderson P W 1994 Phys. Rev. Lett. 72 3218 Chakravarty S 1982 Phys. Rev. Lett. 49 681
31. Chakravarty S and Anderson P W 1994 Phys. Rev. Lett. 72 3859 Clarke D G, Strong S P and Anderson P W 1994 Phys. Rev. Lett. 72 3218 Chakravarty S 1982 Phys. Rev. Lett. 49 681
32. Niemeijer T and van Leeuwen J M J 1974 Physica 71 17
33. Niemeijer T and van Leeuwen J M J 1976 Phase Transitions and Critical Phenomena vol 6, ed C Domb and M S Green (New York: Academic)
34. Burkhardt T W and Van Leeuwen J M J (ed) 1982 Real-Space Renormalization (Topics in Current Physics) vol 30 (Berlin: Springer)
35. Mainieri R 1992 Phys. Rev. A 45 3580
36. Cannas S A and Tamarit F A 1996 Phys. Rev. B 54 R12 661
37. Mittag L and Stephen M J 1974 J. Phys. A: Math. Gen. 7 L109
38. Pearce P A and Griffiths R B 1980 J. Phys. A: Math. Gen. 13 2143
39. Tsallis C 1995 Fractals 3 541
40. Jund P, Kim S G and Tsallis C 1995 Phys. Rev. B 52 50
41. Grigera J R 1996 Phys. Lett. A 217 47
42. Sampaio L C, de Albuquerque M P and de Menezes F S 1997 Phys. Rev. B 55 to appear
43. Luijten E and Blöte H W J 1995 Int. J. Mod. Phys. C 6 359
44. Luijten E and Blöte H W J 1996 Phys. Rev. Lett. 76 1557
45. Baxter R J 1973 J. Phys. C: Solid State Phys. 12 L125 Baxter R J, Temperley H N V and Ashley S E 1978 Proc. R. Soc. A 358 535
46. Baxter R J 1973 J. Phys. C: Solid State Phys. 12 L125 Baxter R J, Temperley H N V and Ashley S E 1978 Proc. R. Soc. A 358 535
47. Nienhuis B, Berker A N, Riedel E K and Schick M 1979 Phys. Rev. Lett. 43 737