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Journal of Statistical Physics

Volumn 50, Issue 1-2, 1988, Pages 1-40

Discontinuity of the magnetization in one-dimensional 1/|x-y|2 Ising and Potts models

(4) Aizenman, M a Chayes, J T b Chayes, L b Newman, C M c

a NEW YORK UNIVERSITY (United States)

b UNIVERSITY OF CALIFORNIA (United States)

c UNIVERSITY OF ARIZONA (United States)

Author keywords

1 r2 interactions one dimension; discontinuous transition; Fortuin Kasteleyn representation; Ising model; percolation; Potts models; Thouless effect

Indexed keywords

EID: 0002205186 PISSN: 00224715 EISSN: 15729613 Source Type: Journal
DOI: 10.1007/BF01022985 Document Type: Article

Times cited : (337)

References (55)

1
- 0042521832
- J., Fritz, A., Jaffe, D., Szász, Birkhäuser, Boston
- (1985) Statistical Physics and Dynamical Systems: Rigorous Results
- Aizenman, M.¹

2
- 0000136970
- (1987) Commun. Math. Phys. , vol.108 , pp. 489
- Aizenman, M.¹ Barsky, D.²

3
- 34250105066
- (1987) J. Stat. Phys. , vol.47 , pp. 343
- Aizenman, M.¹ Barsky, D.² Fernández, R.³

4
- 0002190594
- (1983) Commun. Math. Phys. , vol.92 , pp. 19
- Aizenman, M.¹ Chayes, J.T.² Chayes, L.³ Fröhlich, J.⁴ Russo, L.⁵

5
- 0001937199
- The phase boundary in dilute and random Ising and Potts ferromagnets
- (1987) Journal of Physics A: Mathematical and General , vol.20 , pp. L313
- Aizenman, M.¹ Chayes, J.T.² Chayes, L.³ Newman, C.M.⁴

6
- 0001639861
- (1984) J. Stat. Phys. , vol.36 , pp. 107
- Aizenman, M.¹ Newman, C.M.²

7
- 0000847052
- (1986) Commun. Math. Phys. , vol.107 , pp. 611
- Aizenman, M.¹ Newman, C.M.²

8
- 0014547512
- (1969) Phys. Rev. Lett. , vol.23 , pp. 89
- Anderson, P.W.¹ Yuval, G.²

9
- 0039672087
- (1971) J. Phys. C , vol.4 , pp. 607
- Anderson, P.W.¹ Yuval, G.²

10
- 0000097317
- (1970) Phys. Rev. B , vol.1 , pp. 4464
- Anderson, P.W.¹ Yuval, G.² Hamann, D.R.³

11
- 84936291132
- H. Berbee, Uniqueness of Gibbs measures and absorption probabilities, preprint (1987).

12
- 84936222405
- J. van den Berg and R. Burton, FKG and equivalent conditions for binary random variables, preprint (1987).

13
- 0001443699
- (1981) Phys. Rev. B , vol.24 , pp. 3862
- Bhattacharjee, J.¹ Chakravarty, S.² Richardson, J.L.³ Scalapino, D.J.⁴

14
- 84985483977
- ON THE SURFACE TENSION OF LATTICE SYSTEMS
- (1980) Annals of the New York Academy of Sciences , vol.337 , pp. 214
- Bricmont, J.¹ Lebowitz, J.L.² Pfister, C.E.³

15
- 0039672085
- (1981) J. Phys. A , vol.14 , pp. 1407
- Cardy, J.L.¹

16
- 4243686035
- (1982) Phys. Rev. Lett. , vol.49 , pp. 681
- Chakravarty, S.¹

17
- 0346125899
- (1986) J. Phys. A: Math. Gen. , vol.19 , pp. 3033
- Chayes, J.T.¹ Chayes, L.²

18
- 0010213627
- (1985) Phys. Rev. B , vol.32 , pp. 76
- Chakravarty, S.¹ Kivelson, S.²

19
- 0001235413
- The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity
- (1968) Theory of Probability & Its Applications , vol.13 , pp. 197
- Dobrushin, R.¹

20
- 34250490220
- (1969) Commun. Math. Phys. , vol.12 , pp. 91
- Dyson, F.J.¹

21
- 0001382704
- Association of Random Variables, with Applications
- (1967) The Annals of Mathematical Statistics , vol.38 , pp. 1466
- Esary, J.¹ Prochan, F.² Walkup, D.³

22
- 33749860660
- (1972) Physica , vol.59 , pp. 545
- Fortuin, C.M.¹

23
- 0041855748
- (1972) Physica , vol.57 , pp. 536
- Fortuin, C.M.¹ Kasteleyn, P.W.²

24
- 0002748055
- (1971) Commun. Math. Phys. , vol.22 , pp. 89
- Fortuin, C.M.¹ Kasteleyn, P.W.² Ginibre, J.³

25
- 0002634330
- (1982) Commun. Math. Phys. , vol.84 , pp. 87
- Fröhlich, J.¹ Spencer, T.²

26
- 18044388603
- (1967) J. Math. Phys. , vol.8 , pp. 478
- Griffiths, R.B.¹

27
- 33845400496
- (1967) J. Math. Phys. , vol.8 , pp. 484
- Griffiths, R.B.¹

28
- 0142076994
- (1967) Commun. Math. Phys. , vol.6 , pp. 121
- Griffiths, R.B.¹

29
- 35348973197
- Critical Sponge Dimensions in Percolation Theory
- (1981) Advances in Applied Probability , vol.13 , pp. 314
- Grimmett, G.R.¹

30
- 0014545247
- (1969) Phys. Rev. Lett. , vol.23 , pp. 95
- Hamann, D.R.¹

31
- 0000762350
- Percolation Processes: Lower Bounds for the Critical Probability
- (1957) The Annals of Mathematical Statistics , vol.28 , pp. 790
- Hammersley, J.M.¹

32
- 0002446794
- (1960) Proc. Camb. Phil. Soc. , vol.56 , pp. 13
- Harris, T.E.¹

33
- 0039565784
- (1985) J. Phys. A: Math. Gen. , vol.18 , pp. 101
- Hammersley, J.M.¹ Whittington, S.G.²

34
- 0642315799
- (1982) Commun. Math. Phys. , vol.85 , pp. 491
- Imbrie, J.Z.¹

35
- 0002697969
- (1980) Commun. Math. Phys. , vol.74 , pp. 41
- Kesten, H.¹

36
- 0002862954
- (1969) J. Phys. Soc. Japan , vol.26 , pp. 11
- Kasteleyn, P.W.¹ Fortuin, C.M.²

37
- 0040372100
- General Griffiths' Inequalities on Correlations in Ising Ferromagnets
- (1968) Journal of Mathematical Physics , vol.9 , pp. 466
- Kelley, D.G.¹ Sherman, S.²

38
- 0000342072
- First-order phase transitions in large entropy lattice models
- (1982) Communications in Mathematical Physics , vol.83 , pp. 493
- Kotecky, R.¹ Schlosman, S.B.²

39
- 0001203032
- (1980) Commun. Math. Phys. , vol.77 , pp. 127
- Lieb, E.H.¹

40
- 0004056428
- Pergamon Press, London
- (1958) Statistical Physics , pp. 482
- Landau, L.D.¹ Lifshitz, L.M.²

41
- 0000799233
- (1969) Commun. Math. Phys. , vol.13 , pp. 194
- Lanford, O.E.¹ Ruelle, D.²

42
- 0040016305
- (1986) Commun. Math. Phys. , vol.105 , pp. 281
- Martirosian, D.G.¹

43
- 8744303260
- (1986) Dokl. Akad. Nauk SSSR , vol.288 , pp. 1308
- Menshikov, M.V.¹

44
- 0000314880
- (1986) Commun. Math. Phys. , vol.104 , pp. 547
- Newman, C.M.¹ Schulman, L.S.²

45
- 0000333996
- (1968) Commun. Math. Phys. , vol.9 , pp. 267
- Ruelle, D.¹

46
- 0004073625
- Benjamin, New York
- (1969) Statistical Mechanics
- Ruelle, D.¹

47
- 0001500220
- (1981) J. Stat. Phys. , vol.25 , pp. 669
- Rogers, J.B.¹ Thompson, C.J.²

48
- 84936224890
- T. K. Sarkar, Some lower bounds of reliability, Technical Report No. 124, Department of Operations Research and Statistics, Stanford University (1969).

49
- 4243757085
- (1983) J. Phys. A , vol.16 , pp. L639
- Schulman, L.S.¹

50
- 0000176309
- (1980) Commun. Math. Phys. , vol.77 , pp. 111
- Simon, B.¹

51
- 0000386759
- (1981) J. Stat. Phys. , vol.25 , pp. 679
- Simon, B.¹ Sokal, A.D.²

52
- 84936224954
- A. D. Sokal, private communication.

53
- 33747349191
- (1987) Phys. Rev. Lett. , vol.58 , pp. 86
- Swendsen, R.H.¹ Wang, J.-S.²

54
- 0000435644
- (1969) Phys. Rev. , vol.187 , pp. 732
- Thouless, D.J.¹

55
- 84936258155
- Imbrie, J.Z.¹ Newman, C.M.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.