Crossref journal-article
Springer Science and Business Media LLC
Journal of Statistical Physics (297)
Bibliography

Aizenman, M., Chayes, J. T., Chayes, L., & Newman, C. M. (1988). Discontinuity of the magnetization in one-dimensional 1/�x?y�2 Ising and Potts models. Journal of Statistical Physics, 50(1–2), 1–40.

Authors 4
  1. M. Aizenman (first)
  2. J. T. Chayes (additional)
  3. L. Chayes (additional)
  4. C. M. Newman (additional)
References 55 Referenced 282
  1. M. Aizenman, inStatistical Physics and Dynamical Systems: Rigorous Results, J. Fritz, A. Jaffe, and D. Sz�sz, eds. (Birkh�user, Boston, 1985);Phys. Rev. Lett. 54:839 (1985). / Statistical Physics and Dynamical Systems: Rigorous Results by M. Aizenman (1985)
  2. M. Aizenman and D. Barsky,Commun. Math. Phys. 108:489 (1987). (10.1007/BF01212322) / Commun. Math. Phys. by M. Aizenman (1987)
  3. M. Aizenman, D. Barsky, and R. Fern�ndez,J. Stat. Phys. 47:343 (1987). (10.1007/BF01007515) / J. Stat. Phys. by M. Aizenman (1987)
  4. M. Aizenman, J. T. Chayes, L. Chayes, J. Fr�hlich, and L. Russo,Commun. Math. Phys. 92:19 (1983). (10.1007/BF01206313) / Commun. Math. Phys. by M. Aizenman (1983)
  5. M. Aizenman, J. T. Chayes, L. Chayes, and C. M. Newman,J. Phys. A: Math. Gen. 20:L313 (1987). (10.1088/0305-4470/20/5/010) / J. Phys. A: Math. Gen. by M. Aizenman (1987)
  6. M. Aizenman and C. M. Newman,J. Stat. Phys. 36:107 (1984). (10.1007/BF01015729) / J. Stat. Phys. by M. Aizenman (1984)
  7. M. Aizenman and C. M. Newman,Commun. Math. Phys. 107:611 (1986). (10.1007/BF01205489) / Commun. Math. Phys. by M. Aizenman (1986)
  8. P. W. Anderson and G. Yuval,Phys. Rev. Lett. 23:89 (1969). (10.1103/PhysRevLett.23.89) / Phys. Rev. Lett. by P. W. Anderson (1969)
  9. P. W. Anderson and G. Yuval,J. Phys. C 4:607 (1971). (10.1088/0022-3719/4/5/011) / J. Phys. C by P. W. Anderson (1971)
  10. P. W. Anderson, G. Yuval, and D. R. Hamann,Phys. Rev. B 1:4464 (1970). (10.1103/PhysRevB.1.4464) / Phys. Rev. B by P. W. Anderson (1970)
  11. H. Berbee, Uniqueness of Gibbs measures and absorption probabilities, preprint (1987).
  12. J. van den Berg and R. Burton, FKG and equivalent conditions for binary random variables, preprint (1987).
  13. J. Bhattacharjee, S. Chakravarty, J. L. Richardson, and D. J. Scalapino,Phys. Rev. B 24:3862 (1981). (10.1103/PhysRevB.24.3862) / Phys. Rev. B by J. Bhattacharjee (1981)
  14. J. Bricmont, J. L. Lebowitz, and C. E. Pfister,Ann. N. Y. Acad. Sci. 337:214 (1980). (10.1111/j.1749-6632.1980.tb18021.x) / Ann. N. Y. Acad. Sci. by J. Bricmont (1980)
  15. J. L. Cardy,J. Phys. A 14:1407 (1981). (10.1088/0305-4470/14/6/017) / J. Phys. A by J. L. Cardy (1981)
  16. S. Chakravarty,Phys. Rev. Lett. 49:681 (1982). (10.1103/PhysRevLett.49.681) / Phys. Rev. Lett. by S. Chakravarty (1982)
  17. J. T. Chayes and L. Chayes,J. Phys. A: Math. Gen. 19:3033 (1986). (10.1088/0305-4470/19/15/026) / J. Phys. A: Math. Gen. by J. T. Chayes (1986)
  18. S. Chakravarty and S. Kivelson,Phys. Rev. B 32:76 (1985). (10.1103/PhysRevB.32.76) / Phys. Rev. B by S. Chakravarty (1985)
  19. R. Dobrushin,Theory Prob. Appl. 13:197 (1968);Fund. Anal. Appl. 2:302 (1968). (10.1137/1113026) / Theory Prob. Appl. by R. Dobrushin (1968)
  20. F. J. Dyson,Commun. Math. Phys. 12:91 (1969);21:269 (1971). (10.1007/BF01645907) / Commun. Math. Phys. by F. J. Dyson (1969)
  21. J. Esary, F. Prochan, and D. Walkup,Ann. Math. Stat. 38:1466 (1967). (10.1214/aoms/1177698701) / Ann. Math. Stat. by J. Esary (1967)
  22. C. M. Fortuin,Physica 59:545 (1972). (10.1016/0031-8914(72)90087-0) / Physica by C. M. Fortuin (1972)
  23. C. M. Fortuin and P. W. Kasteleyn,Physica 57:536 (1972). (10.1016/0031-8914(72)90045-6) / Physica by C. M. Fortuin (1972)
  24. C. M. Fortuin, P. W. Kasteleyn, and J. Ginibre,Commun. Math. Phys. 22:89 (1971). (10.1007/BF01651330) / Commun. Math. Phys. by C. M. Fortuin (1971)
  25. J. Fr�hlich and T. Spencer,Commun. Math. Phys. 84:87 (1982). (10.1007/BF01208373) / Commun. Math. Phys. by J. Fr�hlich (1982)
  26. R. B. Griffiths,J. Math. Phys. 8:478 (1967). (10.1063/1.1705219) / J. Math. Phys. by R. B. Griffiths (1967)
  27. R. B. Griffiths,J. Math. Phys. 8:484 (1967). (10.1063/1.1705220) / J. Math. Phys. by R. B. Griffiths (1967)
  28. R. B. Griffiths,Commun. Math. Phys. 6:121 (1967). (10.1007/BF01654128) / Commun. Math. Phys. by R. B. Griffiths (1967)
  29. G. R. Grimmett,Adv. Appl. Prob. 13:314 (1981);J. Phys. A: Math. Gen. 16:599 (1983). (10.2307/1426686) / Adv. Appl. Prob. by G. R. Grimmett (1981)
  30. D. R. Hamann,Phys. Rev. Lett. 23:95 (1969). (10.1103/PhysRevLett.23.95) / Phys. Rev. Lett. by D. R. Hamann (1969)
  31. J. M. Hammersley,Ann. Math. Stat. 28:790 (1957). (10.1214/aoms/1177706894) / Ann. Math. Stat. by J. M. Hammersley (1957)
  32. T. E. Harris,Proc. Camb. Phil. Soc. 56:13 (1960). (10.1017/S0305004100034241) / Proc. Camb. Phil. Soc. by T. E. Harris (1960)
  33. J. M. Hammersley and S. G. Whittington,J. Phys. A: Math. Gen. 18:101 (1985). (10.1088/0305-4470/18/1/022) / J. Phys. A: Math. Gen. by J. M. Hammersley (1985)
  34. J. Z. Imbrie,Commun. Math. Phys. 85:491 (1982). (10.1007/BF01403501) / Commun. Math. Phys. by J. Z. Imbrie (1982)
  35. H. Kesten,Commun. Math. Phys. 74:41 (1980). (10.1007/BF01197577) / Commun. Math. Phys. by H. Kesten (1980)
  36. P. W. Kasteleyn and C. M. Fortuin,J. Phys. Soc. Japan 26(Suppl.):11 (1969). / J. Phys. Soc. Japan by P. W. Kasteleyn (1969)
  37. D. G. Kelley and S. Sherman,J. Math. Phys. 9:466 (1968). (10.1063/1.1664600) / J. Math. Phys. by D. G. Kelley (1968)
  38. R. Kotecky and S. B. Schlosman,Commun. Math. Phys. 83:493 (1982). (10.1007/BF01208713) / Commun. Math. Phys. by R. Kotecky (1982)
  39. E. H. Lieb,Commun. Math. Phys. 77:127 (1980). (10.1007/BF01982712) / Commun. Math. Phys. by E. H. Lieb (1980)
  40. L. D. Landau and L. M. Lifshitz, Statistical Physics (Pergamon Press, London, 1958), p. 482. / Statistical Physics by L. D. Landau (1958)
  41. O. E. Lanford and D. Ruelle,Commun. Math. Phys. 13:194 (1969). (10.1007/BF01645487) / Commun. Math. Phys. by O. E. Lanford (1969)
  42. D. G. Martirosian,Commun. Math. Phys. 105:281 (1986). (10.1007/BF01211103) / Commun. Math. Phys. by D. G. Martirosian (1986)
  43. M. V. Menshikov,Dokl. Akad. Nauk SSSR 288:1308 (1986); M. V. Menshikov, S. A. Molchanov, and A. F. Siderenko,Itogi Nauki Techniki (Ser. Prob. Theory, Math. Stat., Theor. Cybernet.) 24:53 (1986). / Dokl. Akad. Nauk SSSR by M. V. Menshikov (1986)
  44. C. M. Newman and L. S. Schulman,Commun. Math. Phys. 104:547 (1986). (10.1007/BF01211064) / Commun. Math. Phys. by C. M. Newman (1986)
  45. D. Ruelle,Commun. Math. Phys. 9:267 (1968). (10.1007/BF01654281) / Commun. Math. Phys. by D. Ruelle (1968)
  46. D. Ruelle,Statistical Mechanics (Benjamin, New York, 1969). / Statistical Mechanics by D. Ruelle (1969)
  47. J. B. Rogers and C. J. Thompson,J. Stat. Phys. 25:669 (1981). (10.1007/BF01022361) / J. Stat. Phys. by J. B. Rogers (1981)
  48. T. K. Sarkar, Some lower bounds of reliability, Technical Report No. 124, Department of Operations Research and Statistics, Stanford University (1969).
  49. L. S. Schulman,J. Phys. A 16:L639 (1983). (10.1088/0305-4470/16/17/001) / J. Phys. A by L. S. Schulman (1983)
  50. B. Simon,Commun. Math. Phys. 77:111 (1980). (10.1007/BF01982711) / Commun. Math. Phys. by B. Simon (1980)
  51. B. Simon and A. D. Sokal,J. Stat. Phys. 25:679 (1981). (10.1007/BF01022362) / J. Stat. Phys. by B. Simon (1981)
  52. A. D. Sokal, private communication.
  53. R. H. Swendsen and J.-S. Wang,Phys. Rev. Lett. 58:86 (1987). (10.1103/PhysRevLett.58.86) / Phys. Rev. Lett. by R. H. Swendsen (1987)
  54. D. J. Thouless,Phys. Rev. 187:732 (1969). (10.1103/PhysRev.187.732) / Phys. Rev. by D. J. Thouless (1969)
  55. J. Z. Imbrie and C. M. Newman, An intermediate phase with slow decay of correlations in one dimensional 1/�x?y�2 percolation, Ising and Potts models; to be submitted toCommun. Math. Phys. (1988). (10.1007/BF01218582)
Dates
Type When
Created 20 years, 7 months ago (Jan. 19, 2005, 9:25 a.m.)
Deposited 6 years, 3 months ago (April 27, 2019, 1:57 a.m.)
Indexed 2 weeks, 1 day ago (Aug. 6, 2025, 8:38 a.m.)
Issued 37 years, 7 months ago (Jan. 1, 1988)
Published 37 years, 7 months ago (Jan. 1, 1988)
Published Print 37 years, 7 months ago (Jan. 1, 1988)
Funders 0

None

@article{Aizenman_1988, title={Discontinuity of the magnetization in one-dimensional 1/�x?y�2 Ising and Potts models}, volume={50}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/bf01022985}, DOI={10.1007/bf01022985}, number={1–2}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Aizenman, M. and Chayes, J. T. and Chayes, L. and Newman, C. M.}, year={1988}, month=jan, pages={1–40} }