메뉴 건너뛰기




Volumn 204, Issue 2, 1999, Pages 269-312

Interface, surface tension and reentrant pinning transition in the 2D ising model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033241779     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050646     Document Type: Article
Times cited : (42)

References (39)
  • 1
    • 0001283923 scopus 로고
    • Solvable model with a roughening transition for a planar Ising ferromagnet
    • [A1] Abraham, D.B.: Solvable model with a roughening transition for a planar Ising ferromagnet. Phys. Rev. Lett. 44, 1165-1168 (1980)
    • (1980) Phys. Rev. Lett. , vol.44 , pp. 1165-1168
    • Abraham, D.B.1
  • 2
    • 0001805793 scopus 로고
    • Surface structures and phase transitions - Exact results
    • C. Domb, J.L. Lebowitz, London: Academic Press
    • [A2] Abraham, D.B.: Surface Structures and Phase Transitions - Exact Results. In: Phase Transitions and Critical Phenomena, Vol 10, , Eds. C. Domb, J.L. Lebowitz, London: Academic Press, 1986, pp. 1-74
    • (1986) Phase Transitions and Critical Phenomena , vol.10 , pp. 1-74
    • Abraham, D.B.1
  • 3
    • 0035533095 scopus 로고    scopus 로고
    • Power-law corrections to exponential decay of connectivities and correlations in lattice models
    • [A1] Alexander, K.S.: Power-law corrections to exponential decay of connectivities and correlations in lattice models. To appear in Annals of Probability
    • Annals of Probability
    • Alexander, K.S.1
  • 4
    • 0002014946 scopus 로고
    • Translation invariance and instability of phase coexistence in the two dimensional Ising model
    • [Az1] Aizenman, M.: Translation invariance and Instability of phase coexistence in the two dimensional Ising model. Commun. Math. Phys. 73, 83-94 (1980)
    • (1980) Commun. Math. Phys. , vol.73 , pp. 83-94
    • Aizenman, M.1
  • 5
    • 33644572993 scopus 로고
    • 4 fields and Ising models. Parts I and II
    • 4 Fields and Ising Models. Parts I and II. Commun. Math. Phys. 86, 1-48 (1982)
    • (1982) Commun. Math. Phys. , vol.86 , pp. 1-48
    • Aizenman, M.1
  • 6
    • 5844252202 scopus 로고
    • Thermodynamics of an anisotropic boundary of a two-dimensional Ising model
    • [AY] Au Yang, H.: Thermodynamics of an anisotropic boundary of a two-dimensional Ising model. J. Math. Phys. 14, 937-946 (1973)
    • (1973) J. Math. Phys. , vol.14 , pp. 937-946
    • Au Yang, H.1
  • 7
    • 0009005633 scopus 로고
    • Description of phases in a film-thickening transition
    • [AC] Abraham, D.B., de Coninck, J.: Description of phases in a film-thickening transition. J. Phys. 16A, L333-L337 (1983)
    • (1983) J. Phys. , vol.16 A
    • Abraham, D.B.1    De Coninck, J.2
  • 8
    • 0000638283 scopus 로고
    • Exact derivation of the modified Young equation for partial wetting
    • [AK] Abraham, D.B., Ko, L.-F. Exact derivation of the modified Young equation for partial wetting. Phys. Rev. Lett. 63, 275-278 (1989)
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 275-278
    • Abraham, D.B.1    Ko, L.-F.2
  • 9
    • 0000180968 scopus 로고
    • Phase separation in the two-dimensional ferromagnet
    • [AR] Abraham, D.B., Reed, P.: Phase separation in the two-dimensional ferromagnet. Phys. Rev. Lett. 33, 377-379 (1974); Interface profile of the Ising ferromagnet in two dimensions Commun. Math. Phys. 49, 35-46 (1974)
    • (1974) Phys. Rev. Lett. , vol.33 , pp. 377-379
    • Abraham, D.B.1    Reed, P.2
  • 10
    • 0009743874 scopus 로고
    • Interface profile of the Ising ferromagnet in two dimensions
    • [AR] Abraham, D.B., Reed, P.: Phase separation in the two-dimensional ferromagnet. Phys. Rev. Lett. 33, 377-379 (1974); Interface profile of the Ising ferromagnet in two dimensions Commun. Math. Phys. 49, 35-46 (1974)
    • (1974) Commun. Math. Phys. , vol.49 , pp. 35-46
  • 11
    • 4243963781 scopus 로고
    • Contact angle for 2D Ising ferromagnet
    • [ACD] Abraham D.B., de Coninck, J., Dunlop, F.: Contact angle for 2D Ising ferromagnet. Phys. Rev. B 39, 4708-4710 (1989)
    • (1989) Phys. Rev. B , vol.39 , pp. 4708-4710
    • Abraham, D.B.1    De Coninck, J.2    Dunlop, F.3
  • 12
    • 0001324158 scopus 로고
    • Relationship between the anisotropic interface tension, the scaled interface width and the equilibrium shape in two dimensions
    • [AA] Akutsu, N., Akutsu, Y.: Relationship between the anisotropic interface tension, the scaled interface width and the equilibrium shape in two dimensions. J. Phys. 19A, 2813-2820 (1986)
    • (1986) J. Phys. , vol.19 A , pp. 2813-2820
    • Akutsu, N.1    Akutsu, Y.2
  • 13
    • 0000527386 scopus 로고
    • Bounded and inhomogeneous Ising models II. Specific-heat scaling function for a strip
    • [AF] Au-Yang, H., Fisher, M.E.: Bounded and inhomogeneous Ising models II. Specific-heat scaling function for a strip. Phys. Rev. B 11, 3469-3487 (1975)
    • (1975) Phys. Rev. B , vol.11 , pp. 3469-3487
    • Au-Yang, H.1    Fisher, M.E.2
  • 15
    • 0009075651 scopus 로고
    • On the local structure of the phase separation line in the two-dimensional Ising system
    • [BLP1] Bricmont, J., Lebowitz, J.L., Pfister, C.-E.: On the local structure of the phase separation line in the two-dimensional Ising system. J. Stat. Phys. 26, 313-332 (1981)
    • (1981) J. Stat. Phys. , vol.26 , pp. 313-332
    • Bricmont, J.1    Lebowitz, J.L.2    Pfister, C.-E.3
  • 17
    • 0002367320 scopus 로고
    • A statistical behaviour of shapes of boundaries of phases
    • R. Kotecký (ed.) Singapore: World Scientific
    • [D] Dobrushin, R.L.: A statistical behaviour of shapes of boundaries of phases. In: R. Kotecký (ed.) Phase Transitions: Mathematics, Physics, Biology., Singapore: World Scientific, 1993, pp. 60-70
    • (1993) Phase Transitions: Mathematics, Physics, Biology , pp. 60-70
    • Dobrushin, R.L.1
  • 18
    • 0031518868 scopus 로고    scopus 로고
    • Fluctuations of the phase boundary in the 2D Ising ferromagnet
    • [DH] Dobrushin, R.L., Hryniv, O.: Fluctuations of the phase boundary in the 2D Ising ferromagnet. Commun. Math. Phys. 189, 395-445 (1997)
    • (1997) Commun. Math. Phys. , vol.189 , pp. 395-445
    • Dobrushin, R.L.1    Hryniv, O.2
  • 19
    • 34250142002 scopus 로고
    • Walks, walls, wetting, and melting
    • [F] Fisher, M.E.: Walks, Walls, Wetting, and Melting. J. Stat. Phys. 34, 667-729 (1984)
    • (1984) J. Stat. Phys. , vol.34 , pp. 667-729
    • Fisher, M.E.1
  • 20
    • 0002272834 scopus 로고
    • Semi-infinite Ising model I. Thermodynamic functions and phase diagram in absence of magnetic field
    • [FP1] Fröhlich, J., Pfister, C.-E.: Semi-infinite Ising model I. Thermodynamic functions and phase diagram in absence of magnetic field. Commun. Math. Phys. 109, 493-523 (1987)
    • (1987) Commun. Math. Phys. , vol.109 , pp. 493-523
    • Fröhlich, J.1    Pfister, C.-E.2
  • 21
    • 0002272832 scopus 로고
    • Semi-infinite Ising model II. The wetting and layering transitions
    • [FP2] Fröhlich, J., Pfister, C.-E.: Semi-infinite Ising model II. The wetting and layering transitions. Commun. Math. Phys. 112, 51-74 (1987)
    • (1987) Commun. Math. Phys. , vol.112 , pp. 51-74
    • Fröhlich, J.1    Pfister, C.-E.2
  • 22
    • 0002240071 scopus 로고
    • The phase separation line in the two-dimensional Ising model
    • [G] Gallavotti, G.: The phase separation line in the two-dimensional Ising model. Commun. Math. Phys. 27, 103-136 (1972)
    • (1972) Commun. Math. Phys. , vol.27 , pp. 103-136
    • Gallavotti, G.1
  • 23
    • 0001607313 scopus 로고
    • On the absence of non-translation invariant Gibbs states for the two-dimensional Ising model
    • J. Fritz, J.L. Lebowitz and D. Szász (eds) Esztergom, Amsterdam: North-Holland
    • [Hi1] Higuchi, Y: On the absence of non-translation invariant Gibbs states for the two-dimensional Ising model. In: J. Fritz, J.L. Lebowitz and D. Szász (eds) Random Fields, Esztergom, Amsterdam: North-Holland, Vol I, 1979, pp. 517-534
    • (1979) Random Fields , vol.1 , pp. 517-534
    • Higuchi, Y.1
  • 24
    • 0009076781 scopus 로고
    • On some limit theorems related to the phase separation line in the two-dimensional Ising model
    • [Hi2] Higuchi, Y.: On some limit theorems related to the phase separation line in the two-dimensional Ising model. Z. Wahrsch. verw. Geb. 50, 287-315 (1979)
    • (1979) Z. Wahrsch. Verw. Geb. , vol.50 , pp. 287-315
    • Higuchi, Y.1
  • 25
    • 21344496131 scopus 로고
    • Large deviations for the 2D Ising model: A lower bound without cluster expansions
    • [I1] Ioffe, D.: Large deviations for the 2D Ising model: A lower bound without cluster expansions. J. Stat. Phys. 74, 411-432 (1994)
    • (1994) J. Stat. Phys. , vol.74 , pp. 411-432
    • Ioffe, D.1
  • 27
    • 0000016246 scopus 로고
    • Surface tension and phase coexistence
    • [LP] Lebowitz, J.L., Pfister, C.-E.: Surface tension and phase coexistence. Phys. Rev. Lett. 46, 1031-1033 (1981)
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 1031-1033
    • Lebowitz, J.L.1    Pfister, C.-E.2
  • 29
    • 0031618596 scopus 로고    scopus 로고
    • The influence of boundary conditions on solid-on-solid models
    • [Pa1] Patrick, A.: The influence of boundary conditions on Solid-On-Solid models. J. Stat. Phys. 90, 389-433 (1998)
    • (1998) J. Stat. Phys. , vol.90 , pp. 389-433
    • Patrick, A.1
  • 30
    • 0009075652 scopus 로고
    • Interface and surface tension in Ising model
    • J. Fröhlich, Basel: Birkhäuser
    • [Pf1] Pfister, C.-E.: Interface and surface tension in Ising model. In: Scaling and self-similarity in physics, ed. J. Fröhlich, Basel: Birkhäuser, 1983 pp. 139-161
    • (1983) Scaling and Self-similarity in Physics , pp. 139-161
    • Pfister, C.-E.1
  • 31
    • 0000981771 scopus 로고
    • Large deviations and phase separation in the two-dimensional Ising model
    • [Pf2] Pfister, C.-E.: Large deviations and phase separation in the two-dimensional Ising model. Helv. Phys. Acta 64, 953-1054 (1991)
    • (1991) Helv. Phys. Acta , vol.64 , pp. 953-1054
    • Pfister, C.-E.1
  • 33
    • 0000510370 scopus 로고
    • Analyticity properties of the surface free energy of the Ising model
    • [PP] Pfister, C.-E., Penrose, O.: Analyticity properties of the surface free energy of the Ising model. Commun. Math. Phys. 115, 691-699 (1988)
    • (1988) Commun. Math. Phys. , vol.115 , pp. 691-699
    • Pfister, C.-E.1    Penrose, O.2
  • 34
    • 0031505092 scopus 로고    scopus 로고
    • Large deviations and continuum limit in the 2D Ising model
    • [PV1] Pfister, C.-E., Velenik, Y.: Large deviations and continuum limit in the 2D Ising model. Prob. Th. Rel. Fields 109, 435-506 (1997)
    • (1997) Prob. Th. Rel. Fields , vol.109 , pp. 435-506
    • Pfister, C.-E.1    Velenik, Y.2
  • 35
    • 0001206758 scopus 로고    scopus 로고
    • Mathematical theory of the wetting phenomenon in the 2D Ising model
    • [PV2] Pfister C.-E., Velenik Y.: Mathematical theory of the wetting phenomenon in the 2D Ising model. Helv. Phys. Acta 69, 949-973 (1996)
    • (1996) Helv. Phys. Acta , vol.69 , pp. 949-973
    • Pfister, C.-E.1    Velenik, Y.2
  • 36
    • 36149021418 scopus 로고
    • Two-dimensional Ising model as a soluble problem of many fermions
    • [SML] Schultz, T.D., Mattis, D.C., Lieb, E.H.: Two-dimensional Ising model as a soluble problem of many fermions. Rev. Mod. Phys. 36, 856-871 (1964)
    • (1964) Rev. Mod. Phys. , vol.36 , pp. 856-871
    • Schultz, T.D.1    Mattis, D.C.2    Lieb, E.H.3
  • 37
    • 0030522124 scopus 로고    scopus 로고
    • A new look at independence
    • [T] Talagrand, M.: A new look at independence. Ann. Prob. 24, 1-34 (1996)
    • (1996) Ann. Prob. , vol.24 , pp. 1-34
    • Talagrand, M.1
  • 39
    • 0000471189 scopus 로고
    • Total surface energy and equilibrium shapes: Exact results for the d=2 Ising crystal
    • [ZA] Zia, R.K.P., Avron, J.E.: Total surface energy and equilibrium shapes: Exact results for the d=2 Ising crystal. Phys. Rev. B 25, 2042-2045 (1982)
    • (1982) Phys. Rev. B , vol.25 , pp. 2042-2045
    • Zia, R.K.P.1    Avron, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.