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Volumn 1, Issue 4, 1998, Pages 401-404

Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent β1

Author keywords

68.35.rh phase transitions and critical phenomena; 75.10.hk classical spin models; 78.30.ly disordered solids

Indexed keywords

CRYSTAL DEFECTS; MAGNETS; MONTE CARLO METHODS; PHASE TRANSITIONS; SURFACE PHENOMENA;

EID: 0031621102     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050202     Document Type: Article
Times cited : (22)

References (23)
  • 3
    • 0042974048 scopus 로고
    • These criteria are of a similar nature as the familiar Harris criterion, which assesses the relevance or irrelevance of random bond bulk disorder; see A.B. Harris, J. Phys. C7, 1671 (1974).
    • (1974) J. Phys. , vol.C7 , pp. 1671
    • Harris, A.B.1
  • 4
    • 0003130040 scopus 로고
    • edited by C. Domb, J.L. Lebowitz Academic Press, London
    • For background on surface critical behaviour, see H.W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75-267; K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic, London, 1983), Vol. 8, pp. 1-144; H.W. Diehl, Int. J. Mod. Phys. B 11, 3593 (1997), preprint cond-mat/9610143.
    • (1986) Phase Transitions and Critical Phenomena , vol.10 , pp. 75-267
    • Diehl, H.W.1
  • 5
    • 0001856561 scopus 로고
    • edited by C. Domb, J.L. Lebowitz Academic, London
    • For background on surface critical behaviour, see H.W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75-267; K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic, London, 1983), Vol. 8, pp. 1-144; H.W. Diehl, Int. J. Mod. Phys. B 11, 3593 (1997), preprint cond-mat/9610143.
    • (1983) Phase Transitions and Critical Phenomena , vol.8 , pp. 1-144
    • Binder, K.1
  • 6
    • 0009465338 scopus 로고    scopus 로고
    • preprint cond-mat/9610143
    • For background on surface critical behaviour, see H.W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75-267; K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic, London, 1983), Vol. 8, pp. 1-144; H.W. Diehl, Int. J. Mod. Phys. B 11, 3593 (1997), preprint cond-mat/9610143.
    • (1997) Int. J. Mod. Phys. B , vol.11 , pp. 3593
    • Diehl, H.W.1
  • 14
    • 18044388603 scopus 로고
    • R.B. Griffiths, J. Math. Phys. 8, 478 (1967); D.G. Kelly, S. Sherman, J. Math. Phys. 9, 466 (1968).
    • (1967) J. Math. Phys. , vol.8 , pp. 478
    • Griffiths, R.B.1
  • 16
    • 0002272834 scopus 로고
    • To my knowledge, not all aspects of these limiting forms have been proven in a mathematically rigorous fashion, but they are consistent with all known results. For rigorous results on the 3D semi-infinite Ising model, see J. Fröhlich, C.-E. Pfister, Commun. Math. Phys. 109, 493 (1987); C.-E. Pfister, O. Penrose, Commun. Math. Phys. 115, 691 (1988).
    • (1987) Commun. Math. Phys. , vol.109 , pp. 493
    • Fröhlich, J.1    Pfister, C.-E.2
  • 17
    • 0000510370 scopus 로고
    • To my knowledge, not all aspects of these limiting forms have been proven in a mathematically rigorous fashion, but they are consistent with all known results. For rigorous results on the 3D semi-infinite Ising model, see J. Fröhlich, C.-E. Pfister, Commun. Math. Phys. 109, 493 (1987); C.-E. Pfister, O. Penrose, Commun. Math. Phys. 115, 691 (1988).
    • (1988) Commun. Math. Phys. , vol.115 , pp. 691
    • Pfister, C.-E.1    Penrose, O.2
  • 20
    • 0347744690 scopus 로고    scopus 로고
    • note
    • 1 becomes unnecessary. It is made here because the assumption of self-averaging is neither required nor used in the derivation of the given inequalities, and not to suggest a possible breakdown of self-averaging.
  • 23
    • 0031325696 scopus 로고    scopus 로고
    • preprint cond-mat/9711182
    • W. Selke, F. Szalma, P. Lajkó, F. Iglói, J. Stat. Phys. 89, 1079 (1997); F. Iglói, P. Lajkó, W. Selke, F. Szalma, preprint cond-mat/9711182.
    • Iglói, F.1    Lajkó, P.2    Selke, W.3    Szalma, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.