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Volumn 66, Issue 1, 2002, Pages 1-10

Surface-induced disorder and aperiodic perturbations at first-order transitions

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EID: 85038345780     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.014440     Document Type: Article
Times cited : (1)

References (41)
  • 6
    • 0001786512 scopus 로고
    • See, edited by C. Domb and J. L. Lebowitz, Academic, New York
    • See S. Dietrich, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1988), Vol. 12, p. 1.
    • (1988) Phase Transitions and Critical Phenomena , vol.12 , pp. 1
    • Dietrich, S.1
  • 22
    • 0042492825 scopus 로고
    • For a review on the Potts model, see
    • For a review on the Potts model, seeF. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
    • (1982) Rev. Mod. Phys. , vol.54 , pp. 235
    • Wu, F.Y.1
  • 28
    • 85038306548 scopus 로고    scopus 로고
    • Actually, in the large-(formula presented) limit, (formula presented) is to be understood as the singular part of (formula presented) according to Eq. (3.16)
    • Actually, in the large-(formula presented) limit, (formula presented) is to be understood as the singular part of (formula presented) according to Eq. (3.16).
  • 31
    • 85038337672 scopus 로고    scopus 로고
    • Since the sequence is not symmetric, the Fibonacci Hamiltonian is only approximately self-dual. Nevertheless, the critical point remains located at (formula presented)
    • Since the sequence is not symmetric, the Fibonacci Hamiltonian is only approximately self-dual. Nevertheless, the critical point remains located at (formula presented)
  • 37
    • 0003582444 scopus 로고
    • edited by A. Dold and B. Eckmann, Lecture Notes in Mathematics, Springer, Berlin
    • M. Queffélec, in Substitutional Dynamical Systems-Spectral Analyses, edited by A. Dold and B. Eckmann, Lecture Notes in Mathematics, Vol. 1294 (Springer, Berlin, 1987).
    • (1987) Substitutional Dynamical Systems-Spectral Analyses , vol.1294
    • Queffélec, M.1
  • 41
    • 85038269917 scopus 로고    scopus 로고
    • Actually, the exact calculation of the exponent (formula presented) was done in Ref. 16 for a directed walk problem. The aperiodic modulation of the weights corresponds in the present problem to the two-letter substitutions obtained by replacing A by (formula presented) and B by (formula presented) in the period-doubling sequence. One expects the same critical behavior since the wandering exponent is not modified by this decoration of the sequence. This is supported by numerical data
    • Actually, the exact calculation of the exponent (formula presented) was done in Ref. 16 for a directed walk problem. The aperiodic modulation of the weights corresponds in the present problem to the two-letter substitutions obtained by replacing A by (formula presented) and B by (formula presented) in the period-doubling sequence. One expects the same critical behavior since the wandering exponent is not modified by this decoration of the sequence. This is supported by numerical data.


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