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Volumn 57, Issue 2, 1998, Pages 2062-2072

Interface Hamiltonian with a position-dependent stiffness: A nonlinear functional renormalization group study

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EID: 25744451074     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.2062     Document Type: Article
Times cited : (13)

References (42)
  • 1
    • 0001786512 scopus 로고
    • Academic, London, C. Domb, J. L. Lebowitz
    • For a general review of wetting, see S. Dietrich, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1988), Vol. 12, p. 1.
    • (1988) Phase Transitions and Critical Phenomena , vol.12 , pp. 1
    • Dietrich, S.1
  • 17
    • 25744446525 scopus 로고
    • The presence of additional fixed points was also noted in, PLRAAN
    • The presence of additional fixed points was also noted in S. Grotehans and R. Lipowsky, Phys. Rev. A 41, 4574 (1990)
    • (1990) Phys. Rev. A , vol.41 , pp. 4574
    • Grotehans, S.1    Lipowsky, R.2
  • 26
    • 85035286903 scopus 로고    scopus 로고
    • For a review of the two-field model of wetting, see, JCOMEL
    • For a review of the two-field model of wetting, see A. O. Parry, J. Phys. Condens. Matter 8, 10 761 (1996)
    • (1996) J. Phys. Condens. Matter , vol.8 , Issue.10 , pp. 761
    • Parry, A.O.1
  • 28
    • 85037232600 scopus 로고    scopus 로고
    • Here the quoted field strengths are measured in units of [Formula Presented] the spin-spin coupling strength in the Ising model
    • Here the quoted field strengths are measured in units of J, the spin-spin coupling strength in the Ising model.
  • 30
    • 85037256062 scopus 로고    scopus 로고
    • The notation we use for describing recursion relations is somewhat ambiguous but is retained for consistency with earlier studies. In practice, for example, the expression [Formula Presented] actually refers to a partial functional [Formula Presented] where [Formula Presented] is some function depending implicitly on [Formula Presented]
    • The notation we use for describing recursion relations is somewhat ambiguous but is retained for consistency with earlier studies. In practice, for example, the expression R[V(l)] actually refers to a partial functional R[V(l)]=∫dl′f(l, l′) where f is some function depending implicitly on V.
  • 36
    • 0001428524 scopus 로고
    • The NFRG approach for tensionless membranes was developed by, PRLTAO
    • The NFRG approach for tensionless membranes was developed by R. Lipowsky and S. Leibler, Phys. Rev. Lett. 56, 2541 (1986)
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2541
    • Lipowsky, R.1    Leibler, S.2
  • 37
    • 85037185693 scopus 로고    scopus 로고
    • An excellent introduction to Wilson’s RG is given in S.-K. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, MA, 1976)
    • An excellent introduction to Wilson’s RG is given in S.-K. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, MA, 1976).
  • 38
    • 85037181882 scopus 로고    scopus 로고
    • For a review of fluctuation and RG theories applied to interfaces see G. Forgacs, R. Lipowsky, and T. Nieuwenhuizen, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1991), Vol. 14, p. 135
    • For a review of fluctuation and RG theories applied to interfaces see G. Forgacs, R. Lipowsky, and T. Nieuwenhuizen, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1991), Vol. 14, p. 135.
  • 41
    • 85037195786 scopus 로고    scopus 로고
    • The stiffness strength estimate embodied in Eq. (4.15) is larger than that given in c20, where a factor of 2 was inadvertently dropped
    • The stiffness strength estimate embodied in Eq. (4.15) is larger than that given in 20, where a factor of 2 was inadvertently dropped.


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