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Volumn 65, Issue 6, 2002, Pages

Critical behavior of semi-infinite random systems at the special surface transition

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHARGE TRANSFER; DENSITY (SPECIFIC GRAVITY); DISSOCIATION; FUNCTIONS; HAMILTONIANS; IONS; POISSON EQUATION;

EID: 45849154622     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066103     Document Type: Article
Times cited : (11)

References (65)
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    • Maier, I.O.1    Sokolov, A.I.2
  • 11
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    • Sov. Phys. Solid StateI.O. MaierA.I. Sokolov[ 26, 2076 (1984)]. The three-loop (Formula presented) functions derived and used in these papers are in error. The correct expressions for the RG functions of the relevant anisotropic (Formula presented)-component model in three dimensions have been obtained, for the first time, in Ref. 10.
    • (1984) , vol.26 , pp. 2076
    • Maier, I.O.1    Sokolov, A.I.2
  • 12
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    • N.A. Shpot, Phys. Lett. A 142, 474 (1989). The analytical expressions for the relevant three-loop Feynman integrals at (Formula presented) dimensions are listed in Ref. 11.
    • (1989) Phys. Lett. A , vol.142 , pp. 474
    • Shpot, N.A.1
  • 16
    • 85036388726 scopus 로고    scopus 로고
    • cond-mat/0009029
    • D.P. Belanger, e-print cond-mat/0009029.
    • Belanger, D.P.1
  • 19
    • 85036239370 scopus 로고    scopus 로고
    • For a review of critical behavior of infinite systems with bulk randomness and for a more complete list of references, see Refs. 47 50
    • For a review of critical behavior of infinite systems with bulk randomness and for a more complete list of references, see Refs. 4750.
  • 22
    • 85036387038 scopus 로고    scopus 로고
    • W. Selke, L. N. Shcur, and A. L. Talapov, in Annual Reviews of Computational Physics, edited by D. Stauffer (World Scientific, Singapore, 1994), Vol. 1, p. 17
    • W. Selke, L. N. Shcur, and A. L. Talapov, in Annual Reviews of Computational Physics, edited by D. Stauffer (World Scientific, Singapore, 1994), Vol. 1, p. 17.
  • 26
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    • K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1983), Vol. 8, pp. 1–144
    • K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1983), Vol. 8, pp. 1–144.
  • 27
    • 85036292405 scopus 로고    scopus 로고
    • H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75–267
    • H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75–267.
  • 31
    • 85036313720 scopus 로고    scopus 로고
    • The corresponding phase diagram of the semi-infinite systems was represented in Refs. 25 26
    • The corresponding phase diagram of the semi-infinite systems was represented in Refs. 2526.
  • 33
    • 34249952843 scopus 로고
    • Z. Phys. B: Condens. MatterH.W. DiehlA. Nüsser79, 79 (1990).
    • (1990) , vol.79 , pp. 79
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    • E. Brézin, J. C. Le Guillou, J. Zinn-Justin, in Phase Transition and Critical Phenomena, edited by C. Domb and M. S. Green (Academic Press, New York, 1976), Vol. 6
    • E. Brézin, J. C. Le Guillou, J. Zinn-Justin, in Phase Transition and Critical Phenomena, edited by C. Domb and M. S. Green (Academic Press, New York, 1976), Vol. 6.
  • 56
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    • For this kind of series, the expansion coefficients at large orders of perturbation theory grow nearly factorially. In fact, this is an intuitive picture conveyed from the theory of bulk regular systems. Much less is known about the large-order behavior of perturbative expansions pertaining to infinite random systems (see Refs. 54 37 55), especially at large space dimensionalities. To our knowledge, there are no explicit results on large orders for surface quantities, even in the absence of any disorder
    • For this kind of series, the expansion coefficients at large orders of perturbation theory grow nearly factorially. In fact, this is an intuitive picture conveyed from the theory of bulk regular systems. Much less is known about the large-order behavior of perturbative expansions pertaining to infinite random systems (see Refs. 543755), especially at large space dimensionalities. To our knowledge, there are no explicit results on large orders for surface quantities, even in the absence of any disorder.
  • 61
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    • For the sake of simplicity, we do not present the ratio (Formula presented) here
    • For the sake of simplicity, we do not present the ratio (Formula presented) here.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.