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Volumn 237, Issue 3-4, 1997, Pages 353-362

Spin glasses and frustrated percolation: A renormalization group approach

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; GLASS; MATHEMATICAL MODELS; PHASE TRANSITIONS;

EID: 0031119394     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00434-7     Document Type: Article
Times cited : (16)

References (32)
  • 1
    • 0043230411 scopus 로고
    • K. Binder and A.P. Young, Rev. Mod. Phys. 58 (1986) 801; M. Mezard, G. Parisi and M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
    • (1986) Rev. Mod. Phys. , vol.58 , pp. 801
    • Binder, K.1    Young, A.P.2
  • 5
    • 30244459142 scopus 로고    scopus 로고
    • to be published
    • ij when these variables represent interactions between the particles internal degree of freedom. Sec M. Nicodemi and A. Coniglio, to be published.
    • Nicodemi, M.1    Coniglio, A.2
  • 7
    • 0042592793 scopus 로고    scopus 로고
    • A. Coniglio and H.J. Herrmann, Physica A 225 (1996) 1, M. Nicodemi A. Coniglio and H.J. Herrmann, to Phys. Rev. Lett., submitted.
    • (1996) Physica A , vol.225 , pp. 1
    • Coniglio, A.1    Herrmann, H.J.2
  • 10
    • 22244457503 scopus 로고
    • A connection between the dilute spin glass at zero temperature and the 1/2 state Potts model has been discussed by A. Aharony and Pfeuty J. Phys. C 12 (1979) L125.
    • (1979) Phys. C , vol.12
    • Aharony, A.1    Pfeuty, J.2
  • 11
    • 30244473487 scopus 로고    scopus 로고
    • note
    • ij is path independent since the configuration does not contain frustrated loops (Fig. 2(b)).
  • 18
    • 30244462380 scopus 로고    scopus 로고
    • note
    • Note that in the limit q → 0 we obtain the frustrated tree percolation, which allows the same configurations as in the random tree percolation since the trees do not contain frustration. Therefore the frustrated q-Potts model (4) and the ferromagnetic q-Potts model coincide in the limit q → 0.
  • 20
    • 36749121006 scopus 로고
    • S.R. McKay, A.N. Berker and S. Kirkpatrick, Phys. Rev. Lett. 48 (1982) 767; and J. Appl. Phys. 53, (1982) 1873.
    • (1982) J. Appl. Phys. , vol.53 , pp. 1873
  • 21
    • 30244506529 scopus 로고    scopus 로고
    • note
    • In the Hamiltonian (4) the term - 2 has been added so that the energy between two sites is zero if the interaction is satisfied. With this choice the partition function is given exactly by (5). Otherwise the partition function would have been multiplied by an unessential factor.
  • 22
    • 30244438898 scopus 로고    scopus 로고
    • note
    • Further details will appear in U. Pezzella and A. Coniglio, to be published.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.