메뉴 건너뛰기




Volumn 4, Issue SUPPL. 1, 2003, Pages

Dimensional Reduction and Crossover to Mean-Field Behavior for Branched Polymers

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0346972987     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-003-0935-9     Document Type: Review
Times cited : (13)

References (30)
  • 1
  • 2
    • 0002385932 scopus 로고    scopus 로고
    • Mean-field lattice trees
    • [BCvS] arXiv:math.PR/9904184
    • [BCvS] C. Borgs, J. Chayes. R. van der Hofstad, and G. Slade, Mean-field lattice trees, Ann. Comb. 3, 205-221 (1999), arXiv:math.PR/9904184.
    • (1999) Ann. Comb. , vol.3 , pp. 205-221
    • Borgs, C.1    Chayes, J.2    Van der Hofstad, R.3    Slade, G.4
  • 3
    • 0039243557 scopus 로고    scopus 로고
    • New phenomena in the random field Ising model
    • [BD98] arXiv:cond-mat/9804266
    • [BD98] E. Brézin and C. De Dominicus, New phenomena in the random field Ising model, Europhys. Lett. 44, 13-19 (1998), arXiv:cond-mat/9804266.
    • (1998) Europhys. Lett. , vol.44 , pp. 13-19
    • Brézin, E.1    De Dominicus, C.2
  • 5
    • 0037276326 scopus 로고    scopus 로고
    • Dimensional reduction formulas for branched polymer correlation functions
    • [BIO3] arXiv:math-ph/0203055
    • [BIO3] D.C. Brydges and J.Z. Imbrie, Dimensional reduction formulas for branched polymer correlation functions, J. Statist. Phys. 110, 503-518 (2003), arXiv:math-ph/0203055.
    • (2003) J. Statist. Phys. , vol.110 , pp. 503-518
    • Brydges, D.C.1    Imbrie, J.Z.2
  • 6
    • 0011976061 scopus 로고
    • Universality of the cluster integrals of repulsive systems
    • [BL87]
    • [BL87] A. Baram and M. Luban, Universality of the cluster integrals of repulsive systems. Phys. Rev. A 36, 760-765 (1987).
    • (1987) Phys. Rev. A , vol.36 , pp. 760-765
    • Baram, A.1    Luban, M.2
  • 7
    • 0002104633 scopus 로고
    • Mayer expansions and the Hamilton-Jacobi equation. IL Fermions, dimensional reduction formulas
    • [BW88] Erratum: J. Statist. Phys. 97, 1027 (1999)
    • [BW88] D. C. Brydges and J. Wright, Mayer expansions and the Hamilton-Jacobi equation. IL Fermions, dimensional reduction formulas, J. Statist. Phys. 51, 435-456 (1988). Erratum: J. Statist. Phys. 97, 1027 (1999).
    • (1988) J. Statist. Phys. , vol.51 , pp. 435-456
    • Brydges, D.C.1    Wright, J.2
  • 8
    • 0003199471 scopus 로고
    • Directed lattice animals and the Lee-Yang edge singularity
    • [Car82]
    • [Car82] J. L. Cardy, Directed lattice animals and the Lee-Yang edge singularity, J. Phys. A 15, L593-L595 (1982).
    • (1982) J. Phys. A , vol.15
    • Cardy, J.L.1
  • 9
    • 0000477528 scopus 로고
    • Conformal invariance and the Yang-Lee edge singularity in two dimensions
    • [Car85]
    • [Car85] J. L. Cardy, Conformal invariance and the Yang-Lee edge singularity in two dimensions, Phys. Rev. Lett. 54, 1354-1356 (1985).
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 1354-1356
    • Cardy, J.L.1
  • 10
    • 0035976869 scopus 로고    scopus 로고
    • Exact scaling functions for self-avoiding loops and branched polymers
    • [Car01] arXiv:cond-mat/0107223
    • [Car01] J.L. Cardy, Exact scaling functions for self-avoiding loops and branched polymers, J. Phys. A 34, L665-L672 (2001), arXiv:cond-mat/0107223.
    • (2001) J. Phys. A , vol.34
    • Cardy, J.L.1
  • 12
    • 4243267220 scopus 로고
    • Exact solution of a directed-site animals-enumeration problem
    • [Dha83]
    • [Dha83] D. Dhar, Exact solution of a directed-site animals-enumeration problem, Phys. Rev. Lett. 51, 853-856 (1983).
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 853-856
    • Dhar, D.1
  • 13
    • 4243157424 scopus 로고
    • 3 field theory
    • [Fis78]
    • 3 field theory, Phys. Rev. Lett. 40, 1610-1613 (1978).
    • (1978) Phys. Rev. Lett. , vol.40 , pp. 1610-1613
    • Fisher, M.E.1
  • 14
    • 0037193007 scopus 로고    scopus 로고
    • Critical exponents of the random-field OS(N) model
    • [Fe102] arXiv:cond-mat/0010012
    • [Fe102] D. E. Feldman, Critical exponents of the random-field OS(N) model, Phys. Rev. Lett. 88, 177202 (2002), arXiv:cond-mat/0010012.
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 177202
    • Feldman, D.E.1
  • 16
    • 5544254271 scopus 로고
    • On the upper critical dimension of lattice trees and lattice animals
    • [HS90]
    • [HS90] T. Hara and G. Slade, On the upper critical dimension of lattice trees and lattice animals, J. Statist. Phys. 59, 1469-1510 (1990).
    • (1990) J. Statist. Phys. , vol.59 , pp. 1469-1510
    • Hara, T.1    Slade, G.2
  • 17
    • 0001063532 scopus 로고
    • The number and size of branched polymers in high dimensions
    • [HS92]
    • [HS92] T. Hara and G. Slade, The number and size of branched polymers in high dimensions, J. Statist. Phys. 67, 1009-1038 (1992).
    • (1992) J. Statist. Phys. , vol.67 , pp. 1009-1038
    • Hara, T.1    Slade, G.2
  • 18
    • 0037253416 scopus 로고    scopus 로고
    • Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models
    • [HvSO3] arXiv:math-ph/0011046
    • [HvSO3] T. Hara, R. van der Hofstad, and G. Slade, Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models, Ann. Probab. 31, 349-408 (2003), arXiv:math-ph/0011046.
    • (2003) Ann. Probab. , vol.31 , pp. 349-408
    • Hara, T.1    Van der Hofstad, R.2    Slade, G.3
  • 19
    • 0000859167 scopus 로고
    • Lower critical dimension of the random-field Ising model
    • [Imb84]
    • [Imb84] J. Z. Imbrie, Lower critical dimension of the random-field Ising model, Phys. Rev. Lett. 53, 1747-1750 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1747-1750
    • Imbrie, J.Z.1
  • 20
    • 0000721414 scopus 로고
    • The ground state of the three-dimensional random-field Ising model
    • [Imb85]
    • [Imb85] J. Z. Imbrie, The ground state of the three-dimensional random-field Ising model, Commun. Math. Phys. 98, 145-176 (1985).
    • (1985) Commun. Math. Phys. , vol.98 , pp. 145-176
    • Imbrie, J.Z.1
  • 21
    • 0000939237 scopus 로고
    • The universal repulsive-core singularity and Yang-Lee edge criticality
    • [LF95]
    • [LF95] S. Lai and M. E. Fisher, The universal repulsive-core singularity and Yang-Lee edge criticality, J. Chem. Phys. 103, 8144-8155 (1995).
    • (1995) J. Chem. Phys. , vol.103 , pp. 8144-8155
    • Lai, S.1    Fisher, M.E.2
  • 22
    • 0035539222 scopus 로고    scopus 로고
    • The Dimension of the Planar Brownian Frontier is 4/3
    • [LSW01] arXiv:math.PR/0010165
    • [LSW01] G. F. Lawler, O. Schramm, and W. Werner, The Dimension of the Planar Brownian Frontier is 4/3, Math. Res. Lett. 8, 401-411 (2001), arXiv:math.PR/0010165.
    • (2001) Math. Res. Lett. , vol.8 , pp. 401-411
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 23
    • 84956209497 scopus 로고
    • Exact pair correlation function of a randomly branched polymer
    • [Mil91]
    • [Mil91] J. D. Miller, Exact pair correlation function of a randomly branched polymer, Europhys. Lett. 16, 623-628 (1991).
    • (1991) Europhys. Lett. , vol.16 , pp. 623-628
    • Miller, J.D.1
  • 24
    • 0000067632 scopus 로고    scopus 로고
    • Identity of the universal repulsive-core singularity with Yang-Lee edge criticality
    • [PF99] arXiv:cond-mat/9907429
    • [PF99] Y. Park and M. E. Fisher, Identity of the universal repulsive-core singularity with Yang-Lee edge criticality, Phys. Rev. E 60, 6323-6328 (1999), arXiv:cond-mat/9907429.
    • (1999) Phys. Rev. E , vol.60 , pp. 6323-6328
    • Park, Y.1    Fisher, M.E.2
  • 25
    • 33744743865 scopus 로고
    • Random magnetic fields, supersymmetry and negative dimensions
    • [PS79]
    • [PS79] G. Parisi and N. Sourlas, Random magnetic fields, supersymmetry and negative dimensions, Phys. Rev. Lett. 43, 744-745 (1979).
    • (1979) Phys. Rev. Lett. , vol.43 , pp. 744-745
    • Parisi, G.1    Sourlas, N.2
  • 26
    • 0001505046 scopus 로고
    • Critical behavior of branched polymers and the Lee-Yang edge singularity
    • [PS81]
    • [PS81] G. Parisi and N. Sourlas, Critical behavior of branched polymers and the Lee-Yang edge singularity, Phys. Rev. Lett. 46, 871-874 (1981).
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 871-874
    • Parisi, G.1    Sourlas, N.2
  • 27
    • 0037122289 scopus 로고    scopus 로고
    • Scale invariance in disordered systems: The example of the random-field Ising model
    • [PS02] arXiv:cond-mat/0207415
    • [PS02] G. Parisi and N. Sourlas, Scale invariance in disordered systems: the example of the random-field Ising model, Phya. Rev. Lett. 89, 257204 (2002), arXiv:cond-mat/0207415.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 257204
    • Parisi, G.1    Sourlas, N.2
  • 28
    • 0347380792 scopus 로고
    • Supersymmetric dimer Hamiltonian for lattice branched polymers
    • [Sha83]
    • [Sha83] Y. Shapir, Supersymmetric dimer Hamiltonian for lattice branched polymers, Phys. Rev. A 28, 1893-1895 (1983).
    • (1983) Phys. Rev. A , vol.28 , pp. 1893-1895
    • Shapir, Y.1
  • 29
    • 0345385077 scopus 로고
    • Supersymmetric statistical models on the lattice
    • [Sha85]
    • [Sha85] Y. Shapir, Supersymmetric statistical models on the lattice, Physica D 15, 129-137 (1985).
    • (1985) Physica D , vol.15 , pp. 129-137
    • Shapir, Y.1
  • 30
    • 17144427930 scopus 로고
    • Two-dimensional gauge theories revisited
    • [Wit92] arXiv:hep-th/9204083
    • [Wit92] Edward Witten, Two-dimensional gauge theories revisited, J. Geom. Phys. 9, 303-368 (1992), arXiv:hep-th/9204083.
    • (1992) J. Geom. Phys. , vol.9 , pp. 303-368
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.