메뉴 건너뛰기




Volumn 36, Issue 25, 2003, Pages 6897-6921

Canonical solution of classical magnetic models with long-range couplings

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037745592     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/25/301     Document Type: Article
Times cited : (43)

References (32)
  • 3
    • 0000246287 scopus 로고
    • Classical statistical mechanics of a system of particles
    • Ruelle D 1963 Classical statistical mechanics of a system of particles Helv. Phys. Acta 36 183-97
    • (1963) Helv. Phys. Acta , vol.36 , pp. 183-197
    • Ruelle, D.1
  • 4
    • 33645055058 scopus 로고
    • First-order transitions in spherical models: Finite-size scaling
    • Fisher M E and Privman V A 1986 First-order transitions in spherical models: finite-size scaling Commun. Math. Phys. 103 527-48
    • (1986) Commun. Math. Phys. , vol.103 , pp. 527-548
    • Fisher, M.E.1    Privman, V.A.2
  • 5
    • 0035898638 scopus 로고    scopus 로고
    • Inequivalence of ensembles in a system with long-range interactions
    • Barre J, Mukamel D and Ruffo S 2001 Inequivalence of ensembles in a system with long-range interactions Phys. Rev. Lett. 87 030601
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 030601
    • Barre, J.1    Mukamel, D.2    Ruffo, S.3
  • 6
    • 33947716431 scopus 로고
    • Beitrag zur theorie des ferromagnetismus
    • Ising E 1925 Beitrag zur theorie des ferromagnetismus Z. Phys. 31 253-8
    • (1925) Z. Phys. , vol.31 , pp. 253-258
    • Ising, E.1
  • 7
    • 36149027401 scopus 로고
    • Statistical mechanical theory of ferromagnetism. High density behaviour
    • Brout R 1960 Statistical mechanical theory of ferromagnetism. High density behaviour Phys. Rev. 118 1009-19 Kac M and Helfand E 1963 Study of several lattice systems with long-range forces J. Math. Phys. 4 1078-88 Siegert A J F and Vezzetti D J 1968 On the Ising model with long-range interaction J. Math. Phys. 9 2173-93
    • (1960) Phys. Rev. , vol.118 , pp. 1009-1019
    • Brout, R.1
  • 8
    • 36849133617 scopus 로고
    • Study of several lattice systems with long-range forces
    • Brout R 1960 Statistical mechanical theory of ferromagnetism. High density behaviour Phys. Rev. 118 1009-19 Kac M and Helfand E 1963 Study of several lattice systems with long-range forces J. Math. Phys. 4 1078-88 Siegert A J F and Vezzetti D J 1968 On the Ising model with long-range interaction J. Math. Phys. 9 2173-93
    • (1963) J. Math. Phys. , vol.4 , pp. 1078-1088
    • Kac, M.1    Helfand, E.2
  • 9
    • 0242384594 scopus 로고
    • On the Ising model with long-range interaction
    • Brout R 1960 Statistical mechanical theory of ferromagnetism. High density behaviour Phys. Rev. 118 1009-19 Kac M and Helfand E 1963 Study of several lattice systems with long-range forces J. Math. Phys. 4 1078-88 Siegert A J F and Vezzetti D J 1968 On the Ising model with long-range interaction J. Math. Phys. 9 2173-93
    • (1968) J. Math. Phys. , vol.9 , pp. 2173-2193
    • Siegert, A.J.F.1    Vezzetti, D.J.2
  • 10
    • 0542374369 scopus 로고
    • On the van der Waals theory of the vapor-liquid equilibrium: I Discussion of a one-dimensional model
    • Kac M, Uhlenbeck G E and Hemmer P C 1963 On the van der Waals theory of the vapor-liquid equilibrium: I Discussion of a one-dimensional model J. Math. Phys. 4 216-28
    • (1963) J. Math. Phys. , vol.4 , pp. 216-228
    • Kac, M.1    Uhlenbeck, G.E.2    Hemmer, P.C.3
  • 11
    • 0037127167 scopus 로고    scopus 로고
    • Ensemble inequivalence in systems with long-range interactions
    • Leyvraz F and Ruffo S 2002 Ensemble inequivalence in systems with long-range interactions J. Phys. A: Math. Gen. 35 285-94
    • (2002) J. Phys. A: Math. Gen. , vol.35 , pp. 285-294
    • Leyvraz, F.1    Ruffo, S.2
  • 12
    • 0037492836 scopus 로고
    • Rigorous treatment of the van der Waals-Maxwell theory of the liquid-vapor transition
    • Lebowitz J L and Penrose O 1966 Rigorous treatment of the van der Waals-Maxwell theory of the liquid-vapor transition J. Math. Phys. 7 98-118
    • (1966) J. Math. Phys. , vol.7 , pp. 98-118
    • Lebowitz, J.L.1    Penrose, O.2
  • 14
    • 0035276942 scopus 로고    scopus 로고
    • Kac-potential treatment of nonintegrable interactions
    • Vollmayr-Lee B P and Luijten E 2001 Kac-potential treatment of nonintegrable interactions Phys. Rev. E 63 031108
    • (2001) Phys. Rev. E , vol.63 , pp. 031108
    • Vollmayr-Lee, B.P.1    Luijten, E.2
  • 15
    • 0001371177 scopus 로고
    • Correlations in Ising chains with nonintegrable interactions
    • Bergersen B, Rácz Z and Xu H-J 1995 Correlations in Ising chains with nonintegrable interactions Phys. Rev. E 52 6031-6
    • (1995) Phys. Rev. E , vol.52 , pp. 6031-6036
    • Bergersen, B.1    Rácz, Z.2    Xu, H.-J.3
  • 16
    • 0347359628 scopus 로고    scopus 로고
    • Long-range interactions and nonextensivity in ferromagnetic spin models
    • Cannas S A and Tamarit F A 1996 Long-range interactions and nonextensivity in ferromagnetic spin models Phys. Rev. B 54 R12661-4
    • (1996) Phys. Rev. B , vol.54
    • Cannas, S.A.1    Tamarit, F.A.2
  • 17
    • 4244106213 scopus 로고    scopus 로고
    • Comment on 'Scaling laws for a system with long-range interactions within Tsallis statistics'
    • Vollmayr-Lee B P and Luijten E 2000 Comment on 'Scaling laws for a system with long-range interactions within Tsallis statistics' Phys. Rev. Lett. 85 470
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 470
    • Vollmayr-Lee, B.P.1    Luijten, E.2
  • 18
    • 0000837543 scopus 로고    scopus 로고
    • Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models
    • Cannas S A, de Magalhães A C N and Tamarit F A 2000 Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models Phys. Rev. 61 11521- 8
    • (2000) Phys. Rev. , vol.61 , pp. 11521-11528
    • Cannas, S.A.1    De Magalhães, A.C.N.2    Tamarit, F.A.3
  • 19
    • 0000276869 scopus 로고
    • On the equilibrium statistical mechanics of isothermal classical self-gravitating matter
    • Kiessling M K H 1989 On the equilibrium statistical mechanics of isothermal classical self-gravitating matter J. Stat. Phys. 55 203-57
    • (1989) J. Stat. Phys. , vol.55 , pp. 203-257
    • Kiessling, M.K.H.1
  • 21
    • 0003182706 scopus 로고
    • Behavior in large dimensions of the Potts and Heisenberg models
    • Kesten H and Schonmann R H 1990 Behavior in large dimensions of the Potts and Heisenberg models Rev. Math. Phys. 1 147-82
    • (1990) Rev. Math. Phys. , vol.1 , pp. 147-182
    • Kesten, H.1    Schonmann, R.H.2
  • 22
    • 26644440711 scopus 로고
    • Dependence of critical properties on dimensionality of spins
    • Stanley H E 1968 Dependence of critical properties on dimensionality of spins Phys. Rev. Lett. 20 589-92
    • (1968) Phys. Rev. Lett. , vol.20 , pp. 589-592
    • Stanley, H.E.1
  • 23
    • 84928635066 scopus 로고
    • Magnetism in one-dimensional systems - The Heisenberg model for infinite spin
    • Fisher M E 1964 Magnetism in one-dimensional systems - the Heisenberg model for infinite spin Am. J. Phys. 32 343-6
    • (1964) Am. J. Phys , vol.32 , pp. 343-346
    • Fisher, M.E.1
  • 24
    • 0034227677 scopus 로고    scopus 로고
    • Canonical solution of a system of long-range interacting rotators on a lattice
    • Campa A, Giansanti A and Moroni D 2000 Canonical solution of a system of long-range interacting rotators on a lattice Phys. Rev. E 62 303-6
    • (2000) Phys. Rev. E , vol.62 , pp. 303-306
    • Campa, A.1    Giansanti, A.2    Moroni, D.3
  • 25
    • 36149010034 scopus 로고
    • The spherical model of a ferromagnet
    • Berlin T H and Kac M 1952 The spherical model of a ferromagnet Phys. Rev. 86 821-35
    • (1952) Phys. Rev. , vol.86 , pp. 821-835
    • Berlin, T.H.1    Kac, M.2
  • 26
    • 36049054483 scopus 로고
    • Spherical model as the limit of infinite spin dimensionality
    • Stanley H E 1968 Spherical model as the limit of infinite spin dimensionality Phys. Rev. 176 718-22
    • (1968) Phys. Rev. , vol.176 , pp. 718-722
    • Stanley, H.E.1
  • 27
    • 0000403344 scopus 로고    scopus 로고
    • Rotators with long-range interactions: Connection with the mean-field approximation
    • Tamarit F and Anteneodo C 2000 Rotators with long-range interactions: connection with the mean-field approximation Phys. Rev. Lett. 84 208-11
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 208-211
    • Tamarit, F.1    Anteneodo, C.2
  • 28
    • 0035510259 scopus 로고    scopus 로고
    • Non-Gaussian equilibrium in a long-range Hamiltonian system
    • Latora V, Rapisarda A and Tsallis C 2001 Non-Gaussian equilibrium in a long-range Hamiltonian system Phys. Rev. E 64 056134
    • (2001) Phys. Rev. E , vol.64 , pp. 056134
    • Latora, V.1    Rapisarda, A.2    Tsallis, C.3
  • 29
    • 0036489579 scopus 로고    scopus 로고
    • On the microcanonical solution of a system of fully coupled particles
    • Antoni M, Hinrichsen H and Ruffo S 2002 On the microcanonical solution of a system of fully coupled particles Chaos Solitons Fractals 13 393-9
    • (2002) Chaos Solitons Fractals , vol.13 , pp. 393-399
    • Antoni, M.1    Hinrichsen, H.2    Ruffo, S.3
  • 30
    • 0036495605 scopus 로고    scopus 로고
    • Metastable states in a class of long-range Hamiltonian systems
    • Campa A, Giansanti A and Moroni D 2002 Metastable states in a class of long-range Hamiltonian systems Physica A 305 137-43
    • (2002) Physica A , vol.305 , pp. 137-143
    • Campa, A.1    Giansanti, A.2    Moroni, D.3
  • 31
    • 0001214534 scopus 로고
    • Clustering and relaxation in Hamiltonian long-range dynamics
    • Antoni M and Ruffo S 1995 Clustering and relaxation in Hamiltonian long-range dynamics Phys. Rev. E 52 2361-74
    • (1995) Phys. Rev. E , vol.52 , pp. 2361-2374
    • Antoni, M.1    Ruffo, S.2
  • 32
    • 0036495424 scopus 로고    scopus 로고
    • Microcanonical solutions of lattice models with long-range interactions
    • Barré J 2002 Microcanonical solutions of lattice models with long-range interactions Physica A 305 172-77
    • (2002) Physica A , vol.305 , pp. 172-177
    • Barré, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.