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Volumn 2010, Issue 7, 2010, Pages

Nonequivalence of ensembles in the Curie-Weiss anisotropic quantum Heisenberg model

Author keywords

Classical phase transitions (theory); Quantum phase transitions (theory); Solvable lattice models

Indexed keywords


EID: 77957079497     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/07/P07006     Document Type: Article
Times cited : (26)

References (35)
  • 1
    • 0001362553 scopus 로고
    • The gravo-thermal catastrophe in isothermal spheres and the onset of red-giant structure for stellar systems
    • Lynden-Bell D and Wood R, The gravo-thermal catastrophe in isothermal spheres and the onset of red-giant structure for stellar systems, 1968 Mon. Not. R. Astron. Soc. 138 495
    • (1968) Mon. Not. R. Astron. Soc. , vol.138 , pp. 495
    • Lynden-Bell, D.1    Wood, R.2
  • 2
    • 34250487879 scopus 로고
    • Systems with negative specific heat
    • Thirring W, Systems with negative specific heat, 1970 Z. Phys. 235 339
    • (1970) Z. Phys. , vol.235 , pp. 339
    • Thirring, W.1
  • 3
    • 68949187762 scopus 로고    scopus 로고
    • Statistical mechanics and dynamics of solvable models with long-range interactions
    • Campa A, Dauxois T and Ruffo S, Statistical mechanics and dynamics of solvable models with long-range interactions, 2009 Phys. Rep. 480 57
    • (2009) Phys. Rep. , vol.480 , pp. 57
    • Campa, A.1    Dauxois, T.2    Ruffo, S.3
  • 4
    • 0001214534 scopus 로고
    • Clustering and relaxation in Hamiltonian long-range dynamics
    • Antoni M and Ruffo S, Clustering and relaxation in Hamiltonian long-range dynamics, 1995 Phys. Rev. E 52 2361
    • (1995) Phys. Rev. E , vol.52 , pp. 2361
    • Antoni, M.1    Ruffo, S.2
  • 5
    • 29444442850 scopus 로고
    • Gravitating fermions in an infinite configuration space
    • Pflug A, Gravitating fermions in an infinite configuration space, 1980 Commun. Math. Phys. 78 83
    • (1980) Commun. Math. Phys. , vol.78 , pp. 83
    • Pflug, A.1
  • 6
    • 33646884627 scopus 로고    scopus 로고
    • A toolbox for lattice-spin models with polar molecules
    • Micheli A, Brennen G K and Zoller P, A toolbox for lattice-spin models with polar molecules, 2006 Nat. Phys. 2 341
    • (2006) Nat. Phys. , vol.2 , pp. 341
    • Micheli, A.1    Brennen, G.K.2    Zoller, P.3
  • 7
    • 77953708174 scopus 로고    scopus 로고
    • Nonequivalence of ensembles for long-range quantum spin systems in optical lattices
    • Kastner M, Nonequivalence of ensembles for long-range quantum spin systems in optical lattices, 2010 Phys. Rev. Lett. 104 240403
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 240403
    • Kastner, M.1
  • 8
    • 0010769686 scopus 로고
    • The anisotropic Heisenberg model in the long-range interaction limit
    • Pearce P A and Thompson C J, The anisotropic Heisenberg model in the long-range interaction limit, 1975 Commun. Math. Phys. 41 191
    • (1975) Commun. Math. Phys. , vol.41 , pp. 191
    • Pearce, P.A.1    Thompson, C.J.2
  • 9
    • 34250419793 scopus 로고
    • Quantum microcanonical entropy of a pair of observables
    • Truong L, Quantum microcanonical entropy of a pair of observables, 1974 Commun. Math. Phys. 39 207
    • (1974) Commun. Math. Phys. , vol.39 , pp. 207
    • Truong, L.1
  • 10
    • 0141673382 scopus 로고    scopus 로고
    • Existence and order of the phase transition of the Ising model with fixed magnetization
    • Kastner M, Existence and order of the phase transition of the Ising model with fixed magnetization, 2002 J. Stat. Phys. 109 133
    • (2002) J. Stat. Phys. , vol.109 , pp. 133
    • Kastner, M.1
  • 12
    • 77957037729 scopus 로고    scopus 로고
    • Microcanonical entropy of the spherical model with nearest-neighbour interactions
    • Kastner M, Microcanonical entropy of the spherical model with nearest-neighbour interactions, 2009 J. Stat. Mech. P12007
    • (2009) J. Stat. Mech.
    • Kastner, M.1
  • 13
    • 0003095621 scopus 로고
    • Beweis des ergodensatzes und des H-theorems in der neuen mechanik
    • Neumann J V, Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik, 1929 Z. Phys. 57 30
    • (1929) Z. Phys. , vol.57 , pp. 30
    • Neumann, J.V.1
  • 15
    • 33746824543 scopus 로고    scopus 로고
    • Quantum macrostates, equivalence of ensembles, and an H-theorem
    • De Roeck W, Maes C and Netočny K, Quantum macrostates, equivalence of ensembles, and an H-theorem, 2006 J. Math. Phys. 47 073303
    • (2006) J. Math. Phys. , vol.47 , pp. 073303
    • De Roeck, W.1    Maes, C.2    Netočny, K.3
  • 16
    • 49649142534 scopus 로고
    • The Heisenberg model in the Weiss limit
    • Scharf G, The Heisenberg model in the Weiss limit, 1972 Phys. Lett. A 38 123
    • (1972) Phys. Lett. A , vol.38 , pp. 123
    • Scharf, G.1
  • 17
    • 0010907855 scopus 로고
    • An exact calculation of the free energy in systems with separable interactions
    • Tindemans P A J and Capel H W, An exact calculation of the free energy in systems with separable interactions, 1974 Physica 72 433
    • (1974) Physica , vol.72 , pp. 433
    • Tindemans, P.A.J.1    Capel, H.W.2
  • 18
    • 84968520470 scopus 로고
    • On the product of semi-groups of operators
    • Trotter H F, On the product of semi-groups of operators, 1959 Proc. Am. Math. Soc. 10 545
    • (1959) Proc. Am. Math. Soc. , vol.10 , pp. 545
    • Trotter, H.F.1
  • 19
    • 0001043154 scopus 로고
    • On a method of calculating quantum distribution functions
    • Stratonovich R L, On a method of calculating quantum distribution functions, 1958 Sov. Phys.-Dokl. 2 416
    • (1958) Sov. Phys.-Dokl , vol.2 , pp. 416
    • Stratonovich, R.L.1
  • 20
    • 32844459049 scopus 로고
    • Calculation of partition functions
    • Hubbard J, Calculation of partition functions, 1959 Phys. Rev. Lett. 3 77
    • (1959) Phys. Rev. Lett. , vol.3 , pp. 77
    • Hubbard, J.1
  • 23
    • 0004267646 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Rockafellar R T, 1970 Convex Analysis (Princeton, NJ: Princeton University Press)
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 24
    • 0034557094 scopus 로고    scopus 로고
    • Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
    • Ellis R S, Haven K and Turkington B, Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles, 2000 J. Stat. Phys. 101 999
    • (2000) J. Stat. Phys. , vol.101 , pp. 999
    • Ellis, R.S.1    Haven, K.2    Turkington, B.3
  • 25
    • 3042774554 scopus 로고    scopus 로고
    • An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles
    • Touchette H, Ellis R S and Turkington B, An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles, 2004 Physica A 340 138
    • (2004) Physica A , vol.340 , pp. 138
    • Touchette, H.1    Ellis, R.S.2    Turkington, B.3
  • 26
    • 34548134506 scopus 로고    scopus 로고
    • Partial equivalence of statistical ensembles and kinetic energy
    • Casetti L and Kastner M, Partial equivalence of statistical ensembles and kinetic energy, 2007 Physica A 384 318
    • (2007) Physica A , vol.384 , pp. 318
    • Casetti, L.1    Kastner, M.2
  • 27
    • 70649094420 scopus 로고    scopus 로고
    • Finite-temperature fidelity-metric approach to the Lipkin-Meshkov-Glick model
    • Scherer D D, Müller C A and Kastner M, Finite-temperature fidelity-metric approach to the Lipkin-Meshkov-Glick model, 2009 J. Phys. A: Math. Theor. 42 465304
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 465304
    • Scherer, D.D.1    Müller, C.A.2    Kastner, M.3
  • 28
    • 49849118782 scopus 로고
    • On the high-density limit of Heisenberg and Ising ferromagnets
    • Niemeijer T, On the high-density limit of Heisenberg and Ising ferromagnets, 1970 Physica 48 467
    • (1970) Physica , vol.48 , pp. 467
    • Niemeijer, T.1
  • 29
    • 49649136565 scopus 로고
    • On the thermodynamic equivalence of van der Waals spin systems
    • Vertogen G and de Vries A S, On the thermodynamic equivalence of van der Waals spin systems, 1972 Physica 59 634
    • (1972) Physica , vol.59 , pp. 634
    • Vertogen, G.1    De Vries, A.S.2
  • 30
    • 67649197638 scopus 로고    scopus 로고
    • Microcanonical phase diagrams of short-range ferromagnets
    • Kastner M and Pleimling M, Microcanonical phase diagrams of short-range ferromagnets, 2009 Phys. Rev. Lett. 102 240604
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 240604
    • Kastner, M.1    Pleimling, M.2
  • 31
    • 0033706277 scopus 로고    scopus 로고
    • Bose-Einstein condensates with 1/γ interatomic attraction: Electromagnetically induced gravity
    • O'Dell D, Giovanazzi S, Kurizki G and Akulin V M, Bose-Einstein condensates with 1/γ interatomic attraction: electromagnetically induced gravity, 2000 Phys. Rev. Lett. 84 5687
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5687
    • O'Dell, D.1    Giovanazzi, S.2    Kurizki, G.3    Akulin, V.M.4
  • 32
    • 33645750050 scopus 로고    scopus 로고
    • Mean-field driven first-order phase transitions in systems with long-range interactions
    • Biskup M, Chayes L and Crawford N, Mean-field driven first-order phase transitions in systems with long-range interactions, 2006 J. Stat. Phys. 122 1139
    • (2006) J. Stat. Phys. , vol.122 , pp. 1139
    • Biskup, M.1    Chayes, L.2    Crawford, N.3
  • 33
    • 70350212944 scopus 로고    scopus 로고
    • Mean-field analysis of low-dimensional systems
    • Chayes L, Mean-field analysis of low-dimensional systems, 2009 Commun. Math. Phys. 292 303
    • (2009) Commun. Math. Phys. , vol.292 , pp. 303
    • Chayes, L.1


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