메뉴 건너뛰기




Volumn 15, Issue 3, 2005, Pages 2203-2254

Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model

Author keywords

Equilibrium macrostates; First order phase transition; Large deviation principle; Second order phase transition

Indexed keywords


EID: 23744470029     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051605000000421     Document Type: Article
Times cited : (34)

References (25)
  • 2
    • 0035898638 scopus 로고    scopus 로고
    • Inequivalence of ensembles in a system with long-range interactions
    • BARRÉ, 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
    • Barré, J.1    Mukamel, D.2    Ruffo, S.3
  • 5
    • 41849134194 scopus 로고
    • On the possibility of first-order phase transitions in Ising systems of triplet ions with zero-field splitting
    • CAPEL, H. W. (1966). On the possibility of first-order phase transitions in Ising systems of triplet ions with zero-field splitting. Physica 32 966-987.
    • (1966) Physica , vol.32 , pp. 966-987
    • Capel, H.W.1
  • 6
    • 0346019599 scopus 로고
    • On the possibility of first-order phase transitions in Ising systems of triplet ions with zero-field splitting II
    • CAPEL, H. W. (1967). On the possibility of first-order phase transitions in Ising systems of triplet ions with zero-field splitting II. Physica 33 295-331.
    • (1967) Physica , vol.33 , pp. 295-331
    • Capel, H.W.1
  • 7
    • 21844464303 scopus 로고    scopus 로고
    • Complete analysis of phase transitions and ensemble equivalence for the Curie-Weiss-Potts model
    • COSTENIUC, M., ELLIS, R. S. and TOUCHETTE, H. (2005). Complete analysis of phase transitions and ensemble equivalence for the Curie-Weiss-Potts model. J. Math. Phys. 46 063301.
    • (2005) J. Math. Phys. , vol.46 , pp. 063301
    • Costeniuc, M.1    Ellis, R.S.2    Touchette, H.3
  • 8
    • 0000334949 scopus 로고
    • Symmetry breaking and random waves for magnetic systems on a circle
    • EISELE, T. and ELLIS, R. S. (1983). Symmetry breaking and random waves for magnetic systems on a circle. Z. Wahrsch. Verw. Gebiete 63 297-348.
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.63 , pp. 297-348
    • Eisele, T.1    Ellis, R.S.2
  • 10
    • 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. (2000). Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles. J. Statist. Phys. 101 999-1064.
    • (2000) J. Statist. Phys. , vol.101 , pp. 999-1064
    • Ellis, R.S.1    Haven, K.2    Turkington, B.3
  • 11
    • 0000868919 scopus 로고
    • The GHS and other correlation inequalities for a class of even ferromagnets
    • ELLIS, R. S., MONROE, J. L. and NEWMAN, C. M. (1976). The GHS and other correlation inequalities for a class of even ferromagnets. Comm. Math. Phys. 46 167-182.
    • (1976) Comm. Math. Phys. , vol.46 , pp. 167-182
    • Ellis, R.S.1    Monroe, J.L.2    Newman, C.M.3
  • 12
    • 0008999076 scopus 로고
    • Limit theorems for sums of dependent random variables occurring in statistical mechanics
    • ELLIS, R. S. and NEWMAN, C. M. (1979). Limit theorems for sums of dependent random variables occurring in statistical mechanics. Z. Wahrsch. Verw. Gebiete 44 117-139.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.44 , pp. 117-139
    • Ellis, R.S.1    Newman, C.M.2
  • 14
    • 0039989815 scopus 로고
    • Limit theorems for sums of dependent random variables occurring in statistical mechanics, II: Conditioning, multiple phases, and metastability
    • ELLIS, R. S., NEWMAN, C. M. and ROSEN, J. S. (1980). Limit theorems for sums of dependent random variables occurring in statistical mechanics, II: Conditioning, multiple phases, and metastability. Z. Wahrsch. Verw. Gebiete 51 153-169.
    • (1980) Z. Wahrsch. Verw. Gebiete , vol.51 , pp. 153-169
    • Ellis, R.S.1    Newman, C.M.2    Rosen, J.S.3
  • 15
    • 1642329881 scopus 로고    scopus 로고
    • Thermodynamic verses statistical nonequivalence of ensembles for the mean-field Blume-Emery-Griffiths model
    • ELLIS, R. S., TOUCHETTE, H. and TURKINGTON, B. (2004). Thermodynamic verses statistical nonequivalence of ensembles for the mean-field Blume-Emery-Griffiths model. Phys. A 335 518-538.
    • (2004) Phys. A , vol.335 , pp. 518-538
    • Ellis, R.S.1    Touchette, H.2    Turkington, B.3
  • 16
    • 4243754192 scopus 로고
    • Multicritical phase diagrams of the Blume-Emery-Griffiths model with repulsive biquadratic coupling
    • HOSTON, W. and BERKER, A. N. (1991). Multicritical phase diagrams of the Blume-Emery-Griffiths model with repulsive biquadratic coupling. Phys. Rev. Lett. 67 1027-1030.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 1027-1030
    • Hoston, W.1    Berker, A.N.2
  • 17
    • 0001644909 scopus 로고
    • Doped antiferromagnets in the weakhopping limit
    • KIVELSON, S. A., EMERY, V. J. and LIN, H. Q. (1990). Doped antiferromagnets in the weakhopping limit. Phys. Rev. B 42 6523-6530.
    • (1990) Phys. Rev. B , vol.42 , pp. 6523-6530
    • Kivelson, S.A.1    Emery, V.J.2    Lin, H.Q.3
  • 18
    • 16844386491 scopus 로고
    • Spin-1 lattice-gas model. I. Condensation and solidification of a simple fluid
    • LAJZEROWICZ, J. and SIVARDIÈRE, J. (1975). Spin-1 lattice-gas model. I. Condensation and solidification of a simple fluid. Phys. Rev. A 11 2079-2089.
    • (1975) Phys. Rev. A , vol.11 , pp. 2079-2089
    • Lajzerowicz, J.1    Sivardière, J.2
  • 20
    • 4243056062 scopus 로고
    • First- And second-order phase transitions in Potts models: Renormalization-group solution
    • NIENHUIS, B., BERKER, A. N., RIEDEL, E. K. and SCHICK, M. (1979). First- and second-order phase transitions in Potts models: Renormalization-group solution. Phys. Rev. Lett. 43 737-740.
    • (1979) Phys. Rev. Lett. , vol.43 , pp. 737-740
    • Nienhuis, B.1    Berker, A.N.2    Riedel, E.K.3    Schick, M.4
  • 23
    • 0001597878 scopus 로고
    • Spin-1 model of a microemulsion
    • SCHICK, M. and SHIH, W.-H. (1986). Spin-1 model of a microemulsion. Phys. Rev. B 34 1797-1801.
    • (1986) Phys. Rev. B , vol.34 , pp. 1797-1801
    • Schick, M.1    Shih, W.-H.2
  • 24
    • 35949029577 scopus 로고
    • Spin-1 lattice-gas model. II. Condensation and phase separation in a binary fluid
    • SIVARDIÈRE, J. and LAJZEROWICZ, J. (1975). Spin-1 lattice-gas model. II. Condensation and phase separation in a binary fluid. Phys. Rev. A 11 2090-2100.
    • (1975) Phys. Rev. A , vol.11 , pp. 2090-2100
    • Sivardière, J.1    Lajzerowicz, J.2
  • 25
    • 33744608412 scopus 로고
    • Spin-1 lattice-gas model. III. Tricritical points in binary and ternary fluids
    • SIVARDIÈRE, J. and LAJZEROWICZ, J. (1975). Spin-1 lattice-gas model. III. Tricritical points in binary and ternary fluids. Phys. Rev. A 11 2101-2110.
    • (1975) Phys. Rev. A , vol.11 , pp. 2101-2110
    • Sivardière, J.1    Lajzerowicz, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.