메뉴 건너뛰기




Volumn 235, Issue 3, 2003, Pages 379-425

Glauber dynamics of the random energy model I. Metastable motion on the extreme states

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038270756     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0798-4     Document Type: Article
Times cited : (61)

References (29)
  • 1
    • 0037830212 scopus 로고    scopus 로고
    • Aging and spin glasses
    • [Be], Beijing, China, Li, Ta, Tsien et al. (eds.), China: Higher Education Press
    • [Be] Ben Arous, G.: Aging and spin glasses. In: Proceedings of the International Congress of Mathematicians 2002, Beijing, China, Li, Ta, Tsien et al. (eds.). Vol. 3, China: Higher Education Press, 2002, pp. 3-14
    • (2002) Proceedings of the International Congress of Mathematicians 2002 , vol.3 , pp. 3-14
    • Ben Arous, G.1
  • 2
    • 0001134242 scopus 로고
    • Weak ergodicity breaking and aging in disordered systems
    • [B]
    • [B] Bouchaud, J.P.: Weak ergodicity breaking and aging in disordered systems. J. Phys. I (France) 2, 1705 (1992).
    • (1992) J. Phys. I (France) , vol.2 , pp. 1705
    • Bouchaud, J.P.1
  • 3
    • 0010294155 scopus 로고    scopus 로고
    • Statistical mechanics of disordered systems
    • [Bo], Aarhus
    • [Bo] Bovier, A.: Statistical mechanics of disordered systems. MaPhySto Lecture Notes 10, Aarhus, 2001
    • (2001) MaPhySto Lecture Notes , vol.10
    • Bovier, A.1
  • 4
    • 0038806647 scopus 로고    scopus 로고
    • Glauber dynamics of the random energy model. II. Aging below the critical temperature
    • [BBG] to appear
    • [BBG] Ben Arous, G., Bovier, A., Gayrard, V: Glauber dynamics of the random energy model. II. Aging below the critical temperature, Commun. Math. Phys. to appear
    • Commun. Math. Phys.
    • Ben Arous, G.1    Bovier, A.2    Gayrard, V.3
  • 5
    • 0001407169 scopus 로고    scopus 로고
    • Out-of-equilibrium dynamics in spi-glasses and other glassy systems
    • [BCKM], A.P. Young (ed). Singapore: World Scientific
    • [BCKM] Bouchaud, J.P., Cugliandolo, L., Kurchan, J., Mézard, M.: Out-of-equilibrium dynamics in spi-glasses and other glassy systems. In: Spin-Glasses and Random Fields, A.P. Young (ed). Singapore: World Scientific, 1998
    • (1998) Spin-Glasses and Random Fields
    • Bouchaud, J.P.1    Cugliandolo, L.2    Kurchan, J.3    Mézard, M.4
  • 8
    • 0035605848 scopus 로고    scopus 로고
    • Metastability in stochastic dynamics of disordered mean field models
    • [BEGK1]
    • [BEGK1] Bovier, A., Eckhoff, M., V. Gayrard, M., Klein, M.: Metastability in stochastic dynamics of disordered mean field models. Probab. Theory Relat. Fields 119, 99-161 (2001)
    • (2001) Probab. Theory Relat. Fields , vol.119 , pp. 99-161
    • Bovier, A.1    Eckhoff, M.V.2    Gayrard, M.3    Klein, M.4
  • 9
    • 0036019245 scopus 로고    scopus 로고
    • Metastability and low lying spectra in reversible Markov chains
    • [BEGK2]
    • [BEGK2] Bovier, A., Eckhoff, M., Gayrard, V., Klein, M.: Metastability and low lying spectra in reversible Markov chains. Commun. Math. Phys. 228, 219-255 (2002)
    • (2002) Commun. Math. Phys. , vol.228 , pp. 219-255
    • Bovier, A.1    Eckhoff, M.2    Gayrard, V.3    Klein, M.4
  • 10
    • 0036018190 scopus 로고    scopus 로고
    • Fluctuations of the free energy in the REM and the p-spin SK models
    • [BKL]
    • [BKL] Bovier, A., Kurkova, I., Löwe, M.: Fluctuations of the free energy in the REM and the p-spin SK models. Ann. Probab. 30, 605-651 (2002)
    • (2002) Ann. Probab. , vol.30 , pp. 605-651
    • Bovier, A.1    Kurkova, I.2    Löwe, M.3
  • 11
    • 22244476443 scopus 로고    scopus 로고
    • Models of traps and glass phenomenology
    • [BM]
    • [BM] Bouchaud, J.P., Monthus, C.: Models of traps and glass phenomenology. J. Phys. A-Math. Gen. 29(14), 3847-3869 (1996)
    • (1996) J. Phys. A-Math. Gen. , vol.29 , Issue.14 , pp. 3847-3869
    • Bouchaud, J.P.1    Monthus, C.2
  • 12
    • 0000451978 scopus 로고    scopus 로고
    • Multiple scaling regimes in simple aging models
    • [BMR]
    • [BMR] Bouchaud, J.P., Maass, P., Rinn, B.: Multiple scaling regimes in simple aging models. Phys. Rev. Letts. 84(23), 5403-5406 (2000)
    • (2000) Phys. Rev. Letts. , vol.84 , Issue.23 , pp. 5403-5406
    • Bouchaud, J.P.1    Maass, P.2    Rinn, B.3
  • 13
    • 0001150840 scopus 로고
    • A Markovian function of a Markov Chain
    • [BR]
    • [BR] Burke, C.J., Rosenblatt, M.: A Markovian function of a Markov Chain. Ann. Math. Statist. 29, 1112-1122 (1958)
    • (1958) Ann. Math. Statist. , vol.29 , pp. 1112-1122
    • Burke, C.J.1    Rosenblatt, M.2
  • 14
    • 21844508343 scopus 로고
    • Full dynamical solution for a spherical spin-glass model
    • [CD]
    • [CD] Cugliandolo, L., Dean, D.: Full dynamical solution for a spherical spin-glass model. J. Phys. A - Math. Gen. 28(15), 4213-4234 (1995)
    • (1995) J. Phys. A - Math. Gen. , vol.28 , Issue.15 , pp. 4213-4234
    • Cugliandolo, L.1    Dean, D.2
  • 15
    • 35949021286 scopus 로고
    • Random energy model: Limit of a family of disordered models
    • [D1]
    • [D1] Derrida, B., Random energy model: Limit of a family of disordered models. Phys. Rev. Letts. 45, 79-82 (1980)
    • (1980) Phys. Rev. Letts. , vol.45 , pp. 79-82
    • Derrida, B.1
  • 16
    • 4243861085 scopus 로고
    • Random energy model: An exactly solvable model of disordered systems
    • [D2]
    • [D2] Derrida, B.: Random energy model: An exactly solvable model of disordered systems. Phys. Rev. B 24, 2613-2626 (1981)
    • (1981) Phys. Rev. B , vol.24 , pp. 2613-2626
    • Derrida, B.1
  • 17
    • 0001588819 scopus 로고
    • On a third-order phase transition
    • [Ei]
    • [Ei] Eisele, Th.: On a third-order phase transition. Commun. Math. Phys. 90, 125-159 (1983)
    • (1983) Commun. Math. Phys. , vol.90 , pp. 125-159
    • Eisele, Th.1
  • 18
  • 19
    • 0038506585 scopus 로고
    • Thermodynamic limit of the q-state Potts-Hopfield model with infinitely many patterns
    • [G]
    • [G] Gayrard, V.: Thermodynamic limit of the q-state Potts-Hopfield model with infinitely many patterns. J. Stat. Phys. 68, 977-1011 (1992)
    • (1992) J. Stat. Phys. , vol.68 , pp. 977-1011
    • Gayrard, V.1
  • 20
    • 0000518213 scopus 로고
    • Fluctuations in Derrida's random energy and generalized random energy models
    • [GMP]
    • [GMP] Galvez, A., Martinez, S., Picco, P.: Fluctuations in Derrida's random energy and generalized random energy models. J. Stat. Phys. 54, 515-529 (1989)
    • (1989) J. Stat. Phys. , vol.54 , pp. 515-529
    • Galvez, A.1    Martinez, S.2    Picco, P.3
  • 24
    • 0034336332 scopus 로고    scopus 로고
    • Convergence to equilibrium for spin glasses
    • [M]
    • [M] Mathieu, P.: Convergence to equilibrium for spin glasses. Commun. Math. Phys. 215, 57-68 (2000)
    • (2000) Commun. Math. Phys. , vol.215 , pp. 57-68
    • Mathieu, P.1
  • 26
    • 0001132742 scopus 로고
    • On the existence of thermodynamics for the random energy model
    • [OP]
    • [OP] Olivieri, E., Picco, P.: On the existence of thermodynamics for the random energy model. Commun. Math. Phys. 96, 125-144 (1984)
    • (1984) Commun. Math. Phys. , vol.96 , pp. 125-144
    • Olivieri, E.1    Picco, P.2
  • 27
    • 0000545781 scopus 로고
    • A mathematical reformulation of Derrida's REM and GREM
    • [Ru]
    • [Ru] Ruelle, D.: A mathematical reformulation of Derrida's REM and GREM. Commun. Math. Phys. 108, 225-239 (1987)
    • (1987) Commun. Math. Phys. , vol.108 , pp. 225-239
    • Ruelle, D.1
  • 28
    • 0003195845 scopus 로고
    • Potential theory on infinite networks
    • [So], Berlin-Heidelberg-New York: Springer
    • [So] Soardi, P.M.: Potential theory on infinite networks. LNM 1590, Berlin-Heidelberg-New York: Springer, 1994
    • (1994) LNM , vol.1590
    • Soardi, P.M.1
  • 29
    • 0040519905 scopus 로고
    • Principles of random walks. Second edition
    • [Sp]. New York-Heidelberg: Springer-Verlag
    • [Sp] Spitzer, F.: Principles of random walks. Second edition. Graduate Texts in Mathematics, Vol. 34. New York-Heidelberg: Springer-Verlag, 1976
    • (1976) Graduate Texts in Mathematics , vol.34
    • Spitzer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.