Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We consider the p-spin spherical spin-glass model in the presence of an external magnetic field as a general example of a mean-field system where a one-step replica symmetry breaking (1-RSB) occurs. In this context we compute the complexity of the Thouless-Anderson-Palmer states, performing a quenched computation. We find what the general connection is between this method and the standard static 1-RSB one, formulating a clear mapping between the parameters used in the two different calculations. A dynamical analysis of the model confirms the validity of our results.

Registro:

Documento: Artículo
Título:Quenched complexity of the mean-field p-spin spherical model with external magnetic field
Autor:Cavagna, A.; Garrahan, J.P.; Giardina, I.
Filiación:Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Año:1999
Volumen:32
Número:5
Página de inicio:711
Página de fin:723
DOI: http://dx.doi.org/10.1088/0305-4470/32/5/004
Título revista:Journal of Physics A: Mathematical and General
Título revista abreviado:J. Phys. Math. Gen.
ISSN:03054470
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v32_n5_p711_Cavagna

Referencias:

  • Palmer, R.G., (1982) Adv. Phys., 31, p. 669
  • Mézard, M., Parisi, G., Virasoro, M.A., (1986) Spin Glass Theory and Beyond, , Singapore: World Scientific
  • Crisanti, A., Sommers, H.-J., (1992) Z. Phys. B, 87, p. 341
  • Cugliandolo, L.F., Kurchan, J., (1993) Phys. Rev. Lett., 71, p. 173
  • Cugliandolo, L.F., Le Doussal, P., (1996) Phys. Rev. E, 53, p. 1525
  • Sherrington, D., Kirkpatrick, S., (1975) Phys. Rev. Lett., 35, p. 1792
  • Cugliandolo, L.F., Kurchan, J., (1994) J. Phys. A: Math. Gen., 27, p. 5749
  • Thouless, D.J., Anderson, P.W., Palmer, R.G., (1977) Phil. Mag., 35, p. 593
  • Bray, A.J., Moore, M.A., (1980) J. Phys. C: Solid State Phys., 13, pp. L469
  • Crisanti, A., Sommers, H.-J., (1995) J. Physique I, 5, p. 805
  • Kurchan, J., Parisi, G., Virasoro, M.A., (1993) J. Physique I, 3, p. 1819
  • Monasson, R., (1995) Phys. Rev. Lett., 75, p. 2847
  • Franz, S., Parisi, G., (1995) J. Physique I, 5, p. 1401
  • Cavagna, A., Giardina, I., Parisi, G., (1998) Phys. Rev. B, 57, p. 11251
  • Kurchan, J., Laluox, C., (1996) J. Phys. A: Math. Gen., 29, p. 1929
  • Bouchaud, J.P., Cugliandolo, L.F., Kurchan, J., Mézard, M., (1997) Spin-Glasses and Random Fields, , ed A P Young (Singapore: World Scientific)
  • Rieger, H., (1992) Phys. Rev. B, 46, p. 14655
  • Potters, M., Parisi, G., (1995) Europhys. Lett., 32, p. 13
  • Potters, M., Parisi, G., (1995) J. Phys. A: Math. Gen., 28, p. 5267
  • Mézard, M., Parisi, G., (1990) J. Phys. A: Math. Gen., 23, pp. L1229
  • Mézard, M., Parisi, G., (1991) J. Physique I, 1, p. 809
  • Gross, D.J., Mézard, M., (1984) Nucl. Phys. B, 240, p. 431
  • Kirkpatrick, T.R., Thirumalai, D., (1987) Phys. Rev. B, 36, p. 5388
  • Becchi, C., Rouet, A., Stora, R., (1974) Phys. Lett. B, 52, p. 344
  • Becchi, C., Rouet, A., Stora, R., (1976) Ann. Phys., 98, p. 287
  • Tyutin, I.V., (1975), p. 39. , Lebedev Preprint FIAN; Parisi, G., Sourlas, N., (1979) Phys. Rev. Lett., 43, p. 744
  • Parisi, G., Sourlas, N., (1982) Nucl. Phys. B, 206, p. 321
  • Zinn-Justin, J., (1989) Quantum Field Theory and Critical Phenomena, , Oxford: Clarendon
  • Mézard, M., Parisi, G., Sourlas, N., Toulouse, G., Virasoro, M.A., (1984) J. Physique, 45, p. 843
  • Mézard, M., Parisi, G., Virasoro, M.A., (1986) Europhys. Lett., 1, p. 77
  • Nieuwenhuizen, Th.M., (1998) J. Phys. A: Math. Gen., 31, pp. L201
  • Hertz, J., Sherrington, D., Nieuwenhuizen, Th.M., (1998), Preprint cond-mat/9811373; Kirkpatrick, T.R., Wolynes, P.G., (1987) Phys. Rev. B, 36, p. 8552
  • Kirkpatrick, T.R., Wolynes, P.G., (1987) Phys. Rev. A, 35, p. 3072
  • Horner, H., (1987) Z. Phys. B, 66, p. 175
  • Crisanti, A., Horner, H., Sommers, H.-J., (1993) Z. Phys. B, 92, p. 257
  • Sompolinsky, H., Zippelius, A., (1982) Phys. Rev. B, 25, p. 6860
  • De Dominicis, C., Gabay, M., Garel, T., Orland, H., (1980) J. Physique, 41, p. 923
  • Roberts, S.A., (1981) J. Phys. C: Solid State Phys., 14, p. 3015
  • Bray, A.J., Moore, M.A., (1980) J. Phys. C: Solid State Phys., 13, pp. L907
  • Bray, A.J., Moore, M.A., (1981) J. Phys. A: Math. Gen., 14, pp. L377
  • Marinari, E., Naitza, C., Zuliani, F., Parisi, G., Picco, M., Ritort, F., (1998) Phys. Rev. Lett., 81, p. 1698
  • Moore, M.A., Bokil, H., Drossel, B., (1998) Phys. Rev. Lett., 81, p. 4252. , and references therein

Citas:

---------- APA ----------
Cavagna, A., Garrahan, J.P. & Giardina, I. (1999) . Quenched complexity of the mean-field p-spin spherical model with external magnetic field. Journal of Physics A: Mathematical and General, 32(5), 711-723.
http://dx.doi.org/10.1088/0305-4470/32/5/004
---------- CHICAGO ----------
Cavagna, A., Garrahan, J.P., Giardina, I. "Quenched complexity of the mean-field p-spin spherical model with external magnetic field" . Journal of Physics A: Mathematical and General 32, no. 5 (1999) : 711-723.
http://dx.doi.org/10.1088/0305-4470/32/5/004
---------- MLA ----------
Cavagna, A., Garrahan, J.P., Giardina, I. "Quenched complexity of the mean-field p-spin spherical model with external magnetic field" . Journal of Physics A: Mathematical and General, vol. 32, no. 5, 1999, pp. 711-723.
http://dx.doi.org/10.1088/0305-4470/32/5/004
---------- VANCOUVER ----------
Cavagna, A., Garrahan, J.P., Giardina, I. Quenched complexity of the mean-field p-spin spherical model with external magnetic field. J. Phys. Math. Gen. 1999;32(5):711-723.
http://dx.doi.org/10.1088/0305-4470/32/5/004