Model glasses coupled to two different heat baths

European Physical Journal B

Volumn 16, Issue 2, 2000, Pages 317-335

  Allahverdyan, A E ^a,c   Nieuwenhuizen, Th M ^b   Saakian, D B ^a  

^a YEREVAN PHYSICS INSTITUTE   (Armenia)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

05.70.Ln Nonequilibrium and irreversible thermodynamics; 64.70.Pf glass transitions; 75.10.Nr Spin glass and other random models

Indexed keywords

EID: 0042724975     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510070233     Document Type: Article

References (66)

1. M. Mezard, G. Parisi, M.A. Virasoro, Spin-Glass Theory and Beyond (World Scientific, Singapore, 1986).
2. K. Binder, A.P. Young, Rev. Mod. Phys. 58, 801 (1986).
3. R.L. Stratonovich, Nonlinear Nonequilibrium Thermodynamics I (Springer, 1994).
4. L.D. Landau, E.M. Lifshitz, Statistical Physics, Part 1 (Pergamon Press, 1980).
5. S.R. de Groot, P. Mazur, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
6. P.G. Bergmann, J.L. Lebowitz, Phys. Rev. 99, 578 (1955); H. Spohn, J.L. Lebowitz, in Advances in Chemical Physics, edited by S.A. Rice (John Wiley and Sons, 1978).
7. P.G. Bergmann, J.L. Lebowitz, Phys. Rev. 99, 578 (1955); H. Spohn, J.L. Lebowitz, in Advances in Chemical Physics, edited by S.A. Rice (John Wiley and Sons, 1978).
8. J. Meixner, in A Critical Review of Thermodynamics, edited by E.B. Stuart (Oxford University Press, 1970).
9. M. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1982).
10. E. Nagaev, Magnets with Complicate Exchange Interaction (Nauka, Moscow, 1988).
11. A.S. Andreenko, S.A. Nikitin, Uspekhi Fizicheskikh Nauk 167, 605 (1997).
12. V.L. Pokrovskii, A.Z. Patashinskii, Fluctuation Theory of Phase Transitions (Nauka, Moscow, 1982).
13. R.O. Davies, G.O. Jones, Adv. Phys. 2, 370 (1953).
14. J. Jäckle, Philos. Mag. B 44, 533 (1981).
15. L.F. Cugliandolo, J. Kurchan Phys. Rev. Lett. 71, 173 (1993); Philos. Mag. B 71, 50 (1995).
16. L.F. Cugliandolo, J. Kurchan Phys. Rev. Lett. 71, 173 (1993); Philos. Mag. B 71, 50 (1995).
17. L. F. Cugliandolo, J. Kurchan, L. Peliti, Phys. Rev. E 55, 3898 (1997); L.F. Cugliandolo, J. Kurchan cond-mat/9807226.
18. L. F. Cugliandolo, J. Kurchan, L. Peliti, Phys. Rev. E 55, 3898 (1997); L.F. Cugliandolo, J. Kurchan cond-mat/9807226.
19. Th.M. Nieuwenhuizen, J. Phys. A. Lett. 31, L201 (1998).
20. J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan, M. Mezard, in Spin-Glasses and Random Fields, edited by A.P. Young, (World Scientific, 1998).
21. W. Götze, L. Sjogren, Rep. Prog. Phys. 55, 241 (1992); W. Götze, J. Phys. Cond. Mat. 11, 1 (1999).
22. W. Götze, L. Sjogren, Rep. Prog. Phys. 55, 241 (1992); W. Götze, J. Phys. Cond. Mat. 11, 1 (1999).
23. For a review and further references about phase transitions in nonequilibrium steady states, see: B. Schmittmann, R.K.P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, New York, 1996).
24. M. Roger, M. Debieu, J.H. Hetherington, Rev. Mod. Phys. 55, 1 (1983).
25. T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. A 34, 1045 (1986); T.R. Kirkpatrick, D. Thirumalai, Phys. Rev. B 36, 5388 (1987); T.R. Kirkpatrick, D. Thirumalai, P.G. Wolynes, Phys. Rev. A 40, 2047 (1989).
26. T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. A 34, 1045 (1986); T.R. Kirkpatrick, D. Thirumalai, Phys. Rev. B 36, 5388 (1987); T.R. Kirkpatrick, D. Thirumalai, P.G. Wolynes, Phys. Rev. A 40, 2047 (1989).
27. T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. A 34, 1045 (1986); T.R. Kirkpatrick, D. Thirumalai, Phys. Rev. B 36, 5388 (1987); T.R. Kirkpatrick, D. Thirumalai, P.G. Wolynes, Phys. Rev. A 40, 2047 (1989).
28. H. Horner, Z. Phys. B 57, 29 (1984); ibid 57, 39 (1984).
29. H. Horner, Z. Phys. B 57, 29 (1984); ibid 57, 39 (1984).
30. R. Landauer, J.W.F. Woo, Phys. Rev. A 6, 2205 (1972).
31. A.C.C. Coolen, R.W. Penney, D. Sherrington, J. Phys. A 26, 3681 (1993).
32. R.W. Penney, D. Sherrington, J. Phys. A 27, 4027 (1994).
33. G. Jongen, D. Bolle, A.C.C. Coolen, J. Phys. A 31, L737-L742 (1998).
34. N. Caticha, J. Phys. A 27, 5501 (1994).
35. Vik. Dotsenko, M. Mezard, S. Franz, J. Phys. A 27, 2351 (1994).
36. I. Kondor, J. Phys. A 16, L127 (1983).
37. J.M. Kosterlitz, D.J. Thouless, R.C. Jones, Phys. Rev. Lett. 36, 1217 (1976).
38. E. Gardner, Nucl. Phys. (B)[FS14] 257, 747 (1985).
39. A. Crisanti, H.J. Sommers, Z. Phys. B 87, 341 (1992).
40. J. Kurchan, G. Parisi, M.A. Virasoro, J. Phys. I France 3, 1819 (1993).
41. H. Sompolinsky, Phys. Rev. Lett. 47, 935 (1981); Philos. Mag. B 50, 285 (1984).
42. H. Sompolinsky, Phys. Rev. Lett. 47, 935 (1981); Philos. Mag. B 50, 285 (1984).
43. A. Crisanti, H. Horner, H.J. Sommers, Z. Phys. B 92, 257 (1993).
44. A. Crisanti, H.J. Sommers, J. Phys. I France 5, 805 (1995).
45. Th.M. Nieuwenhuizen, Phys. Rev. Lett. 74, 3463 (1995).
46. Th.M. Nieuwenhuizen, Complexity as driving force for dynamical glassy transition; cond-mat/9504059.
47. Th.M. Nieuwenhuizen, Phys. Rev. Lett. 79, 1317 (1997).
48. Th.M. Nieuwenhuizen, Phys. Rev. Lett. 80, 5581 (1998).
49. Th.M. Nieuwenhuizen, Phys. Rev. E 61, 267 (2000).
50. A.E. Allahverdyan, D.B. Saakian, Phys. Rev. E 58, 5201 (1998).
51. A.E. Allahverdyan, Th.M. Nieuwenhuizen, cond-mat/ 9907143, to be published in Phys. Rev. E (July 2000).
52. D.J. Gross, I. Kanter, H. Sompolinsky, Phys. Rev. Lett. 55, 304 (1985).
53. G. Parisi, Slow Dynamics of Glassy Systems., cond-mat/9705312.
54. A. Houghton, S. Jain, A.P. Young, Phys. Rev. B 28, 2630 (1983).
55. H. Horner, Z. Phys. B, 66, 175, (1987).
56. J. Kurchan, L. Laloux, J. Phys. A 29, 1929 (1996).
57. H.K. Janssen, Z. Phys. B 26, 187 (1977); C. De Dominicis, L. Peliti, Phys. Rev. Lett. 38, 505 (1977); Phys. Rev. B 18, 353 (1978).
58. H.K. Janssen, Z. Phys. B 26, 187 (1977); C. De Dominicis, L. Peliti, Phys. Rev. Lett. 38, 505 (1977); Phys. Rev. B 18, 353 (1978).
59. H.K. Janssen, Z. Phys. B 26, 187 (1977); C. De Dominicis, L. Peliti, Phys. Rev. Lett. 38, 505 (1977); Phys. Rev. B 18, 353 (1978).
60. C.H. Bennett, Sci. Am. 257, 108 (1987); S. Lloyd, Phys. Rev. A 39, 5378 (1989).
61. C.H. Bennett, Sci. Am. 257, 108 (1987); S. Lloyd, Phys. Rev. A 39, 5378 (1989).
62. W. Ebeling, Physica A 182, 108 (1992).
63. P. Shukla, S. Singh, J. Phys. C 14, L81 (1981); S. Ciuchi, F. de Pasquale, Nucl. Phys. B 300 [FS 22], 31 (1988); Th.M. Nieuwenhuizen, Phys. Rev. B 31, 7487 (1985); L.F. Cugliandolo, D.S. Dean, J. Phys. A 28, 4213 (1995).
64. P. Shukla, S. Singh, J. Phys. C 14, L81 (1981); S. Ciuchi, F. de Pasquale, Nucl. Phys. B 300 [FS 22], 31 (1988); Th.M. Nieuwenhuizen, Phys. Rev. B 31, 7487 (1985); L.F. Cugliandolo, D.S. Dean, J. Phys. A 28, 4213 (1995).
65. P. Shukla, S. Singh, J. Phys. C 14, L81 (1981); S. Ciuchi, F. de Pasquale, Nucl. Phys. B 300 [FS 22], 31 (1988); Th.M. Nieuwenhuizen, Phys. Rev. B 31, 7487 (1985); L.F. Cugliandolo, D.S. Dean, J. Phys. A 28, 4213 (1995).
66. P. Shukla, S. Singh, J. Phys. C 14, L81 (1981); S. Ciuchi, F. de Pasquale, Nucl. Phys. B 300 [FS 22], 31 (1988); Th.M. Nieuwenhuizen, Phys. Rev. B 31, 7487 (1985); L.F. Cugliandolo, D.S. Dean, J. Phys. A 28, 4213 (1995).