Skip to main content
Log in

Off-equilibrium fluctuation-dissipation relation in a spin glass

An experimental test for mean-field predictions

  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

We report new experimental results obtained on the insulating spin glass CdCr2-2x In2x S4. Our experimental setup allows a quantitative comparison between the thermo-remanent magnetisation and the autocorrelation of spontaneous fluctuations of magnetisation, yielding a complete determination of the fluctuation-dissipation relation. The dynamics can be studied both in the quasi-equilibrium regime, where the fluctuation-dissipation theorem holds, and in the deeply ageing regime. The limit of separation of time-scales, as used in analytical calculations, can be approached by use of a scaling procedure.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L.C.E. Struik, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Amsterdam, 1978)

  2. J.A. Mydosh. Spin Glasses -- An Experimental introduction (Taylor & Francis, London, 1993)

  3. L.F. Cugliandolo, J. Kurchan, Phys. Rev. Lett. 71, 173 (1993)

    Article  ADS  Google Scholar 

  4. L.F. Cugliandolo, J. Kurchan, J. Physics A 27, 5749 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. L.F. Cugliandolo, J. Kurchan, L. Peliti, Phys. Rev. E 55, 3898 (1997)

    Article  ADS  Google Scholar 

  6. H.B. Callen, T.A. Welton, Phys. Rev. 83, 34 (1951)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. R. Kubo, Rep. Progr. Phys. 29, 255 (1966)

    Article  ADS  Google Scholar 

  8. T.S. Grigera, N.E. Israeloff, Phys. Rev. Lett. 83, 5038 (1999)

    Article  ADS  Google Scholar 

  9. L. Bellon, S. Ciliberto, C. Laroche, Europhys. Lett. 53, 511 (2001) cond-mat/0008160

    Article  ADS  Google Scholar 

  10. L. Bellon, S. Ciliberto, Physica D 168-69, 325 (2002)

  11. J.-P. Bouchaud, E. Vincent, J. Hammann, J. Phys. I France 4, 139 (1994)

    Article  Google Scholar 

  12. B. Derrida, J. Phys. Lett. France 46, L401 (1985)

  13. E. Vincent, J. Hammann, M. Ocio, J-P. Bouchaud, L.F. Cugliandolo, Slow dynamics and aging in spin glasses, in Proceedings of the Sitges conference on Complex Behaviour of Glassy Systems, June 1996, edited by E. Rub, cond-mat/9607224

  14. Ph. Réfrégier, M. Ocio, J. Hammann, E. Vincent, J. Appl. Phys. 63, 4343 (1988)

    Article  Google Scholar 

  15. P. Réfrégier, M. Alba, J. Hammann, M. Ocio, J. Physics C 20, 5545 (1987)

    Article  Google Scholar 

  16. M. Alba, J. Hammann, M. Ocio, Ph. Réfrégier, H. Bouchiat, J. Appl. Phys. 61, 3683 (1987)

    Article  ADS  Google Scholar 

  17. M. Alba, Recherche et Etude de Phases Verre de Spins dans les Spinelles de Chrome Diluées : CdCr2x In2(1−x)S4 et ZnCr2x Al2(1−x)S4, Ph.D. thesis, Université de Paris XI, Orsay, 1982

  18. M. Alba, S. Pouget, J. Magn. Magn. Mater. 226-230, 542 (2001)

  19. S. Pouget, M. Alba, J. Phys.: Condens. Matter 7, 4739 (1995)

    Article  ADS  Google Scholar 

  20. K. Jonason, E. Vincent, J. Hammann, J-P. Bouchaud, P. Nordblad, Phys. Rev. Lett. 81, 3243 (1998)

    Article  ADS  Google Scholar 

  21. Ph. Réfrégier, M. Ocio, H. Bouchiat, Europhys. Lett. 3, 503 (1987)

    Article  Google Scholar 

  22. S.F. Edwards, P.W. Anderson, J. Phys. F 5, 965 (1975)

    Article  ADS  Google Scholar 

  23. A. Barrat, Phys. Rev. E 57, 3629 (1998)

    Article  ADS  Google Scholar 

  24. F. Corberi, E. Lippiello, M. Zannetti, Phys. Rev. E 63, 061506 (2001)

    Article  ADS  Google Scholar 

  25. H. Yoshino, K. Hukushima, H. Takayama, Phys. Rev. B 66, 064431 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  26. D. Petit, L. Fruchter, I.A. Campbell, Phys. Rev. Lett. 88, 207206/1-4 (2002)

    Article  ADS  Google Scholar 

  27. D. Petit, L. Fruchter, I.A. Campbell, Phys. Rev. Lett. 83, 5130 (1999)

    Article  ADS  Google Scholar 

  28. H. Kawamura, Phys. Rev. Lett. 68, 3785 (1992)

    Article  ADS  Google Scholar 

  29. H. Kawamura, Int. J. Mod. Phys. C 7, 345 (1996)

    Article  ADS  Google Scholar 

  30. K. Hukushima, H. Kawamura, Phys. Rev. E 61, R1008 (2000)

  31. D. Hérisson, M. Ocio, Phys. Rev. Lett. 88, 257202 (2002)

    Article  ADS  Google Scholar 

  32. H. Kawamura, Phys. Rev. Lett. 90, 237201 (2003), cond-mat/0212591

    Article  ADS  Google Scholar 

  33. D. Sherrington, S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975)

    Article  ADS  Google Scholar 

  34. S. Kirkpatrick, D. Sherrington, Phys. Rev. B 17, 4384 (1978)

    Article  ADS  Google Scholar 

  35. M. Mézard, G. Parisi, M.A. Virasoro, Spin Glass Theory and Beyond, Lecture Notes in Physics Vol. 9 (World Scientific, 1987)

  36. G. Parisi, J. Phys. A 13, 1101 (1980)

    Article  ADS  Google Scholar 

  37. S. Nagata, P.H. Keesom, H.R. Harrison, Phys. Rev. B 19, 1633 (1979)

    Article  ADS  Google Scholar 

  38. G. Parisi, G. Toulouse, J. Phys. Lett. France 41, L-361 (1980)

  39. S. Pouget, M. Alba, M. Noguès, J. Appl. Phys. 75, 5826 (1994)

    Article  ADS  Google Scholar 

  40. M. Alba, E. Vincent, J. Hammann, M. Ocio, J. Appl. Phys. 61, 4092 (1987)

    Article  ADS  Google Scholar 

  41. L.F. Cugliandolo, J. Kurchan, Phys. Rev. B 60, 922 (1999)

    Article  ADS  Google Scholar 

  42. S. Franz, M. Mézard, G. Parisi, L. Peliti, Phys. Rev. Lett. 81, 1758 (1998)

    Article  ADS  Google Scholar 

  43. E. Marinari, G. Parisi, F. Ricci-Tersenghi, J.J. Ruiz-Lorenzo, J. Phys. A 31, 2611 (1998)

    Article  ADS  MATH  Google Scholar 

  44. E. Marinari, G. Parisi, F. Ricci-Tersenghi, J.J. Ruiz-Lorenzo, J. Phys. A 33, 2373 (2000)

    Article  ADS  Google Scholar 

  45. L.F. Cugliandolo, D.R. Grempel, J. Kurchan, E. Vincent, Europhys. Lett. 48, 699 (1999)

    Article  ADS  Google Scholar 

  46. V. Zotev, G.G. Kenning, R. Orbach, Phys. Rev. B 66, 014412 (2002)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Received: 2 March 2004, Published online: 9 September 2004

PACS:

05.70.Ln Nonequilibrium and irreversible thermodynamics - 75.50.Lk Spin glasses and other random magnets - 07.20.Dt Thermometers - 07.55.Jg Magnetometers for susceptibility, magnetic moment, and magnetization measurements

D. Hérisson: Present address: Department of Engineering Sciences - Division of Solid State Physics, Uppsala University, 751 21 Uppsala, Sweden

M. Ocio: deceased 21 December 2003

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hérisson, D., Ocio, M. Off-equilibrium fluctuation-dissipation relation in a spin glass. Eur. Phys. J. B 40, 283–294 (2004). https://doi.org/10.1140/epjb/e2004-00278-6

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2004-00278-6

Keywords

Navigation