Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Progress Article
  • Published:

In and out of equilibrium

Abstract

Albert Einstein's work on brownian motion showed how thermal equilibrium could be brought about by work exchanged through thermal fluctuations and viscous dissipation. Glasses are out-of-equilibrium systems in which this exchange happens at widely different timescales simultaneously. Theory then suggests the fascinating possibility that such behaviour may lead to a more general form of thermalization, in which the effective temperature shared by all components differs at each timescale.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: The two-time (t,t′) correlation C(t,t′) of a typical physical quantity in terms of log(tt′) for two temperatures T1>T2.
Figure 2: M copies of a system (A1, A2,..., AM).
Figure 3: Fluctuation–dissipation plot for a sheared supercooled liquid, taken from ref. 5.

Similar content being viewed by others

References

  1. Kubo, R., Toda, M. & Hashitsume, N. Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer, New York, 1991).

    Book  Google Scholar 

  2. Sompolinsky, H. & Zippelius, A. Relaxational dynamics of the Edwards-Anderson model and the mean-field theory of spin-glasses. Phys. Rev. B 25, 6860–6875 (1982).

    Article  ADS  CAS  Google Scholar 

  3. Cugliandolo, L. F. & Kurchan, J. On the out-of equilibrium relaxation of the Sherrington-Kirkpatrick model. J. Phys. A 27, 5749–5772 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  4. Cugliandolo, L. F., Kurchan, J. & Peliti, L. Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics. Phys. Rev. E 55, 3898–3914 (1997).

    Article  ADS  CAS  Google Scholar 

  5. Berthier, L. & Barrat, J. -L. Nonequilibrium dynamics and fluctuation-dissipation in a sheared fluid. J. Chem. Phys. 116, 6228–6242 (2002).

    Article  ADS  CAS  Google Scholar 

  6. Makse, H. A. & Kurchan, J. Testing the thermodynamic approach to granular matter with a numerical model of a decisive experiment. Nature 415, 614–617 (2002).

    Article  ADS  CAS  Google Scholar 

  7. Israeloff, N. E. & Grigera, T. S. Low-frequency dielectric fluctuations near the glass transition. Europhys. Lett. 43, 308–313 (1998).

    Article  ADS  CAS  Google Scholar 

  8. Buisson, L., Ciliberto, S. & Garcimartin, A. Intermittent origin of the large violations of the fluctuation-dissipation relations in an aging polymer glass. Europhys. Lett. 63, 603–609 (2003).

    Article  ADS  CAS  Google Scholar 

  9. Herisson, D. & Ocio, M. Fluctuation-dissipation ratio of a spin glass in the aging regime. Phys. Rev. Lett. 88, 257202 (2002).

    Article  ADS  CAS  Google Scholar 

  10. Tool, A. Q. Relation between inelastic deformability and thermal expansion of glass in its annealing range. J. Am. Ceram. Soc. 29, 240–253 (1946).

    Article  CAS  Google Scholar 

  11. Edwards, S. F. in Granular Matter: An Interdisciplinary Approach (ed. Mehta, A.) 121–140 (Springer, New York, 1994).

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Ethics declarations

Competing interests

The author declares no competing financial interests.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kurchan, J. In and out of equilibrium. Nature 433, 222–225 (2005). https://doi.org/10.1038/nature03278

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nature03278

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing