Skip to main content
SpringerLink
Log in

Thinking Transport as a Twist

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

The determination of the conductivity of a deterministic or stochastic classical system coupled to reservoirs at its ends can in general be mapped onto the problem of computing the stiffness (the ‘energy’ cost of twisting the boundaries) of a quantum-like system. The nature of the coupling to the reservoirs determines the details of the mechanical coupling of the torque at the ends.

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

Access this article

Log in via an institution

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. Bonetto, F., Lebowitz, J., Rey-Bellet, L.: Fourier’s law: a challenge for theorists. In: Fokas, A., Grigoryan, A., Kibble, T., Zegarlinsky, B. (eds.) Mathematical Physics 2000, pp. 128–150. Imperial College, London (2000)

    Google Scholar 

  2. Lepri, S., Livi, R., Politi, A.: Phys. Rep. 377, 1 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  3. Rieder, Z., Lebowitz, J.L., Lieb, E.: J. Math. Phys. 8, 1073 (1967)

    Article  ADS  Google Scholar 

  4. Kohn, W.: Phys. Rev. 133, A171 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  5. Shastry, B.S., Sutherland, B.: Phys. Rev. Lett. 65, 243 (1990)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Rigol, M., Shastry, B.S.: Phys. Rev. B 77, 161101(R) (2008)

    Article  ADS  Google Scholar 

  7. Fisher, M.E., Barber, M.N.: Phys. Rev. A 8, 1111 (1973)

    Article  ADS  Google Scholar 

  8. Gaspard, P.: Phys. Rev. E 53, 4379 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  9. Schütz, G., Sandow, S.: Phys. Rev. E 49, 2726 (1994)

    Article  ADS  Google Scholar 

  10. Kubo, R., Toda, M., Hashitsume, N.: Statistical Physics II: Nonequilibrium Statistical Mechanics. Springer, Berlin (1985)

    Google Scholar 

  11. Belitz, D., Kirkpatrick, T.R., Vojta, T.: Rev. Mod. Phys. 77, 579 (2005)

    Article  ADS  Google Scholar 

  12. Bolsterli, M., Rich, M., Visscher, W.M.: Phys. Rev. A 4, 1086 (1970)

    Article  ADS  Google Scholar 

  13. Keldysh, L.V.: Zh. Eksp. Teor. Fiz. 47, 1515 (1964). (Sov. Phys. JETP 20, 235 (1965))

    Google Scholar 

  14. Feynman, R.P., Vernon, F.L.: Ann. Phys. 24, 118 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  15. Caldeira, A., Legget, A.: Phys Rev. A 31, 1059 (1985)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Eindhoven University, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    Cristian Giardinà

  2. CNRS-ESPCI, Rue Vauquelin 10, 75231, Paris, France

    Jorge Kurchan

Authors
  1. Cristian Giardinà
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jorge Kurchan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jorge Kurchan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giardinà, C., Kurchan, J. Thinking Transport as a Twist. J Stat Phys 135, 895–914 (2009). https://doi.org/10.1007/s10955-009-9736-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-009-9736-y

Keywords

Search

Navigation