Skip to main content
Log in

Injected Power Fluctuations in 1D Dissipative Systems

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

Abstract

Using fermionic techniques, we compute exactly the large deviation function (ldf) of the time-integrated injected power in several one-dimensional dissipative systems of classical spins. The dynamics are T=0 Glauber dynamics supplemented by an injection mechanism, which is taken as a poissonian flipping of one particular spin. We discuss the physical content of the results, specifically the influence of the rate of the Poisson process on the properties of the ldf.

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.

Similar content being viewed by others

References

  1. Labbé, R., Pinton, J.F., Fauve, S.: J. Phys. II (France) 6, 1099 (1996)

    Article  Google Scholar 

  2. Aumaître, S., Fauve, S., Pinton, J.F.: Eur. Phys. J. B 16, 563 (2000)

    Article  ADS  Google Scholar 

  3. Evans, D.J., Cohen, E.G.D., Morris, G.P.: Phys. Rev. Lett. 71, 2041 (1993)

    Google Scholar 

  4. Gallavotti, G., Cohen, E.G.D.: Phys. Rev. Lett. 74, 2694 (1995)

    Article  ADS  Google Scholar 

  5. Kurchan, J.: cond-mat/0511073

  6. Ciliberto, S., Laroche, C.: J. Phys. IV (France) 8, 6–215 (1998)

    Google Scholar 

  7. Feitosa, K., Menon, N.: Phys. Rev. Lett. 92, 164301 (2004)

    Article  ADS  Google Scholar 

  8. Aumaître, S., Fauve, S., McNamara, S., Poggi, P.: Eur. Phys. J. B 19, 449 (2001)

    Article  ADS  Google Scholar 

  9. Farago, J.: J. Stat. Phys. 107, 781 (2002)

    Article  MATH  Google Scholar 

  10. Farago, J.: Physica A 331, 69 (2004)

    Article  ADS  Google Scholar 

  11. Aumaître, S., Farago, J., Fauve, S., McNamara, S.: Eur. Phys. J. B 42, 255–261 (2004)

    Article  ADS  Google Scholar 

  12. Puglisi, A., Visco, P., Barrat, A., Trizac, E., van Wijland, F.: Phys. Rev. Lett. 95, 110202 (2005)

    Article  ADS  Google Scholar 

  13. Visco, P., Puglisi, A., Barrat, A., Trizac, E., van Wijland, F.: Eur. Phys. Lett. 72, 55 (2005)

    Article  ADS  Google Scholar 

  14. Bertin, E.: J. Phys. A: Math. Gen. 39, 1539 (2006)

    Article  MATH  ADS  Google Scholar 

  15. Lecomte, V., Racz, Z., van Wijland, F.: J. Stat. Mech. P02008 (2005)

  16. Cornu, F.: Private communication

  17. Bodineau, T., Derrida, B.: Phys. Rev. Lett. 92, 180601 (2004)

    Article  ADS  Google Scholar 

  18. Derrida, B., Lebowitz, J.L.: Phys. Rev. Lett. 80, 209 (1998)

    Article  MATH  ADS  Google Scholar 

  19. Henkel, M., Orlandini, E., Santos, J.: Ann. Phys. 259, 163 (1997), cond-mat/9610059

    Article  MATH  ADS  Google Scholar 

  20. Farago, J.: J. Stat. Phys. 118, 373 (2005)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jean Farago.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farago, J., Pitard, E. Injected Power Fluctuations in 1D Dissipative Systems. J Stat Phys 128, 1365–1382 (2007). https://doi.org/10.1007/s10955-007-9380-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-007-9380-3

Keywords

Navigation