Journal of Statistical Physics

, Volume 20, Issue 6, pp 671–677 | Cite as

On the entropy production for the Davies model of heat conduction

  • Robert Alicki


The formula for the entropy production in open quantum systems is examined for the Davies model of heat conduction.

Key words

Master equation entropy production nonequilibrium thermodynamics heat conduction 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. R. de Groot and P. Mazur,Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1969).Google Scholar
  2. 2.
    V. Gorini and A. Kossakowski,J. Math. Phys. 17:1298 (1976).Google Scholar
  3. 3.
    G. Lindblad,Comm. Math. Phys. 48:119 (1976).Google Scholar
  4. 4.
    G. Lindblad,Comm. Math. Phys. 40:147 (1975).Google Scholar
  5. 5.
    R. Alicki, Master's Thesis, N. Copernicus University, Toruń (1974) (in Polish).Google Scholar
  6. 6.
    R. Alicki,Rep. Math. Phys. 10:249 (1976).Google Scholar
  7. 7.
    H. Spohn,J. Math. Phys. 19:1227 (1978).Google Scholar
  8. 8.
    H. Spohn and J. L. Lebowitz, Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs, to appear inAdvances in Physical Chemistry.Google Scholar
  9. 9.
    A. Frigerio and H. Spohn, Stationary states of quantum dynamical semigroups and applications, inProceedings of “Mathematical Problems in the Theory of Quantum Irreversible Processes” at Arco Felice, Accardi, ed. (to appear).Google Scholar
  10. 10.
    R. Alicki, The rigorous theory of open systems and phenomenological nonequilibrium thermodynamics (1978), unpublished.Google Scholar
  11. 11.
    E. B. Davies,J. Stat. Phys. 18:161 (1978).Google Scholar
  12. 12.
    E. B. Davies,Comm. Math. Phys. 39:91 (1974).Google Scholar
  13. 13.
    A. Kossakowski, A. Frigerio, V. Gorini, and M. Verri,Comm. Math. Phys. 57:97 (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Robert Alicki
    • 1
  1. 1.Institute of PhysicsGdansk UniversityGdanskPoland

Personalised recommendations