Heat conductivity in small quantum systems: Kubo formula in Liouville space

European Physical Journal B

Volumn 42, Issue 4, 2004, Pages 555-559

  Michel, M ^a   Gemmer, J ^b   Mahler, G ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF OSNABRÜCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; PERTURBATION TECHNIQUES; QUANTUM THEORY; STATISTICAL MECHANICS; THERMAL GRADIENTS; THERMODYNAMICS;

HEAT BATH; KUBO FORMULA; LIOUNVILLE SPACE; QUANTUM SYSTEMS;

THERMAL CONDUCTIVITY;

EID: 12444264916     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00014-x     Document Type: Article

References (21)

1. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics, Number 31 in Solid-State Sciences, 2nd edn. (Springer, Berlin, Heidelberg, New-York, 1991)
2. H. Mori, Phys. Rev. 115, 298 (1956)
3. G.D. Mahan, Many-Particle Physics, 3rd edn. (Plenum Press, New York, London, 2000)
4. D.N. Zubarev, Nonequilibrium Statistical Thermodynamics, Studies in Soviet Sciences. Consultants Bureau, New York, London, 1974. transl. by P.J. Shepherd
5. R. Kubo, J. Phys. Soc. Jpn 12, 570 (1957)
6. J.M. Luttinger, Phys. Rev. 135(6A), A1505 (1964)
7. X. Zotos, F. Naef, P. Prelovsek, Phys. Rev. B 55(17), 11029 (1997)
8. F. Heidrich-Meisner, A. Honecker, D.C. Cabra, W. Brenig, Zero-Frequency transport properties of one dimensional spin-1/2 systems, cond-math/0304595, 2003
9. A. Klümper, K. Sakai, J. Phys. A: Math. Gen. 35, 2173 (2002)
10. K. Saito, Europhys. Lett. 61, 34 (2003)
11. K. Saito, S. Takesue, S. Miyashita, Phys. Rev. E 54, 2404 (1996)
12. G. Lindblad, Commun. Math. Phys. 48, 119 (1976)
13. K. Saito, S. Miyashita, J. Phys. Soc. Jpn 71, 2485 (2002)
14. M. Michel, M. Hartmann, J. Gemmer, G. Mahler, Eur. Phys. J. B 34, 325 (2003)
15. R. Schack, M.C. Caves, J. Mod. Opt. 47(2/3), 387 (2000)
16. V.E. Tarasov, Phys. Rev. E 66, 056116 (2002)
17. S. Mukamel, Phys. Rev. E 68(2), 021111 (2003)
18. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958)
19. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960)
20. S. Miyashita, K. Saito, Physica B 329-333, 1142 (2003)
21. J. Gemmer, M. Michel, G. Mahler, Quantum Thermodynamics, LNP657 (Springer, Heidelberg, Berlin, 2005)