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References



Please find my own contributions to the field of Quantum Thermodynamics under "Publications" in the main menue above. Find below some introductory literature to Statistical Mechanics, Thermodynamics, Many Particle Theory and the Theory of Open Quantum Systems as well as some central publications within the discussed topics.


General References


[Boltzmann1964]
L. Boltzmann, Lectures on Gas Theory, University of California Press, Los Angeles, 1964.
[Gibbs1974]
J. W. Gibbs, Elementary Principles in Statistical Mechanics, Dover Publications, New York, 1960.
[Peierls1928]
R. E. Peierls, Quantum Theory of Solids, Clarendon Press, Oxford, 2001.
[Kubo1991]
R. Kubo, M. Toda and N. Hashitsume Statistical Physics II: Nonequilibrium Statistical Mechanics Springer, Berlin, Heidelberg, New-York, 2. edition, 1991.
[Mahan2000]
G. D. Mahan, Many-Particle Physics, Plenum Press, New York, London, 3. edition, 2000.
[Breuer2002]
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, Oxford, 2002.


Quantum Thermodynamics


[Borowski2003]
P. Borowski, J. Gemmer and G. Mahler, Relaxation to equilibrium under pure Schrödinger dynamic, Euro. Phys. J. B 31 249-257 (2003)
[Gemmer2001]
J. Gemmer, A. Otte and G. Mahler, Quantum Approach to a Derivation of the Second Law of Thermodynamics Phys. Rev. Lett. 86 1927-1930 (2001)


Heat Conduction


[Kubo1957]
R. Kubo, Statistical-Mechanical Theory of Irreversible Processes. I. J. Phys. Soc. Jpn. 12 570-586 (1957).
[Zotos1997]
X. Zotos, F. Naef and P. Prelovsek, Transport and conservation laws, Phys. Rev. B, 55 11029-11032 (1997).
[HeidrichMeisner2003]
F. Heidrich-Meisner, A. Honecker, D.C. Cabra and W. Brenig, Zero-Frequency transport properties of one dimensional spin-1/2 systems, cond-math/0304595 (2003).
[Klümper2002]
A. Klümper and K. Sakai, The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature, J. Phys. A: Math. Gen., 35 2173-2182 (2002).
[Saito2003]
K. Saito, Strong evidence of normal heat conduction in a one-dimensional quantum system, Europhys. Lett., 61 34-40 (2003).

19th February 2008                                                                                                                                                                                                                       © Copyright 2006 by MM