Microscopic Quantum Mechanical Foundation of Fourier's Law

Details Microscopic Quantum Mechanical Foundation of Fourier's Law Microscopic Quantum Mechanical Foundation of Fourier's Law

2006-11-23

arxiv.org/abs/cond-mat/0611612v1

Int. J. Mod. Phys. B 20,4855-4883 (2006)

Physics

Condensed Matter

Statistical Mechanics

30 pages, 10 figures, review article

Scientific paper

10.1142/S0217979206035849

Besides the growing interest in old concepts like temperature and entropy at the nanoscale, theories of relaxation and transport have recently regained a lot of attention. With the electronic circuits and computer chips getting smaller and smaller, a fresh look should be appropriate on the equilibrium and nonequilibrium thermodynamics at small length scales far below the thermodynamic limit, i.e. on the theoretical understanding of original macroscopic processes, e.g. transport of energy, heat, charge, mass, magnetization etc. Only from the foundations of a theory its limits of applicability may be inferred. This review tries to give an overview of the background and recent developments in the field of nonequilibrium quantum thermodynamics focusing on the transport of heat in small quantum systems.

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