MICROSCOPIC QUANTUM MECHANICAL FOUNDATION OF FOURIER'S LAW

Author:

MICHEL MATHIAS1,GEMMER JOCHEN2,MAHLER GÜNTER1

Affiliation:

1. Institut für Theoretische Physik I, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

2. Fachbereich Phyik, Universität Osnabrück Barbarastr. 7, D-49069 Osnabrück, Germany

Abstract

Besides the growing interest in old concepts such as 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 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., should be appropriate. Only from the foundations of a theory its limits of applicability may be inferred. This review tries to give an overview on the background and recent developments in the field of nonequilibrium quantum thermodynamics, focusing on the transport of heat in small quantum systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference89 articles.

1. FOURIER'S LAW: A CHALLENGE TO THEORISTS

2. Thermal conduction in classical low-dimensional lattices

3. P. Debye, Mathematische Vorträge an der Universität Göttingen VI, ed. M. Planck (Teubner, Leipzig, 1914) pp. 19–60.

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