Application of the Hilbert Space Average Method on Heat Conduction Models

Details Application of the Hilbert Space Average Method on Heat Conduction Models Application of the Hilbert Space Average Method on Heat Conduction Models

2005-11-30

arxiv.org/abs/cond-mat/0511727v1

Phys. Rev. E 73, 016101 (2006)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 figures, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.73.016101

We analyze closed one-dimensional chains of weakly coupled many level systems, by means of the so-called Hilbert space average method (HAM). Subject to some concrete conditions on the Hamiltonian of the system, our theory predicts energy diffusion with respect to a coarse-grained description for almost all initial states. Close to the respective equilibrium we investigate this behavior in terms of heat transport and derive the heat conduction coefficient. Thus, we are able to show that both heat (energy) diffusive behavior as well as Fourier's law follows from and is compatible with a reversible Schroedinger dynamics on the complete level of description.

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