Application of the Hilbert Space Average Method on Heat Conduction Models
Statistical Mechanics
2007-05-23 v1 Quantum Physics
Abstract
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.
Cite
@article{arxiv.cond-mat/0511727,
title = {Application of the Hilbert Space Average Method on Heat Conduction Models},
author = {Mathias Michel and Jochen Gemmer and Guenter Mahler},
journal= {arXiv preprint arXiv:cond-mat/0511727},
year = {2007}
}
Comments
10 pages, 8 figures, accepted for publication in Phys. Rev. E