Application of the Hilbert Space Average Method on Heat Conduction Models

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dc.creatorMichel, Mathias
dc.creatorGemmer, Jochen
dc.creatorMahler, Guenter
dc.date2005-11-30
dc.date.accessioned2026-07-07T06:49:29Z
dc.date.available2026-07-07T06:49:29Z
dc.descriptionWe 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.
dc.description10 pages, 8 figures, accepted for publication in Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0511727
dc.identifierhttp://arxiv.org/abs/cond-mat/0511727
dc.identifierPhys. Rev. E 73, 016101 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.016101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104362
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleApplication of the Hilbert Space Average Method on Heat Conduction Models
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