2005/11/30 by Mathias Michel, M. Michel, Jochen Gemmer +2 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Fourier transform #Hamiltonian (control theory) #Heat flux #Heat transfer #Hilbert space #Mathematical analysis #Mathematical optimization #Mathematics #Physics #Relativistic heat conduction #Space (punctuation) #Statistical physics #Theoretical and Computational Physics #Thermal conduction #Thermal properties of materials #Thermodynamics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.73.016101
published as Phys. Rev. E 73, 016101 (2006) · 10 pages, 8 figures, accepted for publication in Phys. Rev. E
arxiv created 2005/11/30 · openalex publication_date 2006/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Schrödinger dynamics on the complete level of description.