User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Fourier's law from closure equations

Primary tabs

download
  • Open access
  • PDF
  • 124.25 K
Bricmont, Jean [UCL] Kupiainen, Antti [UCL]

We sketch a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is proportional to the temperature gradient with a temperature dependent heat conductivity and the stationary temperature exhibits a nonlinear profile.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2007
Language Anglais
Journal information "Physical Review Letters" - Vol. 98, no. 21 (2007)
Peer reviewed yes
Publisher American Physical Soc (College Pk)
issn 0031-9007
e-issn 1079-7114
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Links
  1. F. Bonetto, Mathematical Physics (2000)
  2. Lepri S, Thermal conduction in classical low-dimensional lattices, 10.1016/s0370-1573(02)00558-6
  3. Spohn Herbert, The Phonon Boltzmann Equation, Properties and Link to Weakly Anharmonic Lattice Dynamics, 10.1007/s10955-005-8088-5
  4. Livi Roberto, Lepri Stefano, Thermal physics: Heat in one dimension, 10.1038/421327a
  5. Lefevere R, Schenkel A, Normal heat conductivity in a strongly pinned chain of anharmonic oscillators, 10.1088/1742-5468/2006/02/l02001
  6. L. Rey-Bellet, Proceedings of the XIVTH International Congress on Mathematical Physics, Lisbon, 2003 (2006)
  7. Eckmann J.-P., Pillet C.-A., Rey-Bellet L., Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures, 10.1007/s002200050572
  8. Rieder Z., Lebowitz J. L., Lieb E., Properties of a Harmonic Crystal in a Stationary Nonequilibrium State, 10.1063/1.1705319
  9. Spohn Herbert, Lebowitz Joel L., Stationary non-equilibrium states of infinite harmonic systems, 10.1007/bf01614132
  10. Aoki Kenichiro, Kusnezov Dimitri, Nonequilibrium Statistical Mechanics of Classical Lattice φ4 Field Theory, 10.1006/aphy.2001.6207
  11. Lepri S, Livi R, Politi A, On the anomalous thermal conductivity of one-dimensional lattices, 10.1209/epl/i1998-00352-3
  12. Narayan Onuttom, Ramaswamy Sriram, Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems, 10.1103/physrevlett.89.200601
  13. Delfini Luca, Lepri Stefano, Livi Roberto, Politi Antonio, Self-consistent mode-coupling approach to one-dimensional heat transport, 10.1103/physreve.73.060201
  14. Pereverzev Andrey, Fermi-Pasta-Ulamβlattice: Peierls equation and anomalous heat conductivity, 10.1103/physreve.68.056124
  15. Aoki Kenichiro, Lukkarinen Jani, Spohn Herbert, Energy Transport in Weakly Anharmonic Chains, 10.1007/s10955-006-9171-2
  16. Zakharov Vladimir E., L’vov Victor S., Falkovich Gregory, Kolmogorov Spectra of Turbulence I, ISBN:9783642500541, 10.1007/978-3-642-50052-7
Bibliographic reference Bricmont, Jean ; Kupiainen, Antti. Fourier's law from closure equations. In: Physical Review Letters, Vol. 98, no. 21 (2007)
Permanent URL http://hdl.handle.net/2078.1/37595