Nonequilibrium energy profiles for a class of 1-D models

J. P. Eckmann, Lai-Sang Young

Research output: Contribution to journalArticle

Abstract

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which contains an energy storage device called a ''tank''. Energy exchange among tanks is mediated by tracer particles, which are injected at characteristic temperatures and rates from heat baths at the two ends of the chain. For stochastic and Hamiltonian models of this type, we develop a theory that allows one to derive rigorously - under physically natural assumptions - macroscopic equations for quantities related to heat transport, including mean energy profiles and tracer densities. Concrete examples are treated for illustration, and the validity of the Fourier Law in the present context is discussed.

Original languageEnglish (US)
Pages (from-to)237-267
Number of pages31
JournalCommunications in Mathematical Physics
Volume262
Issue number1
DOIs
StatePublished - Feb 2006

Fingerprint

Non-equilibrium
tracers
macroscopic equations
Fourier law
Fourier's Law
heat
Heat Transport
Heat Bath
Energy Storage
energy storage
profiles
Energy
Heat Conduction
conductive heat transfer
baths
energy transfer
Paradigm
energy
Cell
cells

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Nonequilibrium energy profiles for a class of 1-D models. / Eckmann, J. P.; Young, Lai-Sang.

In: Communications in Mathematical Physics, Vol. 262, No. 1, 02.2006, p. 237-267.

Research output: Contribution to journalArticle

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