Normal Heat Conductivity in a strongly pinned chain of anharmonic oscillators
Lefevere, R. ; Schenkel, A.
arXiv, 0507560 / Harvested from arXiv
Text on arXiv
We consider a chain of coupled and strongly pinned anharmonic oscillators subject to a non-equilibrium random forcing. Assuming that the stationary state is approximately Gaussian, we first derive a stationary Boltzmann equation. By localizing the involved resonances, we next invert the linearized collision operator and compute the heat conductivity. In particular, we show that the Gaussian approximation yields a finite conductivity $\kappa\sim\frac{1}{\lambda^2T^2}$, for $\lambda$ the anharmonic coupling strength.
Publié le : 2005-07-24
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics 
@article{0507560,
     author = {Lefevere, R. and Schenkel, A.},
     title = {Normal Heat Conductivity in a strongly pinned chain of anharmonic
  oscillators},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507560}
}

Lefevere, R.; Schenkel, A. Normal Heat Conductivity in a strongly pinned chain of anharmonic
  oscillators. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507560/