English

A perturbative approach for the crystal chains with self-consistent stochastic reservoirs

Statistical Mechanics 2009-11-13 v1

Abstract

We consider the harmonic chain of oscillators with self-consistent stochastic reservoirs and give a new proof for the finitude of its thermal conductivity in the steady state. The approach, with involves an integral representation for the correlations (heat flow)and a perturbative analysis, is quite general and extendable to the study of anharmonic systems.

Keywords

Cite

@article{arxiv.0804.3622,
  title  = {A perturbative approach for the crystal chains with self-consistent stochastic reservoirs},
  author = {Ricardo Falcao and Antônio Francisco Neto and Emmanuel Pereira},
  journal= {arXiv preprint arXiv:0804.3622},
  year   = {2009}
}

Comments

to be published in Theoretical and Mathematical Physics

R2 v1 2026-06-21T10:33:42.819Z