A perturbative approach for the crystal chains with self-consistent   stochastic reservoirs
  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. 
Ricardo Falcao, Ant\^onio Francisco Neto, Emmanuel Pereira