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Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirs

2008; Pleiades Publishing; Volume: 156; Issue: 1 Linguagem: Inglês

10.1007/s11232-008-0100-1

1573-9333

Ricardo de Carvalho Falcão, Antônio Francisco Neto, Emmanuel Pereira,

Thermoelastic and Magnetoelastic Phenomena

We consider the harmonic and anharmonic chains of oscillators with self-consistent stochastic reservoirs and derive an integral representation (à la Feynman-Kac) for the correlations, in particular, for the heat flow. For the harmonic chain, we give a new proof that its thermal conductivity is finite in the steady state. Based on this integral representation for the correlations and a perturbative analysis, the approach is quite general and can be extended to more intricate systems.