This article is cited in 15 papers

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

R. Falcao^a, A. Francisco Neto^b, E. Pereira<sup>c

a</sup> Centro de Formação de Professores, Universidade Federal do Reconcavo da Bahia
^b Núcleo de Física, Universidade Federal de Sergipe
^c Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais

Abstract: 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.

Keywords: harmonic crystal, anharmonic crystal, stochastic reservoirs, heat flow.

Received: 22.06.2007

DOI: 10.4213/tmf6235

 English version: Theoretical and Mathematical Physics, 2008, 156:1, 1081–1088

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