Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirs.
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2008
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Resumo
We consider the harmonic and anharmonic chains of oscillators with self-consistent stochastic reservoirs
and derive an integral representation (`a 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.
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Harmonic crystal, Heat flow
Citação
FALCÃO, R.; FRANCISCO NETO, A.; PEREIRA, E. Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirs. Theoretical and Mathematical Physics, v. 156, p. 1081-1088, 2008. Disponível em: <https://link.springer.com/article/10.1007/s11232-008-0100-1>. Acesso em: 20 jul. 2017.