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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 1, Pages 138–146
DOI: https://doi.org/10.4213/tmf6235 (Mi tmf6235) 		 
This article is cited in 15 scientific papers (total in 15 papers)

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

R. Falcaoa, A. Francisco Netob, E. Pereirac

a 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
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DOI: https://doi.org/10.4213/tmf6235
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
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 1, Pages 1081–1088
DOI: https://doi.org/10.1007/s11232-008-0100-1
Bibliographic databases:
Language: Russian
Citation: R. Falcao, A. Francisco Neto, E. Pereira, “Analytic approach to the (an)harmonic crystal chains with self-consistent stochastic reservoirs”, TMF, 156:1 (2008), 138–146; Theoret. and Math. Phys., 156:1 (2008), 1081–1088
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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