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On the lattice thermal conduction in a harmonic system

О теплопроводности решетки в гармонической системе

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The thermal properties of a harmonic chain in a stationary nonequilibrium state are examined. It is shown that an appropriate mathematical schematization of the heat reservoirs removes the unphysical results previously found.

Riassunto

Si esaminano le proprietà termiche di una catena armonica in uno stato stazionario di non equilibrio. Si mostra che mediante un'appropriata schematizzazione dei bagni termici si eliminano i risultati non fisici precedentemente ottenuti.

Резюме

Исследуются тепловые свойства гармонической цепочки в стационарном неравновесном состоянии. Показываерся, что соответствующая математическая схема для источника тепла устраняет нефизические результаты, полученные ранее.

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References

  1. Z. Rieder, J. L. Lebowitz andE. Lieb:Journ. Math. Phys.,8, 1073 (1967).

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  2. E. A. Jackson, J. R. Pasta andJ. F. Waters:Journ. Comput. Phys.,2, 207 (1968).

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  3. Our analysis follows the lines ofH. Nakazawa:Prog. Theor. Phys. Suppl.,45, 231 (1970).

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Additional information

Work supported by C.N.R. grant No. 77.01539.63.

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Casati, G. On the lattice thermal conduction in a harmonic system. Nuov Cim B 52, 257–266 (1979). https://doi.org/10.1007/BF02739039

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  • DOI: https://doi.org/10.1007/BF02739039

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