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Heat conduction and relaxation in liquids of high viscosity

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  • Jäckle, Josef

Abstract

The generalized hydrodynamic description of heat conduction in liquids of high viscosity is presented, following the phenomenological theory of thermoviscoelasticity. The theory applies in particular to undercooled one-component liquids near the glass transition, in which structural relaxation causes the specific heat to be frequency dependent. For a simple model in which a separate channel for the flow of configurational energy independent of phonons exists, it is shown that a frequency dependence of the thermal conductivity goes together with a wavevector dependence of the specific heat. The spectrum of the thermal entropy fluctuations and the quasi-elastic light scattering spectrum, which display the interference of the heat conduction mode with structural relaxation, are derived from the phenomenological equations.

Suggested Citation

  • Jäckle, Josef, 1990. "Heat conduction and relaxation in liquids of high viscosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 377-404.
    • Handle: RePEc:eee:phsmap:v:162:y:1990:i:3:p:377-404
    DOI: 10.1016/0378-4371(90)90424-Q
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    1. Frisch, Michael H., 1985. "The Unheralded Triumph: City Government in America, 1870–1900. By Jon C. Teaford. (Baltimore: Johns Hopkins University Press, 1984. xi + 365 pp. Cloth, $28.50; paper, $14.95.)," Business History Review, Cambridge University Press, vol. 59(3), pages 499-501, October.
    2. Nölling, Wilhelm, 1963. "Arbeitslosigkeit und Wirtschaftswachstum in den USA," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 43(6), pages 253-260.
    3. Vidal, D. & Guengant, L. & Lallemand, M., 1979. "Vitesse des ultrasons dans les gaz rares sous haute pression a la temperature de 298.15 K," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(3), pages 545-560.
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