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Heat conduction equations as the continuum limits of scale dependent hydrodynamic theory

M. Holeček

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 1, 236-246

Abstract: A simple model of heat conduction is constructed. A microscopic cutoff is introduced under which the temperature cannot be defined. The cutoff dependence of the thermal conductivity coefficients is studied. It is shown that sensible continuum limits can be constructed yielding either the standard heat conduction equation or the telegraphist equation with a finite speed of thermal pulses.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:1:p:236-246

DOI: 10.1016/0378-4371(92)90189-W

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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