Applied Physics A

, Volume 67, Issue 4, pp 397–401

The physical defects of the hyperbolic heat conduction equation

  • C. Körner
  • H.W. Bergmann
Regular paper

DOI: 10.1007/s003390050792

Cite this article as:
Körner, C. & Bergmann, H. Appl Phys A (1998) 67: 397. doi:10.1007/s003390050792

In this paper the HHCE is inspected on a microscopic level from a physical point of view. Starting from the Boltzmann transport equations we study the underlying approximations. We find that the hyperbolic approach to the heat current density violates the fundamental law of energy conservation. As a consequence, the HHCE predicts physically impossible solutions with a negative local heat content. This behaviour is demonstrated in detail for a standard problem in heat conduction, the solution for a point source.

Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • C. Körner
    • 1
  • H.W. Bergmann
    • 2
  1. 1.Universität Erlangen-Nürnberg, Lehrstuhl Werkstoffkunde und Technologie der Metalle, Martensstrasse 5, 91058 Erlangen, GermanyDE
  2. 2.Universität Bayreuth, Lehrstuhl Materialwissenschaften III, Ludwig-Thoma-Strasse 36b, 95440 Bayreuth, GermanyDE

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