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Heat and Mass Transfer

, Volume 34, Issue 6, pp 453–459 | Cite as

Hamiltonian description of the heat conduction

  • E. Magyari
  • B. Keller
Article

Abstract

It is shown that the linear boundary value problems of the heat conduction in a homogeneous slab can be mapped on the initial value problem for a Hamiltonian motion whose phase-space trajectories are subject to an additional restriction, the “arrival condition”. The physical consequences of this formal analogy for the macroscopic heat conduction are discussed in detail.

Keywords

Heat Conduction Physical Consequence Additional Restriction Linear Boundary Formal Analogy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • E. Magyari
    • 1
  • B. Keller
    • 1
  1. 1.Chair for the Physics of Buildings Institute of Building Technology Swiss Federal Institute of Technology (ETH) Zürich Ch-8093 Zürich, SwitzerlandCH

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