Extended Thermodynamics

  • Ingo Müller
  • Tommaso Ruggeri

Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 37)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ingo Müller, Tommaso Ruggeri
    Pages 17-39
  3. Ingo Müller, Tommaso Ruggeri
    Pages 41-62
  4. Ingo Müller, Tommaso Ruggeri
    Pages 63-109
  5. Ingo Müller, Tommaso Ruggeri
    Pages 111-124
  6. Ingo Müller, Tommaso Ruggeri
    Pages 125-138
  7. Ingo Müller, Tommaso Ruggeri
    Pages 139-160
  8. Ingo Müller, Tommaso Ruggeri
    Pages 161-168
  9. Ingo Müller, Tommaso Ruggeri
    Pages 169-186
  10. Ingo Müller, Tommaso Ruggeri
    Pages 187-211
  11. Ingo Müller, Tommaso Ruggeri
    Pages 213-223
  12. Back Matter
    Pages 225-231

About this book


Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.


Boltzmann equation kinetic theory thermodynamics

Authors and affiliations

  • Ingo Müller
    • 1
  • Tommaso Ruggeri
    • 2
  1. 1.Fachbereich 10, Verfahrenstechnik und EnergietechnikTechnische Universität BerlinBerlin 12Germany
  2. 2.Università degli Studi di Bologna, C.I.R.A.M., Centro Interdipartimentale di Ricerca per le Applicazioni della MatematicaBolognaItaly

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0449-4
  • Online ISBN 978-1-4684-0447-0
  • Series Print ISSN 0081-3877
  • Buy this book on publisher's site