The Minimum Entropy Production Variational Principle

  • Wilhelm Brenig


In this chapter we consider a very useful variational principle. Section 40.1 describes the principle generally and Sect. 40.2 applies it to the calculation of transport coefficient.


Variational Principle Spectral Function Transport Coefficient Fermi Liquid Collision Operator 
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  1. 40.1
    Chapman, S., Cowling, T.G.: The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge 1952) Chaps. 9, 10Google Scholar
  2. 40.2
    Landau, LJD., Lifshitz, EM.: Mechanics, Course of Theoretical Physics, Vol. 1 ( Pergamon, Oxford 1959 )Google Scholar
  3. 40.3
    Resibois, P., De Leener, M.: Classical Kinetic Theory of Fluids ( Wiley, New York 1977 )Google Scholar
  4. 40.4
    Hirschfelder, J.O., Curtiss, CP., Bird, R.B.: Molecular Theory of Gases and Liquids ( Wiley, New York 1954 )zbMATHGoogle Scholar
  5. 40.5
    Mannari, I.: Prog. Theor. Phys. 26, 51 (1961) Baym, G.: Phys. Rev. 135A, 1691 (1964)Google Scholar
  6. 40.6
    Kadanoff, L.P., Falko, IX: Phys. Rev. 136A, 1170 (1964) Schmid, A.: Z. Phys. 259, 421 (1973)Google Scholar
  7. 40.7
    Pippard, A.B.: Philos. Mag. 46, 1104 (1955)Google Scholar
  8. 40.8
    Jensen, H.H., Smith, H., Wilkins, J.W.: Phys. Rev. 185, 323 (1969)MathSciNetADSCrossRefGoogle Scholar
  9. 40.9
    Baym, G., Ebner, C.: Phys. Rev. 170, 346 (1968) Emery, VX: Phys. Rev. 175, 251 (1968)CrossRefGoogle Scholar

Additional Reading

  1. Kohler, M.: Ann. Phys. (Leipzig) 40, 601 (1941)ADSzbMATHGoogle Scholar
  2. Kohler, M.: Z. Phys. 124, 772 (1948)MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Wilhelm Brenig
    • 1
  1. 1.Physik-DepartmentTechnische Universität MünchenGarchingFed. Rep. of Germany

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