Irreversibility of the transport equations

Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 31)


Symmetry Breaking Density Operator Liouville Equation Collision Operator Potential Scattering 


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For the latest ideas of the Brussels group on the mechanical theory of irreversibility, see

  1. I. Prigogine, Acta Pbys. Austriaca, suppl. X (1973) 401.Google Scholar
  2. I. Prigogine, C. George, F. Henin and L. Rosenfeld, Chem. Seripta, 4 (1973) 5.Google Scholar

For our sections 2 to 6, see

  1. R.C. Tolman, “The princples of Statistical Mechanics”, Oxford 1962.Google Scholar
  2. R. Jancel, Foundations of Classical and Quantum Statistical Mechanics Oxford, 169. For our sections 7 and 8, seeGoogle Scholar
  3. K. Huang, Statistical Mechanics, New York, 1963Google Scholar

For the thermodynamic limit, see

  1. P. Mazur and E. Montroll, J. Math. Phys., 1 (1960) 70.MathSciNetADSMATHCrossRefGoogle Scholar
  2. H. Wergeland, in Sitges International School of Physics, May 1974, New York, 1972.Google Scholar

For our sections 11 to 13, see

  1. P. Mazur and J. Biel, Physica, 32 (1966) 1633.ADSCrossRefGoogle Scholar

For the Prigogine-Brout equation, see

  1. R. Brout and I. Prigogine, Physica 22 (1956) 621.MathSciNetADSMATHCrossRefGoogle Scholar
  2. R.W. Zwanzig, In Lectures on Theoretical Physics, vol. 111, New York, 1960.Google Scholar

For the equations of Brownian Motion, see

  1. H. Mori, Progr. Theor. Phys. 33 (1965) 423.ADSMATHCrossRefGoogle Scholar
  2. J.L. Lebowitz and P. Résibois, Phys. Rev. 139A (1965) 1101.ADSCrossRefGoogle Scholar

For the Choh-Uhlenbeck equation, see

  1. J. Biel and J. Marro, Nuovo Cimento, 20 B (1974) 25.MathSciNetCrossRefGoogle Scholar

For a discussion of why some terms of our hierarchies may be neglected, see

  1. J. Biel, J. Marro and L. Navarro, Phys. Lett. 44 A (1973) 41; and Nuovo Cimento 20 B (1974) 55.Google Scholar

For a kinetic theory of irreversibility, see

  1. R. Balescu, in Sitges International School of Physics, May 1972, New York, 1972.Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • J. Biel
    • 1
  1. 1.Facultad de CienciasUniversidad de ValenciaValenciaSpain

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