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Classical Book recommendations for Boltzmann equation

  1. Oct 4, 2016 #1
    Im trying to learn transport processes and the Boltzmann transport equation. What books do you guys recommend for beginners?

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  3. Oct 4, 2016 #2


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    Last edited by a moderator: May 8, 2017
  4. Oct 4, 2016 #3

    Dr Transport

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    BR Nag: Electron Transport in Compound Semiconductors

    my dissertation was on transport in anisotropic semiconductors and look for Madarasz in Phys Rev B in the mid '80's. PM me and I'll set you on the path if you want to read my thesis.....
  5. Oct 5, 2016 #4


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    I love vol. X of Landau&Lifshitz. It even contains the Schwinger-Keldysh real-time formalism in a later chapter, but it also starts out from the basic classical version and is the only book which gets the detailed-balance principle right. It's not necessary for the S-matrix to be symmetric under parity and time reversal, but unitarity is sufficient. Of course, the Boltzmann equation, the H theorem etc. works also for the weak interaction, which has a unitary S-matrix but is neither P nor T invariant.

    For the relativistic Boltzmann equation, a marvelous book is

    C. Cercignani, G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications, Birkhäuser Verlag 2002.

    For a derivation from quantum many-body theory (non-relativistic case), using the Keldysh real-time formalism a very good (even pedagogical) treatment can be found in

    P. Danielewicz, Quantum Theory of Nonequilibrium Processes I, Ann. Phys., 152 (1984), p. 239.
    http://dx.doi.org/10.1016/0003-4916(84)90092-7 [Broken]

    P. Danielewicz, Quantum Theory of Nonequilibrium Processes II. Application to Nuclear Collisions, Ann. Phys., 152 (1984), p. 305–326.
    http://dx.doi.org/10.1016/0003-4916(84)90093-9 [Broken]

    Another standard review article is

    W. Botermans and R. Malfliet, Quantum transport theory of nuclear matter, Phys. Rept., 198 (1990), p. 115–194.
    http://dx.doi.org/10.1016/0370-1573(90)90174-Z [Broken]
    Last edited by a moderator: May 8, 2017
  6. Oct 5, 2016 #5
    Wow. Prof Nag was my professor in Institute of Radiophysics & Electronics Kolkata - a brilliant teacher.
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