Book recommendations for Boltzmann equation

[pcflores]

Im trying to learn transport processes and the Boltzmann transport equation. What books do you guys recommend for beginners?

Thanks!

 

[dextercioby]

There is a book on that which looks not too mathematical: https://www.amazon.com/dp/3642116957/?tag=pfamazon01-20
It is expensive on the Amazon website, maybe you can find it in a big university library nearby.

 

[Dr Transport]

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...

 

[vanhees71]

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

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

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

 

[smodak]

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...

Wow. Prof Nag was my professor in Institute of Radiophysics & Electronics Kolkata - a brilliant teacher.