What Textbooks Cover the Boltzmann Transport Equation in Statistical Mechanics?

[go quantum!]

Hello. Do you know any textbook about Statistical Mechanics that discusses Boltzmann Transport Equation? It is not discussed in the textbooks that I know.

Thank you.

 

[Andy Resnick]

http://en.wikipedia.org/wiki/Boltzmann_equation

It looks like a specific case of the Reynolds transport equation, but it also appears related to "detailed balance", the Langevin model, the Smoluchowski equation, the Fokker-Planck equation...

The context seems to be kinetic theory and correlation functions- I found brief discussions in Boon and Yip's "Molecular Hydrodynamics", and additional material in Chaikin and Lubensky's "Principles of Condensed Matter Physics" and Brenner and Edwards "Macrotransport Processes".

 

[dextercioby]

Landau & Lifschitz' <Physical Kinetics> and R. Balescu's <Nonequilibrium Statistical Mechanics> are sources on this issue. Of course, basically any textbook on nonequlibrium statistical mechanics discusses the BBGKY hierarchy and Boltzmann's equation.

 

[vanhees71]

One of the best books on the subject is

L. Kadanoff, G. Baym, Quantum Statistical Mechanics

An original paper, which however has textbook quality and uses the Schwinger-Keldysh real-time contour formulation of non-relativistic off-equilibrium quantum field theory is the publication of Pawel Danielevic's PhD-Thesis:

Danielewicz, P.: Quantum Theory of Nonequilibrium Processes. 1, Ann. Phys. 152, 239, 1984

For the relativistic case and with extensions to off-shell transport, see the lecture notes by Wolfgang Cassing

Cassing, W.: From Kadanoff-Baym dynamics to off-shell parton transport, Eur. Phys. J. ST 168, 3–87, 2009

For a more general approach also for the relativistic case:

S. R. de Groot, W. A. van Leeuwen, Ch. G. van Weert, Relativistic kinetic theory