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Can someone write down the Boltzmann equation, not neglecting any of the variables of the involved functions and integrals? Specifically, how to concisely capture the "primed" variables in a sensible manner?

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  • $\begingroup$ It is equation 2.13 at homepage.univie.ac.at/franz.vesely/sp_english/sp/node7.html. The right hand side (collision term) depends on the type of collisions particles experinece. It is typically called collision operator since it is a function of distribution function. There are many possible operators. Each one of them describes certain phenomena $\endgroup$ – Gotaquestion Oct 19 '13 at 23:01
  • $\begingroup$ @Gotaquestion: Well yeah, I ask for an explicit statement of it with all arguments written down in a line. Like an equation. Specifically, the primed velocities must be given computational meaning. Like (2.15), but without abbreviations - albeit $\sigma$ can stay as a not further unspecified function. $\endgroup$ – Nikolaj-K Oct 19 '13 at 23:21
  • $\begingroup$ Have a look here [pma.caltech.edu/~mcc/Ph127/b/Lecture14.pdf ] where it is explained in more details. If you need more details have a look at the first 20 pages of E.M. Lifshitz book [amazon.com/… ] I don't think there is a need to write an answer if you are happy with details in those references, right? $\endgroup$ – Gotaquestion Oct 20 '13 at 17:40

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