The boltzmann transport equation double integral

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The discussion centers on the Boltzmann transport equation, specifically the double integral involved in the scattering term. Participants seek clarity on the variables being integrated and the rationale behind these integrations. The reference to the article from 1960 and the work of Landau & Lifschitz highlights the foundational literature in kinetic theory relevant to this topic. Understanding these integrations is crucial for accurately applying the Boltzmann transport equation in various physical contexts.

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  • Research the specifics of the scattering term in the Boltzmann transport equation
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Physicists, researchers in statistical mechanics, and students studying kinetic theory who seek to understand the intricacies of the Boltzmann transport equation and its applications in various fields.

shaun evans
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hi,

i've never posted on here before but would appreciate any help given for this question.

The scattering term (4th term) in the Boltzmann transport equation contains a double integral.

What are you integrating over in each case and why is this?

this may be a simple question but as i said any help would be gratefully appreciated.

thanks,

shaun
 
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I don't have access to this article, if you do, then I hope it proves a valuable source of information.
http://adsabs.harvard.edu/abs/1960AmJPh..28...1D

Other than that, I vaguely remember that the transport equation was dealt with by Landau & Lifschitz in the volume on Kinetical theory.

Also, you may want to check this part, too.
 

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