The h-theorem and Onsager principle for the stationary Boltzmann's equation
β Scribed by A.M. Bishaev; V.A. Rykov
- Publisher
- Elsevier Science
- Year
- 1983
- Weight
- 629 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0041-5553
No coin nor oath required. For personal study only.
β¦ Synopsis
Let us denote the distance between the surfaces S~and S. by a. As the surface S. tends to infinity, that is, as d-+"", the second integral tends to zero. In fact, for large a, on the surface S. we should have /=/.(l+cp), where cp-+O as d..... "".
For this reason, In (///.) ""cp-cp'/2, lim Hsn/In-LdSda= ,-.
/.
BΓ΅ : ~Hsn/.CPβ’dSdo+~~Hs.(f-/.)dsdo.
'.
'.
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