By K. Karamcheti (Eds.)
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Extra resources for Rarefied Gas Dynamics
The question is that of the perpetuation of chaos, granted that it is satisfied initially to some approximation by the choice of a reproducible initial state. Tsuge has shown  , by expanding the two particle distribution £(2) in a generalized 13-moment approximation for a classical boundary layer flow, that the two point correlations become unstable and grow at exactly the same transition point as the main flow. e. a sample space of repeated experiments) on the NavierStokes equations, taken to be exact.
Formulate a g e n e r a l n o n - e q u i l i b r i u m model for e n t r o p y . This i l l u s t r a t e s very n i c e l y t h e i n t e r p l a y b e t w e e n s t a t i s t i c a l m e c h a n i c s and t h e r m o d y n a m i c s w h i c h h a s b e e n made p o s s i b l e by t h e r e c e n t a d v a n c e s some of w h i c h w e h a v e summarized in t h i s p a p e r . References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. L. Boltzmann, " W e i t e r e Studien ü b e r d a s W a r m e g l e i c h g e w i c h t u n t e r G a s m o l e k u l e n " , W i e n .
9), a collision time τ , and a relaxation time, τ ^ , describing the approach to equilibrium. We further take them to be well separated such that Lim exp ( - i L r t - TR cc t) A = 0 (10) Thus, in the assymptotic limit, (t->x R ) we neglect effects . Here A is a suitable density operator of T C / T R whose matrix elements with the "irreducible" evolution operator U. = exp ( - i L t) F v cc irr, in the thermodynamic limit obey the Lipshitz condition. In Laplace transform space this condition, Eq.