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By Ken Neubeck

A-10 Warthog КНИГИ ;ВОЕННАЯ ИСТОРИЯ Издательство: Squadron/Signal publicationsСерия: Mini 4Автор(ы): Ken NeubeckЯзык: EnglishГод издания: 1995Количество страниц: 52ISBN: 0-89747-335-3Формат: pdf (300 dpi) 1600x 2470Размер: 41.8 mbRapid 17

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Thus, why, instead of putting the correct potential extending to infinity into the equations, do we introduce the artificial molecular diameter a? The answer is simple: because otherwise one could not even write the Boltzmann equation. As a Sect. , consistency forces us to accept the restriction a < a0 ~ n- 113 • A first important step toward a justification of the standard treatment with a = oo would be to show that there are no practical differences between taking a = oo and a = a 0 ~ n- 113 • But this seems unlikely to be verified when appreciable changes arise on distances ofthe order of the length of the average path of a molecule between two subsequent coliisions (the so-called mean free path).

It is clear from Eq. 22) of Chapter I that the left-hand side and the right-hand side are completely different in nature, from both a mathematical and a physical standpoint. " The right-hand side of Eq. 1) which acts on the velocity-dependence off; it describes the effect of interactions, and is accordingly called the collision integral, or, equivalently, the collision operator, or, simply, the collision term. The limits of integration shown in Eq. 22) of Chapter I have been omitted here for simplicity in notation.

An elementary example of random events, which are also statistically uncorrelated, is given by the results of throwing a pair of dice; the fact that we obtain a certain number from one die does not influence the number which is shown by the other die, and the probability of getting a given combination (say, two from the first die and five from the 22 Basic Principles [Ch. , the product of getting a given number from the first and any number from the second (which is 1/6) times the product of getting a given number from the second and any number from the first (which is also 1/6).

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