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Averages Involving Functions in the Phase Space of One Molecule Only

2 Averages Involving Functions in the Phase Space of One Molecule Only [Pg.25]

In developing expressions for the fluxes, averages of the following general form arise  [Pg.25]

We start by rewriting 5(r - r) as the integral of the product of two delta functions  [Pg.25]

Next we introduce into the integrand the products of integrals over the delta functions 5(rJ — r ) with and also products of integrals over the delta [Pg.25]

When the integrations over all momenta are performed and the definition in Eq. (5.1) is used, this becomes  [Pg.25]




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Average function

Average functionality

Average molecule

Averages phase average

Function space

Functional molecules

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One-phase

Ones function

Phase average

Phase function

Phase molecules

Phase space

Phase space averages

Space of functions

Spacing of molecules

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