Field Point Formulation and General Properties

We first show how the pseudo-Liouville operator in phase space can be written in terms of an operator in field point space when it acts on the phase space densities. Consider 

The elastic collision term may be analyzed as follows, using the fact that the solute molecules are dilute. Let 

Consider the calculation of the first term on the right-hand side, 

Using the hard-sphere collision dynamics [(6.7)] and the properties of the delta functions, one may show that 

The reactive contribution may be calculated in a similar way. Consider the reactive operator defined in (6.13), 

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