Here we have the N-particle distribution function
(Ref. 1 Eq. 2.2)

where
is a normalized constant with the dimensions
of the phase space
.

Normalization condition (Ref. 1 Eq. 2.3):

it is convenient to set (Ref. 1 Eq. 2.4)

where
is the volume of the system and
is the characteristic momentum
of the particles (Ref. 1 Eq. 3.26),

Macroscopic mean values are given by (Ref. 1 Eq. 2.5)

Ref. 1 Eq. 2.6

Ref. 1 Eq. 2.70

where
is the N-particle thermal potential (Ref. 1 Eq. 2.12)

References[edit]
- G. A. Martynov "Fundamental Theory of Liquids. Method of Distribution Functions", Adam Hilger (out of print)