Consider the case of Maxwell molecules, for which the interparticle force is of the form

where K is a constant.
(a) Without specifying the form of the distribution functions f_α(v) and f_β(v₁) for the particles of type α and β, show that the time rate of change of momentum for the particles of type α per unit volume, due to collisions, is given by

where ν_αβ is the collision frequency for momentum transfer, given explicity by

where A₁(5) is a dimensionless number (of order unity) defined by (with p = 5 and ℓ = 1)

(b) For the same case, show that the time rate of change of energy for the particles of type α per unit volume, due to collisions, is given by

where

Transcribed Image Text:

F(r) K р5