Consider a system of particles characterized by the distribution function given in problem 5.1 (in Chapter 5).

(a) Show that the absolute temperature of the system is given by

where m is the mass of each particle and k is Boltzmann's constant.

(b) Obtain the following expression for the pressure dyad

where ρm = nm and 1 is the unit dyad.

(c) Verify that the heat flow vector q = 0.

Data from Problem 5.1.

Consider a system of particles uniformly distributed in space, with a constant particle number density n₀, and characterized by a velocity distribution function f(v) such that

where K₀ is a nonzero positive constant. Determine the value of K₀ in terms of n₀ and v₀.

Transcribed Image Text:

T = m 3k