Consider a medium with temperature gradient d/dx. The particle concentration is constant. (a) Employ the Boltzmann transport equation in the relaxation time approximation to find

Consider a medium with temperature gradient dτ/dx. The particle concentration is constant.

(a) Employ the Boltzmann transport equation in the relaxation time approximation to find the first order non-equilibrium classical distribution:

(b) Show that the energy flux in the x direct ion is

where vx2 = 2ε/3m.

(c) Evaluate the integral to obtain for the thermal conductivity K = 5nττ_c/m.

3 dt fo dx 1. 2t