Consider a medium with temperature gradient d/dx. The particle concentration is constant. (a) Employ the Boltzmann transport

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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:

3 dt fo dx 1. 2t

(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 = 5nττc/m.

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Thermal Physics

ISBN: 978-0716710882

2nd Edition

Authors: Charles Kittel, Herbert Kroem

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