Consider (5.6.4), which is the solution of the Boltzmann equation with the relaxation model for the collision
Question:
Consider (5.6.4), which is the solution of the Boltzmann equation with the relaxation model for the collision term, in the absence of external forces and spatial gradients, and when fα0 and the relaxation time τ are time-independent. Show that, according to this simplified equation, we have
where
Thus, according to the relaxation model for the collision term, every average value < χ > α approaches equilibrium with the same relaxation time.
Equation 5.6.4.
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To show that the given equation satisfies the simplified Boltzmann equation 564 and leads to the described behavior lets start by analyzing the equati...View the full answer
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