Abstract
AbstractThe manifold of solutions of the Boltzmann equation in the relaxation time approximation for particles in a constant field is obtained in closed form. The Green's function for the infinite domain and the moments of the probability distribution are calculated explicitly. A generalized drift‐diffusion equation with local temperatures is obtained by matching moments. The Green's function for the finite domain is derived for vanishing equilibrium temperature β → ∞ in a ballistic regime of large momentum gain between collisions.
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