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We show that a regularized stationary Boltzmann equation with diffusive boundary conditions can be rigorously derived from a suitable stochastic N-particle system. To do this, we prove that the L1 -distance between the k-particle density and the k-fold product of the solution to the stationary Boltzmann equation is of order 1/N.
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Caprino et al. (1998) studied this question.
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