= Molecular chaos for the Boltzmann equation
The incoming two-particle distribution at a collision is approximated by the product of one-particle distributions. This closes the binary collision term into the quadratic <nonlinear Boltzmann collision operator>. It does not assert exact independence after collisions: outgoing pairs can be correlated, and time reversal generally converts those correlations into incoming correlations. A rigorous kinetic limit needs propagation and convergence estimates rather than a bare independence assertion.
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