Nuclear Science and Engineering / Volume 33 / Number 3 / September 1968 / Pages 303-306
Technical Paper / dx.doi.org/10.13182/NSE68-A19238
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A discussion is presented of the quantum-mechanical derivation of the Boltzmann equation, along with a demonstration that use of the superlattice representation of McIrvine and Overhauser enables avoidance of singular and non-physical terms in the Hamiltonian of the neutron-moderator system. The formal validity of the Boltzmann equation in finite systems is analyzed, and it is shown that the transport description is physically meaningful for systems of dimensions >>10−4 cm.