Abstract
The linear integral transport operator for slab geometry is formulated and studied as a mapping on the set of measures on the phase space of the underlying system, with the expected number of neutrons emergent from a collision represented by a measure on the space of outgoing velocities. Under appropriate assumptions it is shown that, if c represents the maximum number of secondary particles per collision, then there exists c 1 ≥1 such that the system is subcritical for c≤c 1 . An example shows that c 1 ≥1 is sharp in general, but further assumptions are given under which one can deduce c 1 >1. The idealized laws of elastic and inelastic scattering are shown to satisfy our assumptions.
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