Abstract
In this chapter, we break away from the classical view of the NTE described in Chap. 1 and begin our journey into stochastic representation of its solutions. The main objective of this chapter is to look at alternative interpretations of solutions to the NTE in terms of averaging over paths of neutrons. More precisely, we look at the connection to two families of stochastic processes that underly different Feynman–Kac representations of NTE solutions. This sets the scene for the remainder of the first part of this book that delves into a detailed analysis of the path properties of these stochastic processes and how this embodies the physical process of fission as much as it encapsulates the behaviour of solutions.
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Notes
- 1.
We always treat the product over an empty set as equal to unity.
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Horton, E., Kyprianou, A.E. (2023). Stochastic Representation of the Neutron Transport Equation. In: Stochastic Neutron Transport . Probability and Its Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-39546-8_3
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DOI: https://doi.org/10.1007/978-3-031-39546-8_3
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