Stochastic Neutron Transport
And Non-Local Branching Markov Processes
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Beschreibung
This monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked relationship, the authors provide readers an entry point into several active areas, particularly applications related to general radiation transport. Cutting-edge research published in recent years is collected here for convenient reference. Organized into two parts, the first offers a modern perspective on the relationship between the neutron branching process (NBP) and the neutron transport equation (NTE), as well as some of the core results concerning the growth and spread of mass of the NBP. The second part generalizes some of the theory put forward in the first, offering proofs in a broader context in order to show why NBPs are as malleable as they appear to be. Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineers in the field of nuclear research.
This monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked relationship, the authors provide readers an entry point into several active areas, particularly applications related to general radiation transport. Cutting-edge research published in recent years is collected here for convenient reference. Organized into two parts, the first offers a modern perspective on the relationship between the neutron branching process (NBP) and the neutron transport equation (NTE), as well as some of the core results concerning the growth and spread of mass of the NBP. The second part generalizes some of the theory put forward in the first, offering proofs in a broader context in order to show why NBPs are as malleable as they appear to be. Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineersin the field of nuclear research.
Highlights the connection between the theory of neutron transport and the theory of non-local branching processes Provides readers an entry point into several active areas, including applications related to general radiation transport Collects cutting-edge research in the area, serving as a convenient reference
Autor*in
Emma Horton
Themen in »Stochastic Neutron Transport«
Branching processes Stochastic neutron transport Boltzman transport equation Neutron transport equations Non-local branching processes Classical neutron transport theory General radiation transport Markov processes Branching Markov processes Neutron random walk Neutron fission modeling Monte Carlo simulation Martingales
Stimmen zu »Stochastic Neutron Transport«
“Although the field of stochastic branching processes has undergone important developments over the past decades, relatively little attention has been given to its important applications to neutron transport modelling. The book fills this gap in the literature, and additionally provides strong foundations on Markov branching processes and their applications.” (Nicolas Privault, Mathematical Reviews, July, 2025)
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