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Challenges of random motion in rotational media for radioisotope transmutation
Alberto M Campos1, Tarcísio P R Campos2
1Universidade Federal de Minas Gerais, Av. Pres. Antônio Carlos, 6627 - Pampulha, Belo Horizonte, 31270-901, MG, Brazil; Centro de Desenvolvimento de Tecnologia Nuclear, Campus da Universidade Federal de - Av. Pres. Antônio Carlos, 6627 - Pampulha, Belo Horizonte, 31270-901, MG, Brazil; Instituto de Ciências Exatas, Av. Pres. Antônio Carlos, 6627 - Pampulha, Belo Horizonte, 31270-901, MG, Brazil.
None:
This article deals with a specific collision-based random walk in R3, which traces the path of particles that collide with the environment at random moments. The particle always walks in a straight line and only changes its speed and direction during collisions. The goal is to investigate the dynamics and first-order behavior of a collision-based random walk in a deterministic rotational environment. A set of theorems and remarks was presented following computational simulations based on broad mathematical parameters. A specific view restricted to neutron dynamics was addressed by issuing neutron energy and angular distribution. Applications in burning of long-lived radionuclides and radioisotope production arise. Transmutations of 241Am and 226Ra, and 177Lu production were investigated. We prove asymptotically that the particle rotates with space and feels a type of radial force, performing a spiral movement. Such motion gives rise to suitable spectral and directive control of the neutron probability distribution at the outer cylinder surface. This neutron population can support the transmutation of diverse nuclide targets.
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