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Title: Chaos in a Gravo-Magneto Neutron Trap

Performance of a neutron trap for cleaning quasi-trapped neutrons depends on what fraction of the neutron orbit are chaotic. In this paper, we argue that the Lyapunov characteristic exponent is a good meaure the chaos because regular orbits have Lyapunov exponent zero and chaotic orbits of a given energy have a common non-zero Lyapunov exponent. The Lyapunov exponent describes the rate of exponential divergence for infinitesimally perturbed initial conditions[1,2]. We show how to calculate the fraction of chaotic trajectories using Benettin's algorithm [1]. We evaluate the fraction of non-chaotic orbits for a trap that consists of a vertical multipole, gravity, and a current loop at the bottom of the trap.
 [1] ;  [1]
  1. ORNL
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Resource Type:
World Scientific Publishing Co. Pte. Ltd., Singapore City, Singapore
Research Org:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Spallation Neutron Source (SNS)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States