https://doi.org/10.1140/epjs/s11734-025-02061-5
Regular Article
Basin entropy and the impact of the escape positioning in an open area-preserving map
1
Departamento de Física, Universidade Federal do Paraná, 81531-990, Curitiba, Paraná, Brazil
2
Centro Interdisciplinar de Ciência, Tecnologia e Inovação, Núcleo de Modelagem e Computação Científica, Universidade Federal do Paraná, 81531-990, Curitiba, Paraná, Brazil
3
Nonlinear Dynamics, Chaos, and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, 28933, Móstoles, Madrid, Spain
4
Royal Academy of Sciences of Spain, Valverde 22, 28004, Madrid, Spain
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
25
August
2025
Accepted:
3
November
2025
Published online:
8
November
2025
Abstract
Efficient prediction of high-energy particle escape in toroidal fusion devices remains challenging due to the nonlinear dynamics of chaotic magnetic field line trajectories and their extreme sensitivity to initial conditions. Approaches range from comprehensive magnetohydrodynamic models to simplified Hamiltonian mappings. We contribute to bridging this gap by employing a Hamiltonian mapping model of tokamak field lines featuring reversed shear profiles, combined with basin entropy analysis to quantify uncertainty in particle escape locations. Numerical simulations show that strategic positioning of escape exits delays the growth of basin entropy, shifting sharp increases in entropy to higher levels of external perturbation. Our findings illustrate how nonlinear phase space structures can inform the design of plasma-facing components in fusion reactors, significantly improving predictive control of chaotic transport.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
