2009/12/21 by M. Hosoda, Tomoshige Miyaguchi, Katsuyuki Imagawa +1 · 1 voice · 2 citations
Mathematics · Physics and Astronomy · #Chaotic #Computer science #Condensed matter physics #Earth's magnetic field #Electric current #Electric field #Electronic circuit #Field (mathematics) #Magnetic confinement fusion research #Magnetic field #Mathematics #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Ring (chemistry) #Theoretical and Computational Physics
paper · pdf · doi:10.1103/physreve.80.067202
openalex publication_date 2009/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
We investigate simple three-dimensionally crossed wires carrying electric currents which generate chaotic magnetic-field lines (CMFLs). As such wire systems, cross-ring and perturbed parallel-ring wires are studied, since topologically equivalent configurations to these systems can often be found in contemporary electric and integrated circuits. For realistic fundamental wire configurations, the conditions for wire dimensions (size) and current values to generate CMFLs are numerically explored under the presence of the weak but inevitable geomagnetic field. As a result, it is concluded that CMFLs can exist everywhere; i.e., they are ubiquitous in the modern technological world.