Göttingen 2025 – wissenschaftliches Programm
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EP: Fachverband Extraterrestrische Physik
EP 12: Sun and Heliosphere V
EP 12.2: Vortrag
Donnerstag, 3. April 2025, 16:45–17:00, ZHG101
Modeling superdiffusive Particle Motion with truncated Lévy Flights* — •Magdalena Litwin1,2, Sophie Aerdker1,2, Lukas Merten1,2, and Horst Fichtner1,2 — 1Theoretical Physics IV, Plasma Astroparticle Physics, Faculty for Physics and Astronomy, Ruhr University Bochum, 44780 Bochum, Germany — 2Ruhr Astroparticle and Plasma Physics Center (RAPP Center), Germany
In the heliosphere, power-law profiles of high-energetic particles at shocks have been observed. These observations point to anomalous, non-Gaussian, transport behavior that might result from intermittent magnetic field structures. Previous studies showed that the power-law distributions can be described by a Lévy flight model. One limitation of such models is that the mean square displacement diverges. In Lévy walk models a spatio-temporal coupling leads to a finite mean-square displacement. We present a similar approach, a truncated Lévy flight model where the mean-square displacement is well-defined. The truncated Lévy flights are simulated with a modified version of the public software framework CRPropa 3.2. The resulting spatial distributions of the new model are compared to those obtained with non-truncated Lévy flight and Lévy walk models. First applications of particle transport at a shock are presented. *supported by SFB1491
Keywords: Superdiffusion; Acceleration of Particles; Stochastic Differential Equations