Cellular Sheaf Neural Operators use cell complexes, learned restriction maps, and structure-aware message passing to create discretization-aware neural surrogates that preserve constraints in multiphysics PDEs such as MHD.
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Observed CR pitch-angle diffusion matches quasi-slab fast-mode turbulence predictions shaped by damping, but not Alfvénic turbulence, evidencing fast-mode dominance and constraining LISM to low beta ≈0.1 with δB/B0 ≈0.5.
A review summarizing pitfalls in older CR-MHD models and progress toward more rigorous treatments that connect microphysical CR scales to galactic dynamics.
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Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs
Cellular Sheaf Neural Operators use cell complexes, learned restriction maps, and structure-aware message passing to create discretization-aware neural surrogates that preserve constraints in multiphysics PDEs such as MHD.
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Pitch-Angle Scattering of Cosmic Rays: Confronting Theory with Observations
Observed CR pitch-angle diffusion matches quasi-slab fast-mode turbulence predictions shaped by damping, but not Alfvénic turbulence, evidencing fast-mode dominance and constraining LISM to low beta ≈0.1 with δB/B0 ≈0.5.