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arXiv · 2605.12637

On the Numerical Stability of the Diffusion Coefficient in Microscopic Simulations

Vladimir Yurovsky·Ilya Kudryashov
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Abstract

Nowadays, the calculation of the Galactic Cosmic Rays diffusion coefficient with direct microscopic numerical simulations is a widespread approach. In this work, we investigated the numerical limits for such calculations and demonstrated that modern computations are affected by the influence of numerical errors. We found that velocity errors have a greater impact on the result than spatial ones.

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Vladimir Yurovsky, Ilya Kudryashov. 2026-05-12. On the Numerical Stability of the Diffusion Coefficient in Microscopic Simulations. https://arxiv.org/abs/2605.12637

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