On the Numerical Stability of the Diffusion Coefficient in Microscopic Simulations
Instrumentation and Methods for Astrophysics
2026-05-14 v1 High Energy Astrophysical Phenomena
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.
Cite
@article{arxiv.2605.12637,
title = {On the Numerical Stability of the Diffusion Coefficient in Microscopic Simulations},
author = {Vladimir Yurovsky and Ilya Kudryashov},
journal= {arXiv preprint arXiv:2605.12637},
year = {2026}
}