{"paper":{"title":"On the Numerical Stability of the Diffusion Coefficient in Microscopic Simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Velocity errors affect diffusion coefficients more than spatial errors in cosmic ray simulations.","cross_cats":["astro-ph.HE"],"primary_cat":"astro-ph.IM","authors_text":"Ilya Kudryashov, Vladimir Yurovsky","submitted_at":"2026-05-12T18:29:08Z","abstract_excerpt":"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."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We found that velocity errors have a greater impact on the result than spatial ones.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the identified numerical errors are the dominant factor affecting the diffusion coefficient without other unaccounted simulation artifacts or model assumptions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Velocity errors affect diffusion coefficient results more than spatial errors in microscopic simulations of Galactic Cosmic Rays.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Velocity errors affect diffusion coefficients more than spatial errors in cosmic ray simulations.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"20aa8f248394d78a178404d4743708b33e24c3dbcb598116c22c104e1152881a"},"source":{"id":"2605.12637","kind":"arxiv","version":1},"verdict":{"id":"b583a4c9-a396-4fae-9ca4-ee951bf12897","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T20:09:14.625853Z","strongest_claim":"We found that velocity errors have a greater impact on the result than spatial ones.","one_line_summary":"Velocity errors affect diffusion coefficient results more than spatial errors in microscopic simulations of Galactic Cosmic Rays.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the identified numerical errors are the dominant factor affecting the diffusion coefficient without other unaccounted simulation artifacts or model assumptions.","pith_extraction_headline":"Velocity errors affect diffusion coefficients more than spatial errors in cosmic ray simulations."},"references":{"count":16,"sample":[{"doi":"","year":null,"title":"The divergence of the curves for small path lengths is due to the absence of trajectory points 4 and the odd transformation of the curves in double logarithmic scales 5","work_id":"1d525c77-0ee6-4e15-abaa-af36e4ddccf9","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"We can observe that the more velocity error the 9 FIG","work_id":"d01eaf3c-f951-4620-a2be-d76b652f3489","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"M. ´Angel Velasco, J. Casaus, and M. Molero, Determination of the anisotropy of elementary particles with the alpha magnetic spectrometer on the international space station, Advances in Space Research","work_id":"473d6d39-bcba-43de-ad49-078939abf20e","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"P.-X. Ma, Z.-H. Xu, Q. Yuan, X.-J. Bi, Y.-Z. Fan, I. V. Moskalenko, and C. Yue, Interpreta- tions of the cosmic ray secondary-to-primary ratios measured by dampe, Frontiers of Physics 18, 44301 (2023)","work_id":"d883e863-7b91-4e61-b176-c1462bce371c","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1988,"title":"J. A. Simpson and M. Garcia-Munoz, Cosmic-ray lifetime in the galaxy: Experimental results and models, Space Science Reviews46, 205 (1988)","work_id":"9bd6c3b4-0414-43fe-9dda-1d386794126c","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":16,"snapshot_sha256":"2000d8713d8e3b49be2a3bdd47d957b5612019021c9d4bd67224e636c45dacdf","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}