{"paper":{"title":"Large-Scale Simulations of Diffusion-Limited n-Species Annihilation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Daniel ben-Avraham, Dexin Zhong, Roan Dawkins","submitted_at":"2003-01-10T19:07:36Z","abstract_excerpt":"We present results from computer simulations for diffusion-limited $n$-species annihilation, $A_i+A_j\\to0$ $(i,j=1,2,...,n;i\\neq j)$, on the line, for lattices of up to $2^{28}$ sites, and where the process proceeds to completion (no further reactions possible), involving up to $10^{15}$ time steps. These enormous simulations are made possible by the renormalized reaction-cell method (RRC). Our results suggest that the concentration decay exponent for $n$ species is $\\a(n)=(n-1)/2n$ instead of $(2n-3)/(4n-4)$, as previously believed, and are in agreement with recent theoretical arguments \\cite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0301155","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","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"}