1994/10/20 by Stephen J. Cornell, Stephen Cornell · 39 citations
Chemistry · Mathematics · Physics and Astronomy · #Annihilation #Chemistry #Combinatorics #Diffusion #Dimension (graph theory) #Geometry #Mathematics #Nuclear physics #Physics #Reaction rate #Reaction–diffusion system #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat
paper · pdf · doi:10.1103/physreve.51.4055
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 51(5), 4055-4064 (American Physical Society) · Resubmitted as TeX rather than Postscript file. RevTeX version 3.0, 10 pages with 16 Encapsulated Postscript figures (need epsf). University of Geneva preprint UGVA/DPT 1994/10-857
arxiv created 1994/10/20 · openalex publication_date 1995/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Extensive simulations are performed of the diffusion-limited reaction A+B\ensuremath→0 in one dimension, with initially separated reagents. The reaction rate profile and the probability distributions of the separation and midpoint of the nearest-neighbor pair of A and B particles are all shown to exhibit dynamic scaling independently of the presence of fluctuations in the initial state and of an exclusion principle in the model. The data are consistent with all length scales behaving as t1/4 as t\ensuremath→\ensuremath∞. Evidence of multiscaling, found by other authors, is discussed in light of these findings.