Refined Simulations of the Reaction Front for Diffusion-Limited Two-Species Annihilation in One Dimension

Abstract

Extensive simulations are performed of the diffusion-limited reaction A$+$B$\to 0$ in one dimension, with initially separated reagents. The reaction rate profile, and the probability distributions of the separation and midpoint of the nearest-neighbour 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 is consistent with all lengthscales behaving as $t^{1/4}$ as $t\to \infty$. Evidence of multiscaling, found by other authors, is discussed in the light of these findings.

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

References in corpus (1)

• Scaling of Reaction Zones in the A+B->0 Diffusion-Limited Reaction

Cited by in corpus (12)

• Reaction Front in an A+B -> C Reaction-Subdiffusion Process
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Agent-based models for latent liquidity and concave price impact
• The long time behavior of initially separated A+B->0 reaction-diffusion systems with arbitrary diffusion constants
• The Reaction-Diffusion Front for $A+B\to \varnothing$ in One Dimension
• Anomalous impact in reaction-diffusion models
• Dynamic Multiscaling of the Reaction-Diffusion Front for mA+nB ->0
• The asymptotic behaviour of the initially separated A + B(static) -> 0 reaction-diffusion systems
• Diffusion-controlled annihilation $A+B\to 0$ with initially separated reactants: The death of an $A$ particle island in the $B$ particle sea
• Exact Solution of Two-Species Ballistic Annihilation with General Pair-Reaction Probability
• Asymptotic expansion for reversible A + B <-> C reaction-diffusion process
• Localisation Transition of A Dynamic Reaction Front