# Anomalous dimension in a two-species reaction–diffusion system

@article{VollmayrLee2017AnomalousDI,
title={Anomalous dimension in a two-species reaction–diffusion system},
author={Benjamin P. Vollmayr-Lee and Jack Hanson and R Scott McIsaac and Joshua D. Hellerick},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2017},
volume={51}
}
• Published 17 August 2017
• Physics
• Journal of Physics A: Mathematical and Theoretical
We study a two-species reaction–diffusion system with the reactions A+A→(0,A) and A+B→A, with general diffusion constants DA and DB. Previous studies showed that for dimensions d⩽2 the B particle density decays with a nontrivial, universal exponent that includes an anomalous dimension resulting from field renormalization. We demonstrate via renormalization group methods that the scaled B particle correlation function has a distinct anomalous dimension resulting in the asymptotic scaling C~BB(r…
5 Citations
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We make two corrections to the renormalization group calculation presented in Vollmayr-Lee et al [1]. First, the field renormalization technique presented is not applicable for the B particle density
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• 2020
A computer simulation method is developed, motivated by the technique of Mehra and Grassberger, that determines the complete probability distribution of the B particles for a given realization of the A-particle dynamics, thus providing a significant increase in the quality of statistics.
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• 2019
Two-species reaction diffusion system $$A+B\rightarrow A$$ and $$A+A\rightarrow (\emptyset ,A)$$ is studied in presence of long-range spreading. Long-range hops are described by Levy flights, i.e. by
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In this paper, we employ the renormalization group method to study the long-time asymptotics of solutions to a class of nonlinear integral equations with a generalized heat kernel. The nonlinearities

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