Anomalous dimension in a two-species reaction–diffusion system

  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},
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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