# 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} }

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

### Corrigendum: Anomalous dimension in a two-species reaction–diffusion system (2018 J. Phys. A: Math. Theor. 51 034002)

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2020

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…

### Two-Species Reaction-Diffusion System: the Effect of Long-Range Spreading

- Physics
- 2020

We study fluctuation effects in the two-species reaction-diffusion system A + B → O and A + A → (O, A ). In contrast to the usually assumed ordinary short-range diffusion spreading of the reactants…

### Numerical simulation of the trapping reaction with mobile and reacting traps.

- PhysicsPhysical review. E
- 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.

### Effect of Long-Range Spreading on Two-Species Reaction-Diffusion System

- Physics
- 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…

### Asymptotics for nonlinear integral equations with a generalized heat kernel using renormalization group technique

- MathematicsJournal of Mathematical Physics
- 2019

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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