# Two-species reaction-diffusion system in the presence of random velocity fluctuations

Source: [Two-species reaction-diffusion system in the presence of random velocity fluctuations](<https://www.sota2.com/research/paper/68fa45731e209131ce918baa>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:54:43.028Z

Authors: Michal Hnati\\v{c}, Matej Kecer, Tom\\'a\\v{s} Lu\\v{c}ivjansk\\'y

Published: 2023-05-16T11:08:10.000Z

## Abstract

We study random velocity effects on a two-species reaction-diffusion system consisting of three reaction processes $A + A \\rightarrow (\\varnothing, A),A+B \\rightarrow A$. Using the field-theoretic perturbative renormalization group we analyze this system in the vicinity of its upper critical dimension $d\_c = 2$. Velocity ensemble is generated by means of stochastic Navier-Stokes equations. In particular, we investigate the effect of thermal fluctuations on reaction kinetics. The overall analysis is performed to the one-loop approximation and possible macroscopic regimes are identified.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2305.09350>)

[PDF](<https://arxiv.org/pdf/2305.09350.pdf>)