{ "id": "2305.09350", "version": "v1", "published": "2023-05-16T11:08:10.000Z", "updated": "2023-05-16T11:08:10.000Z", "title": "Two-species reaction-diffusion system in the presence of random velocity fluctuations", "authors": [ "Michal Hnatič", "Matej Kecer", "Tomáš Lučivjanský" ], "comment": "Accepted for publication in Theor. Math. Phys", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2023-05-16T11:08:10.000Z" } ], "analyses": { "keywords": [ "two-species reaction-diffusion system", "random velocity fluctuations", "study random velocity effects", "field-theoretic perturbative renormalization group", "stochastic navier-stokes equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }