English

Radial Evolution in a Reaction-Diffusion Model

Statistical Mechanics 2023-12-29 v3

Abstract

In this work, we investigate an off-lattice version of the diffusion-reaction model, A+AAA + A \leftrightarrow A. We consider extensive numerical simulation of the radial system obtained from a single seed. Observed fluctuations in such an evolving system are characterized by a circular region occupied by particles growing over an empty one. We show that the fluctuating front separating the two regions belongs to the circular subclass of the Kardar-Parisi-Zhang universality class.

Keywords

Cite

@article{arxiv.2308.00671,
  title  = {Radial Evolution in a Reaction-Diffusion Model},
  author = {Sofia M. Silveira and Sidiney G. Alves},
  journal= {arXiv preprint arXiv:2308.00671},
  year   = {2023}
}

Comments

11 pages, 11 figures

R2 v1 2026-06-28T11:45:44.609Z