Critical behavior of the diffusive susceptible-infected-recovered model

Shengfeng Deng and Géza Ódor
Phys. Rev. E 107, 014303 – Published 19 January 2023

Abstract

The critical behavior of the nondiffusive susceptible-infected-recovered model on lattices had been well established in virtue of its duality symmetry. By performing simulations and scaling analyses for the diffusive variant on the two-dimensional lattice, we show that diffusion for all agents, while rendering this symmetry destroyed, constitutes a singular perturbation that induces asymptotically distinct dynamical and stationary critical behavior from the nondiffusive model. In particular, the manifested crossover behavior in the effective mean-square radius exponents reveals that slow crossover behavior in general diffusive multispecies reaction systems may be ascribed to the interference of multiple length scales and timescales at early times.

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  • Received 26 August 2022
  • Revised 30 November 2022
  • Accepted 4 January 2023

DOI:https://doi.org/10.1103/PhysRevE.107.014303

©2023 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsInterdisciplinary Physics

Authors & Affiliations

Shengfeng Deng* and Géza Ódor

  • Institute of Technical Physics and Materials Science, Centre for Energy Research, P.O. Box 49, H-1525 Budapest, Hungary

  • *shengfeng.deng@ek-cer.hu
  • odor@mfa.kfki.hu

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Vol. 107, Iss. 1 — January 2023

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