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arXiv · 2208.12038

Critical behavior of the diffusive susceptible-infected-recovered model

Shengfeng Deng·Géza Ódor
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Abstract

The critical behavior of the non-diffusive 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 non-diffusive model. In particular, the manifested crossover behavior in the effective mean-square radius exponents reveals that slow crossover behavior in general diffusive multi-species reaction systems may be ascribed to the interference of multiple length scales and timescales at early times.

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BibTeXRIS

Shengfeng Deng, Géza Ódor. 2022-08-25. Critical behavior of the diffusive susceptible-infected-recovered model. https://doi.org/10.1103/physreve.107.014303

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