Universal criticality of entropy production in chemical reaction networks

Kyota Tamano; Keiji Saito

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arXiv · 2605.03192

Universal criticality of entropy production in chemical reaction networks

Kyota Tamano·Keiji Saito

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Abstract

Stochastic thermodynamics gives universal relations for microscopic entropy production, yet its critical behavior at macroscopic nonequilibrium transitions remains unclassified. We study well-mixed reversible chemical reaction networks in the macroscopic-first limit, where transitions arise as local bifurcations of mass-action dynamics. Using linear-noise formulas, center-manifold normal forms, and Floquet theory, we obtain generic exponents for entropy-production fluctuations and responses at pitchfork, transcritical, saddle-node, and Hopf bifurcations. Beyond this low-order classification, a trajectory-space Cram\'{e}r-Rao type bound yields the universal scaling inequality $\alpha - 2\beta \geq 0$. Hence divergent responses require divergent fluctuations, but not conversely, making entropy-production fluctuations a sharper probe of nonequilibrium criticality.

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Kyota Tamano, Keiji Saito. 2026-05-04. Universal criticality of entropy production in chemical reaction networks. https://arxiv.org/abs/2605.03192

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