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    Thermodynamic circuits: Modeling chemical reaction networks with nonequilibrium conductance matrices

    Paul Raux1,2, Christophe Goupil2, and Gatien Verley1

    Phys. Rev. E 112, 034112 – Published 2 September, 2025

    DOI: https://doi.org/10.1103/4rsy-786t

    Abstract

    We derive the nonequilibrium conductance matrix for open stationary chemical reaction networks (CRNs) described by a deterministic mass action kinetic equation. As an illustration, we determine the nonequilibrium conductance matrix of a CRN made of two pseudolinear subnetworks, called chemical modules, in two different ways: First by computing the nonequilibrium conductances of the modules that are then serially connected and second by computing the nonequilibrium conductance of the CRN directly. The two approaches coincide, as expected from our theory of thermodynamic circuits.

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    See Also

    Thermodynamic circuits: Association of thermoelectric converters in stationary nonequilibrium

    Paul Raux, Christophe Goupil, and Gatien Verley
    Phys. Rev. E 112, 034111 (2025)

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