# Geometry of nonequilibrium reaction networks

@inproceedings{Cengio2022GeometryON, title={Geometry of nonequilibrium reaction networks}, author={Sara Dal Cengio and Vivien Lecomte and Matteo Polettini}, year={2022} }

Building on Kirchho ff ’s treatment of electrical circuits, Hill and Schnakenberg –among others– proposed a celebrated theory for the thermodynamics of Markov processes and linear biochemical networks that exploited tools from graph theory to build fundamental nonequilibrium observables. However, such simple geometrical interpretation does not carry through for arbitrary chemical reaction networks because reactions can be many-to-many and are thus represented by a hypergraph, rather than a…

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