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arXiv · 2402.13193

Mutual linearity of nonequilibrium network currents

Pedro E. Harunari·Sara Dal Cengio·Vivien Lecomte·Matteo Polettini
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Abstract

For continuous-time Markov chains and open unimolecular chemical reaction networks, we prove that any two stationary currents are linearly related upon perturbations of a single edge's transition rates, arbitrarily far from equilibrium. We extend the result to non-stationary currents in the frequency domain, provide and discuss an explicit expression for the current-current susceptibility in terms of the network topology, and discuss possible generalizations. In practical scenarios, the mutual linearity relation has predictive power and can be used as a tool for inference or model proof-testing.

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Pedro E. Harunari, Sara Dal Cengio, Vivien Lecomte, Matteo Polettini. 2024-02-20. Mutual linearity of nonequilibrium network currents. https://arxiv.org/abs/2402.13193

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