Fluctuation-Response Design Rules for Nonequilibrium Flows

Ying-Jen Yang; Ken A. Dill

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arXiv · 2602.10957

Fluctuation-Response Design Rules for Nonequilibrium Flows

Ying-Jen Yang·Ken A. Dill

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Abstract

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to network design in which local transition rates can be systematically varied to achieve global dynamical objectives. It is based on the fluctuation-response duality in the recent Caliber Force Theory -- a path-entropy variational formalism for nonequilibria. This approach scales efficiently with network complexity and gives new insights, for example revealing the transition from timing- to branching-dominated fluctuations in a kinesin motor model.

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BibTeX RIS

Ying-Jen Yang, Ken A. Dill. 2026-02-11. Fluctuation-Response Design Rules for Nonequilibrium Flows. https://arxiv.org/abs/2602.10957

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