# Emergent second law for non-equilibrium steady states

@inproceedings{Freitas2021EmergentSL, title={Emergent second law for non-equilibrium steady states}, author={Nahuel Freitas and Massimiliano Esposito}, year={2021} }

A long-sought generalization of the Gibbs distribution to non-equilibrium steady states Pss(x) would amount to relating the self-information I(x) = − log(Pss(x)) of microstate x to measurable physical quantities. By considering a general class of stochastic open systems with an emergent deterministic dynamics, we prove that changes in I(x) along deterministic trajectories can be bounded in terms of the entropy flow Σe. This bound takes the form of an emergent second law Σe+kb∆I ≥ 0 which, as we…

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