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On the use of Ruelle's formalism in response theory

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Mathematics for the Fluid Earth

We use Ruelles formalism to express the response of a generic observable to a certain perturbation in terms of correlation functions computed with respect to the unperturbed invariant measure, for deterministic as well as stochastic dynamics. We discuss the onset of two relevant terms for the entropy production, comment on the Hamiltonian version of the resulting formulae and also propose a connection with similar results, reported in the literature, allowing to extend the Fluctuation-Dissipation formalism to nonequilibrium steady states.

This talk is part of the Isaac Newton Institute Seminar Series series.

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