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The fluctuation-dissipation-theorem connects equilibrium to mildly (linearly)perturbed situations in a thermodynamic manner: It involves the observable ofinterest and the entropy production caused by the perturbation. We derive arelation which connects responses of arbitrary order in perturbation strengthto correlations of entropy production of lower order, thereby extending thefluctuation-dissipation-theorem to cases far from equilibrium in athermodynamic way. The relation is validated and studied for a 4-state-model.

A Thermodynamic Non-Linear Response Relation