A Thermodynamic Non-Linear Response Relation

Abstract

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

7 pages, 3 figures

References in corpus (5)

• Fluctuations and response of nonequilibrium states
• Nonlinear response and fluctuation dissipation relations
• Response theory: a trajectory-based approach
• Frenetic aspects of second order response
• Measurement of second-order response without perturbation