Measurement of second-order response without perturbation

Abstract

We study the second order response functions of a colloidal particle being subjected to an anharmonic potential. Contrary to typical response measurements which require an external perturbation, here we experimentally confirm a recently developed approach where the system's susceptibilities up to second order are obtained from the particle's equilibrium trajectory [PCCP $17$, 6653 (2015)]. The measured susceptibilities are in quantitative agreement with those obtained from the response to an external perturbation.

arXiv comment4 figures

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• Extrapolation to nonequilibrium from coarse grained response theory
• The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
• A Thermodynamic Non-Linear Response Relation
• Coarse-grained Second Order Response Theory