Beyond the linear fluctuation-dissipation theorem: the role of causality

@article{Lucarini2012BeyondTL,
  title={Beyond the linear fluctuation-dissipation theorem: the role of causality},
  author={Valerio Lucarini and Matteo Colangeli},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2012},
  volume={2012},
  pages={05013}
}
In this paper we tackle the traditional problem of relating the fluctuations of a system to its response to external forcings and extend the classical theory in order to be able to encompass also nonlinear processes. With this goal, we try to build on Kubo's linear response theory and the response theory recently developed by Ruelle for nonequilibrium systems equipped with an invariant Sinai?Ruelle?Bowen (SRB) measure. Our derivation also sheds light on the link between causality and the… 

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