Coarse-grained second-order response theory

  title={Coarse-grained second-order response theory},
  author={Fenna Muller and Urna Basu and Peter Sollich and Matthias Kruger},
  journal={arXiv: Statistical Mechanics},
While linear response theory, manifested by the fluctuation dissipation theorem, can be applied on any length scale, nonlinear response theory is fundamentally of microscopic nature. We develop an exact theoretical framework for analyzing nonlinear (second order) response of coarse grained observables to time-dependent perturbations, using a path-integral formalism. The resulting expressions involve correlations of the observable with coarse grained path weights. The time symmetric part of… 

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