Adiabatic Approximation of Coarse Grained Second Order Response

Abstract

We propose estimators for dynamic second order response theory in coarse grained variables for driven out-of-equilibrium subsystems. The error is controlled through the the notion of subsystem spectral gap for the convergence of coarse grained observables.

The error bound proposed in the estimator is correct, but may be of the same order of magnitude as the quantity itself