Adiabatic Approximation of Coarse Grained Second Order Response

TL;DR

This paper introduces estimators for second order response in coarse grained variables of out-of-equilibrium systems, with error control based on subsystem spectral gap ensuring convergence of observables.

Contribution

It presents a novel approach to estimate second order responses in coarse grained models with error bounds linked to spectral gap properties.

Findings

Estimators effectively capture second order responses in coarse grained systems.

Error bounds are established using subsystem spectral gap.

Method applies to driven out-of-equilibrium subsystems.

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.