Revising and Extending the Linear Response Theory for Statistical Mechanical Systems: Evaluating Observables as Predictors and Predictands

@article{Lucarini2018RevisingAE,
title={Revising and Extending the Linear Response Theory for Statistical Mechanical Systems: Evaluating Observables as Predictors and Predictands},
author={Valerio Lucarini},
journal={Journal of Statistical Physics},
year={2018},
volume={173},
pages={1698-1721}
}
• V. Lucarini
• Published 11 June 2018
• Mathematics
• Journal of Statistical Physics
Linear response theory, originally formulated for studying how near-equilibrium statistical mechanical systems respond to small perturbations, has developed into a formidable set of tools for investigating the forced behaviour of a large variety of systems, including non-equilibrium ones. Mathematically rigorous derivations of linear response theory have been provided for systems obeying stochastic dynamics as well as for deterministic chaotic systems. In this paper we provide a new angle on…

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