English

Elements of a unified framework for response formulae

Statistical Mechanics 2015-06-17 v2

Abstract

We provide a physical interpretation of the first and second order terms occurring in Ruelle's response formalism. We show that entropy fluxes play a major role in determining the response of the system to perturbations. Along this line, we show that our framework allows one to recover a wealth of previous results of response theory in both deterministic and stochastic contexts. In particular, we are able to shed light on the crosslinks between the dynamical systems approach \'{a} la Ruelle and large deviations methods.

Cite

@article{arxiv.1310.1747,
  title  = {Elements of a unified framework for response formulae},
  author = {Matteo Colangeli and Valerio Lucarini},
  journal= {arXiv preprint arXiv:1310.1747},
  year   = {2015}
}
R2 v1 2026-06-22T01:41:37.297Z