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Elements of a unified framework for response formulae

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Citation

Colangeli, M., & Lucarini, V. (2014). Elements of a unified framework for response formulae. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, P01002. doi:10.1088/1742-5468/2014/01/P01002.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0019-B6D7-2
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 ate dynamical systems approach a la Ruelle and large deviations methods.