2019/09/09 by A. Sarracino, A. Vulpiani · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.5110262
published as Chaos 29, 083132 (2019) · 13 pages, 7 figures, contribution to the Focus Issue of Chaos, Linear Response Theory: Potentials and Limits, Guest Editor: G. Gottwald
arxiv created 2019/09/09 · arxiv updated 2019/09/10
We review generalized Fluctuation-Dissipation Relations which are valid under general conditions even in ``non-standard systems'', e.g. out of equilibrium and/or without a Hamiltonian structure. The response functions can be expressed in terms of suitable correlation functions computed in the unperperturbed dynamics. In these relations, typically one has nontrivial contributions due to the form of the stationary probability distribution; such terms take into account the interaction among the relevant degrees of freedom in the system. We illustrate the general formalism with some examples in non-standard cases, including driven granular media, systems with a multiscale structure, active matter and systems showing anomalous diffusion.