2008/05/22 by Eugenio Lippiello, E. Lippiello, Federico Corberi +5 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Applied mathematics #Basis (linear algebra) #Computer science #Correlation function (quantum field theory) #Dissipation #Function (biology) #Generality #Markov chain #Markov process #Master equation #Material Dynamics and Properties #Mathematics #Nonlinear system #Observable #Order (exchange) #Physics #Quantum mechanics #Relation (database) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.77.212201
published as Phys. Rev. B 77, 212201 (2008) · 5 pages, 2 figures
arxiv created 2008/05/22 · openalex publication_date 2008/06/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the exact beyond-linear fluctuation-dissipation relation, connecting the response of a generic observable to the appropriate correlation functions, for Markov systems. The relation, which takes a similar form for systems governed by a master equation or by a Langevin equation, can be derived to every order in large generality with respect to the considered model in equilibrium and out of equilibrium, as well. On the basis of the fluctuation-dissipation relation, we propose a particular response function, namely the second-order susceptibility of the two-particle correlation function, as an effective quantity to detect and quantify cooperative effects in glasses and disordered systems. We test this idea by numerical simulations of the Edwards--Anderson model in one and two dimensions.