Nonlinear susceptibilities and the measurement of a cooperative length

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dc.creatorLippiello, E.
dc.creatorCorberi, F.
dc.creatorSarracino, A.
dc.creatorZannetti, M.
dc.date2008-05-22
dc.date.accessioned2026-07-07T09:47:59Z
dc.date.available2026-07-07T09:47:59Z
dc.descriptionWe 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.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0805.3457
dc.identifierhttp://arxiv.org/abs/0805.3457
dc.identifierPhys. Rev. B 77, 212201 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.212201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164045
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleNonlinear susceptibilities and the measurement of a cooperative length
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