A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions
نویسنده
چکیده
A nonlinear generalization of the Fluctuation-Dissipation Theorem (FDT) for the n-point Green functions and the amputated 1PI vertex functions at finite temperature is derived in the framework of the Closed Time Path formalism. We verify that this generalized FDT coincides with known results for n = 2 and 3. New explicit relations among the 4-point nonlinear response and correlation (fluctuation) functions are presented. Typeset using REVTEX
منابع مشابه
Experimental accessibility of generalized fluctuation-dissipation relations for nonequilibrium steady states.
We study the fluctuation-dissipation theorem for a brownian particle driven into a nonequilibrium steady state experimentally. We validate two different theoretical variants of a generalized fluctuation-dissipation theorem. Furthermore, we demonstrate that the choice of observables crucially affects the accuracy of determining the nonequilibrium response from steady state nonequilibrium fluctua...
متن کاملAging and fluctuation-dissipation ratio in a nonequilibrium q-state lattice model.
A generalized version of the nonequilibrium linear Glauber model with q states in d dimensions is introduced and analyzed. The model is fully symmetric, its dynamics being invariant under all permutations of the q states. Exact expressions for the two-time autocorrelation and response functions on a d-dimensional lattice are obtained. In the stationary regime, the fluctuation-dissipation theore...
متن کاملNew Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems
We develop and test two novel computational approaches for predicting the mean linear response of a chaotic dynamical system to small change in external forcing via the fluctuation-dissipation theorem. Unlike the earlier work in developing fluctuationdissipation theorem-type computational strategies for chaotic nonlinear systems with forcing and dissipation, the new methods are based on the the...
متن کاملFluctuation relations for diffusion that is thermally driven by a nonstationary bath.
In the context of the Markovian dynamical evolution in a nonstationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation relations, which are global versions either of the generalized fluctuation-dissipation theorem around a nonequilibrium diffusion or of the usual fluctuation...
متن کاملFluctuation-dissipation theorem for the microcanonical ensemble.
A derivation of the fluctuation-dissipation theorem for the microcanonical ensemble is presented using linear response theory. The theorem is stated as a relation between the frequency spectra of the symmetric correlation and response functions. When the system is not in the thermodynamic limit, this result can be viewed as an extension of the fluctuation-dissipation relations to a situation wh...
متن کامل