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Hydrodynamical pathways in the phase change of real fluids.

Gallo M, Occhioni F, Daniele R, Casciola C.   +3 more
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Nonlinear fluctuation-dissipation theorem

Journal of Statistical Physics, 1972
Using statistical mechanical perturbation theory, the second-order average current density response is calculated for magnetic field-free classical plasmas. A dynamical fluctuation-dissipation theorem is then derived, thus establishing a connection between triplet microscopic current-current correlations and quadratic response functions; it also leads ...
K. I. Golden, G. Kalman, M. B. Silevitch
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New fluctuation-dissipation theorems.

Journal of Molecular Liquids, 1990
Abstract New fluctuation-dissipation theorems are derived for the linear and non-linear theories of dielectric relaxation and the dynamic Kerr effect caused by an applied static electric field EZ in the Z axis of the laboratory frame (X, Y, Z). These are based on the set of non-vanishing cross correlation functions now known to exist in all molecular
M.W. Evans, D.M. Heyes
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Fluctuation-dissipation theorem density-functional theory

The Journal of Chemical Physics, 2005
Using the fluctuation-dissipation theorem (FDT) in the context of density-functional theory (DFT), one can derive an exact expression for the ground-state correlation energy in terms of the frequency-dependent density response function. When combined with time-dependent density-functional theory, a new class of density functionals results that use ...
Filipp, Furche, Troy, Van Voorhis
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On fluctuation-dissipation theorems

Transport Theory and Statistical Physics, 1972
Abstract A number of fluctuation-dissipation theorems are reviewed. Their relationship, relative information content, and applicability are discussed. Detailed consideration is given to some subtle points frequently glossed over. To illustrate, some general theorems and a few pedagogical examples are treated.
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Fluctuation dissipation theorems and irreversible thermodynamics

Physical Review E, 2001
We investigate the statistics of fluctuations in macroscopic systems described by thermodynamics. We begin by reviewing fluctuations in the context of linear irreversible thermodynamics and show that a more direct characterization of the fluctuations is possible, if velocity fluctuations are explicitly included in the second variation of the entropy ...
McKane, A. J., Vazquez, F.
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A generalized fluctuation-dissipation theorem

Physics Letters A, 1967
Abstract It is shown that a generalized form of the fluctuation-dissipation theorem may be considered as a simple probabilistic relation within a theory of probability operators. This theory is gained by extending the notion of density operators.
A. Stahl, R. Bausch, H.K. Janssen
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Derivation of the Fluctuation-Dissipation Theorem

Physical Review, 1958
A simple derivation is given of the fluctuation-dissipation theorem or generalized Nyquist formula. The proof is based on a solution of the Langevin equation for a thermodynamic variable according to Ornstein's method; in this way the correlation function and the spectrum are obtained directly in the desired form.
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Fluctuation–dissipation theorem for QCD plasma

Journal of Mathematical Physics, 1985
We explore a quantum-chromodynamic (QCD) plasma in stationary nonequilibrium states assuming that the process of thermalization is governed by Fokker–Planck dynamics. The generalized thermodynamic potential appropriate to the state is obtained. A relationship is developed between the response function and the fluctuations in the stationary state.
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Fluctuation-dissipation theorems for classical processes

Physical Review A, 1975
For certain types of classical processes a fluctuation-dissipation theorem (FDT) holds. The validity of such a theorem is preserved in each order of mass renormalization in the perturbation scheme recently developed by Martin, Siggia, and Rose (MSR). As a consequence, whenever the response function can be expressed in terms of the two-point correlation
Uli Deker, Fritz Haake
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