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Nonlinear fluctuation-dissipation theorem

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Abstract

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 to a static fluctuation-dissipation theorem which provides a dielectric description of the equilibrium ternary correlation. A comparison of the latter with its expansion in terms of the Mayer pair correlation clusters is discussed.

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Partly supported by Contract F19628-71-C-0078.

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Golden, K.I., Kalman, G. & Silevitch, M.B. Nonlinear fluctuation-dissipation theorem. J Stat Phys 6, 87–118 (1972). https://doi.org/10.1007/BF01023681

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