An approximate nonlinear-response theory is derived by maximizing the information theoretic entropy in the space of fluctuations J(t) of the degree of freedom of interest, subject to constant-energy dissipation in the external field. The resulting formalism expresses all cumulant averages of J(t) in an external field in terms of equilibrium cumulants.
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Jeppe C. Dyre (1989) studied this question.
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