Abstract
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.
Highlights
In contrast to the linear case, the higher-order terms cannot be expressed in terms of equilibrium correlation functions of the degree of freedom under consideration
The degree of freedom of interest is denoted by Q; it may be microscopic or macroscopic
The underlying dynamics is assumed to be classical and Q is assumed to be invariant under time reversal
Summary
In contrast to the linear case, the higher-order terms cannot be expressed in terms of equilibrium correlation functions of the degree of freedom under consideration. The case of a time-independent external field will be con- J Equation (3) allows one to calculate all higher-order cumulant averages of in the external field, in terms of equilibrium cumulants.
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