Abstract
A “quasi-linear” regression formula is derived by an expansion around quasi-static equilibrium. It relates the relaxation of thermodynamic “forces” to the regression of correlations of thermodynamic “coordinates” in quasi-static equilibrium. Correlation functions and memory kernels can be introduced in almost complete analogy to linear response theory. A non-linear, non-Markovian kinetic equation is derived. The kinetic coefficients are given in terms of correlation functions of stochastic forces in quasi-static equilibrium similar to the linear theory.
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Communicated by R. Jost
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Brenig, W. Correlation functions for quasi-linear response theory. Commun.Math. Phys. 85, 7–13 (1982). https://doi.org/10.1007/BF02029129
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DOI: https://doi.org/10.1007/BF02029129