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Elementary constraints on autocorrelation function scalings

Jorge Kurchan
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Abstract

Elementary algebraic constraints on the form of an autocorrelation function C(tw+t,tw)= rule out some two-time scalings found in the literature as possible long-time asymptotic forms. The same argument leads to the realization that two usual definitions of {\em many-time scale} relaxation for aging systems are not equivalent.

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Jorge Kurchan. 2002-03-27. Elementary constraints on autocorrelation function scalings. https://doi.org/10.1103/physreve.66.017101

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