Elementary constraints on autocorrelation function scalings
Statistical Mechanics
2009-11-07 v2
Abstract
Elementary algebraic constraints on the form of an autocorrelation function C(tw+t,tw)=<A(tw+t)A(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.
Cite
@article{arxiv.cond-mat/0110628,
title = {Elementary constraints on autocorrelation function scalings},
author = {Jorge Kurchan},
journal= {arXiv preprint arXiv:cond-mat/0110628},
year = {2009}
}