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Response of non-equilibrium systems with long-range initial correlations

Alan Picone·Malte Henkel
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Abstract

The long-time dynamics of the $d$-dimensional spherical model with a non-conserved order parameter and quenched from an initial state with long-range correlations is studied through the exact calculation of the two-time autocorrelation and autoresponse functions. In the aging regime, these are given in terms of non-trivial universal scaling functions of both time variables. At criticality, five distinct types of aging are found, depending on the form of the initial correlations, while at low temperatures only a single type of aging exists. The autocorrelation and autoreponse exponents are shown to be generically different and to depend on the initial conditions. The scaling form of the two-time response functions agrees with a recent prediction coming from local scale invariance.

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Alan Picone, Malte Henkel. 2002-05-29. Response of non-equilibrium systems with long-range initial correlations. https://doi.org/10.1088/0305-4470%2F35%2F27%2F304

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