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

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

2002-03-20

arxiv.org/abs/cond-mat/0203411v3

J.Phys.A35:5575-5590,2002

Physics

Condensed Matter

Statistical Mechanics

Latex, 18pp, 2 figures (final version)

Scientific paper

10.1088/0305-4470/35/27/304

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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