Response of nonequilibrium systems with long range initial correlations

Mar, 2002
17 pages
Published in:
  • J.Phys.A 35 (2002) 5575-5590
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Abstract: (arXiv)
The long-time dynamics of the dd-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.
Note:
  • Latex, 18pp, 2 figures (final version) Subj-class: Statistical Mechanics: Soft Condensed Matter: Mathematical Physics Journal-ref: J. Phys. A35, 5575-5590 (2002)