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Aging, phase ordering and conformal invariance

Malte Henkel·Michel Pleimling·Claude Godreche·Jean-Marc Luck
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Abstract

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the scaling function $f$. This quantitative prediction is confirmed in several spin systems, both for $T<T_c$ (phase ordering) and $T=T_c$ (non-equilibrium critical dynamics). The 2D and 3D Ising models with Glauber dynamics are studied numerically, while exact results are available for the spherical model with a non-conserved order parameter, both for short-ranged and long-ranged interactions, as well as for the mean-field spherical spin glass.

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Malte Henkel, Michel Pleimling, Claude Godreche, Jean-Marc Luck. 2001-11-05. Aging, phase ordering and conformal invariance. https://doi.org/10.1103/physrevlett.87.265701

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