Abstract.
The non-equilibrium dynamics of the kinetic spherical model with a non-conserved order-parameter, quenched to T≤Tc from a fully disordered initial state, is studied at its upper critical dimension d=d*=4. In the scaling limit where both the waiting time s and the observation time t are large and the ratio y=t/s>1 is fixed, the scaling functions of the two-time autocorrelation and autoresponse functions do not contain any logarithmic correction factors and the typical size of correlated domains scales for large times as L(t)∼t1/2.
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Ebbinghaus, M., Grandclaude, H. & Henkel, M. Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model. Eur. Phys. J. B 63, 85–91 (2008). https://doi.org/10.1140/epjb/e2008-00202-2
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DOI: https://doi.org/10.1140/epjb/e2008-00202-2