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Absence of logarithmic scaling in the ageing behaviour of the four-dimensional spherical model
Ebbinghaus M., Grandclaude H., Henkel M.
Eur. Phys. J. B63 (2008) 85-91
DOI : 10.1140/epjb/e2008-00202-2
ArXiv : arxiv:0709.3220 [PDF]

The non-equilibrium dynamics of the kinetic spherical model, quenched to T<=T_c, with a non-conserved order-parameter 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 ration 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)~t^0.5



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