Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model

Details Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model

2007-09-20

arxiv.org/abs/0709.3220v2

Eur.Phys.J. B63:85-91,2008

Physics

Condensed Matter

Statistical Mechanics

Latex2e, 12 pages, 2 figures included, (final form)

Scientific paper

10.1140/epjb/e2008-00202-2

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 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) ~ t^0.5 .

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