https://doi.org/10.1140/epjb/e2008-00202-2
Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model
1
Laboratoire de Physique des Matériaux (Laboratoire associé au CNRS UMR 7556.) , Université Henri Poincaré Nancy I, B.P. 239, F-54506 Vandœuvre-les-Nancy Cedex, France
2
Centro de Física Téorica e Computacional, Complexo Interdisciplinar da Universidade de Lisboa, Av. Prof. Gama Pinto 2, P-1649-003 Lisboa Codex, Portugal
Corresponding author: a henkel@lpm.u-nancy.fr
Received:
25
September
2007
Revised:
13
March
2008
Published online:
28
May
2008
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.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008