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

M. Ebbinghaus, H. Grandclaude and M. Henkel ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 63, issue 1, 85-91

Abstract: The non-equilibrium dynamics of the kinetic spherical model with a non-conserved order-parameter, quenched to T≤T c 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)∼t 1/2 . Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Keywords: 05.10.Gg Stochastic analysis methods (Fokker-Planck; Langevin; etc.); 05.70.Ln Nonequilibrium and irreversible thermodynamics; 64.60.Ht Dynamic critical phenomena (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1140/epjb/e2008-00202-2

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