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

Abstract

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 .

arXiv commentLatex2e, 12 pages, 2 figures included, (final form)

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• Quantum aging and dynamical universality in the long-range $O(N\to \infty )$ model
• Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?
• Asymmetric Langevin dynamics for the ferromagnetic spherical model
• Non-markovian global persistence in phase-ordering kinetics
• Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model
• Schrödinger-invariance in the voter model