The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance

Abstract

Motivated by recent numerical findings [M. Henkel, T. Enss, and M. Pleimling, J. Phys. A: Math. Gen. 39 (2006) L589] we re-examine via Monte Carlo simulations the linear response function of the two-dimensional Ising model with Glauber dynamics quenched to the critical point. At variance with the results of Henkel et al., we detect discrepancies between the actual scaling behavior of the response function and the prediction of Local Scale Invariance. Such differences are clearly visible in the impulse autoresponse function, whereas they are drastically reduced in integrated response functions. Accordingly, the scaling form predicted on the basis of Local Scale Invariance simply provides an accurate fitting form for some quantities but cannot be considered to be exact.

25 pages, 4 figures

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Cited by in corpus (6)

• Fluctuation-dissipation relations and field-free algorithms for the computation of response functions
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses
• The role of initial state and final quench temperature on the aging properties in phase-ordering kinetics
• Fluctuations and effective temperatures in coarsening
• Non-equilibrium critical properties of the Ising model on product graphs