Corrections to local scale invariance in the non-equilibrium dynamics of critical systems: numerical evidences

Abstract

Local scale invariance (LSI) has been recently proposed as a possible extension of the dynamical scaling in systems at the critical point and during phase ordering. LSI has been applied inter alia to provide predictions for the scaling properties of the response function of non-equilibrium critical systems in the aging regime following a quench from the high-temperature phase to the critical point. These predictions have been confirmed by Monte Carlo simulations and analytical results for some specific models, but they are in disagreement with field-theoretical predictions. By means of Monte Carlo simulations of the critical two- and three-dimensional Ising model with Glauber dynamics, we study the intermediate integrated response, finding deviations from the corresponding LSI predictions that are in qualitative agreement with the field-theoretical computations. This result casts some doubts on the general applicability of LSI to critical dynamics.

4 pages, 2 figures, minor changes, version to appear in Phys. Rev. B as a Rapid Communication

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Cited by in corpus (22)

• Symmetry based determination of space-time functions in nonequilibrium growth processes
• Critical aging of Ising ferromagnets relaxing from an ordered state
• On the identification of quasiprimary scaling operators in local scale-invariance
• Critical aging of a ferromagnetic system from a completely ordered state
• Test of Local Scale Invariance from the direct measurement of the response function in the Ising model quenched to and to below $T_C$
• Local scale-invariances in the bosonic contact and pair-contact processes
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Ageing in the contact process: Scaling behavior and universal features
• Characterisation of non-equilibrium growth through global two-time quantities
• From dynamical scaling to local scale-invariance: a tutorial
• Nonequilibrium critical dynamics with domain wall and surface
• Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Is local scale invariance a generic property of ageing phenomena ?
• Out-of-equilibrium properties of the semi-infinite kinetic spherical model
• Fluctuations and effective temperatures in coarsening
• Physical ageing from generalised time-translation-invariance
• The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
• Reply to "Comment on 'Scaling of the linear response in simple ageing systems without disorder' "
• Dynamical response function of the disordered kinetic Ising model
• On the predictive power of Local Scale Invariance
• Dynamic critical properties of non-equilibrium Potts models with absorbing states