Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance

Abstract

The time-dependent scaling of the two-time autocorrelation function of spin systems without disorder undergoing phase-ordering kinetics is considered. Its form is shown to be determined by an extension of dynamical scaling to a local scale-invariance which turns out to be a new version of conformal invariance. The predicted autocorrelator is in agreement with Monte-Carlo data on the autocorrelation function of the 2D kinetic Ising model with Glauber dynamics quenched to a temperature below criticality.

Latex2e, 7 pages with 2 figures, with epl macro, final from, to appear in EPL

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• Aging in coarsening diluted ferromagnets
• Super-Aging in two-dimensional random ferromagnets
• Coarsening and Aging of Lattice Polymers: Influence of Bond Fluctuations
• Dynamical symmetries of semi-linear Schrödinger and diffusion equations
• Test of Local Scale Invariance from the direct measurement of the response function in the Ising model quenched to and to below $T_C$
• Ballistic Aggregation in Systems of Inelastic Particles: Cluster growth, structure and aging
• 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
• Domain growth and aging scaling in coarsening disordered systems
• Finite-Size Scaling Study of Aging during Coarsening in Non-Conserved Ising Model: The case of zero temperature quench
• From dynamical scaling to local scale-invariance: a tutorial
• Aging and Holography
• Phase-ordering kinetics in the Allen-Cahn (Model A) class: universal aspects elucidated by electrically-induced transition in liquid crystals
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
• Aging Phenomena during Phase Separation in Fluids: Decay of autocorrelation for vapor-liquid transitions
• Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?
• Logarithmic Exotic Conformal Galilean Algebras
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• Local aging phenomena close to magnetic surfaces
• Initial Correlation Dependence of Aging in Phase Separating Solid Binary Mixtures and Ordering Ferromagnets
• Coarsening in 3D Nonconserved Ising Model at Zero Temperature: Anomalies in structure and relaxation of order-parameter autocorrelation
• Lie symmetries of semi-linear Schrödinger equations and applications
• Correlators in phase-ordering from Schrödinger-invariance
• Aging following a zero-temperature quench in the $d=3$ Ising model
• Aging Exponents for Nonequilibrium Dynamics following Quenches from Critical Point
• Critical ageing correlators from Schrödinger-invariance
• Self-overlap as a method of analysis in Ising models
• Harnessing finite-size effects to gauge aging in the $2D$ Ising model