Aging phenomena in critical semi-infinite systems

Abstract

Nonequilibrium surface autocorrelation and autoresponse functions are studied numerically in semi-infinite critical systems in the dynamical scaling regime. Dynamical critical behaviour is examined for a nonconserved order parameter in semi-infinite two- and three-dimensional Ising models as well as in the Hilhorst-van Leeuwen model. The latter model permits a systematic study of surface aging phenomena, as the surface critical exponents change continuously as function of a model parameter. The scaling behaviour of surface two-time quantities is investigated and scaling functions are confronted with predictions coming from the theory of local scale invariance. Furthermore, surface fluctuation-dissipation ratios are computed and their asymptotic values are shown to depend on the values of surface critical exponents.

12 pages, figures included, version to appear in Phys. Rev. B

References in corpus (7)

• Critical phenomena at perfect and non-perfect surfaces
• Local scale-invariance and ageing in noisy systems
• Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
• Off equilibrium dynamics in the 3d-XY system
• Scaling of the linear response in simple ageing systems without disorder
• Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
• On universality in aging ferromagnets

Cited by in corpus (24)

• Ageing Properties of Critical Systems
• Universal non-equilibrium properties of dissipative Rydberg gases
• Surface criticality at a dynamic phase transition
• Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance
• Ageing in disordered magnets and local scale-invariance
• Relaxation phenomena at criticality
• Critical aging of Ising ferromagnets relaxing from an ordered state
• Ageing phenomena without detailed balance: the contact process
• Ageing in the critical contact process: a Monte Carlo study
• Surface phase diagram of the three-dimensional kinetic Ising model in an oscillating magnetic field
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Ageing and dynamical scaling in the critical Ising spin glass
• Nonequilibrium critical dynamics in inhomogeneous systems
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Out-of-equilibrium properties of the semi-infinite kinetic spherical model
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
• Surface-induced non-equilibrium dynamics and critical Casimir forces for model B in film geometry
• Formation of nonequilibrium modulated phases under local energy input
• Equilibrium and non-equilibrium properties of synthetic metamagnetic films: A Monte Carlo study
• Collective non-equilibrium dynamics at surfaces and the spatio-temporal edge
• Local aging phenomena close to magnetic surfaces
• Aging phenomena in the two-dimensional complex Ginzburg-Landau equation
• Critical relaxation and the combined effects of spatial and temporal boundaries
• Self-overlap as a method of analysis in Ising models