Out-of-equilibrium critical dynamics at surfaces: Cluster dissolution and non-algebraic correlations

Abstract

We study nonequilibrium dynamical properties at a free surface after the system is quenched from the high-temperature phase into the critical point. We show that if the spatial surface correlations decay sufficiently rapidly the surface magnetization and/or the surface manifold autocorrelations has a qualitatively different universal short time behavior than the same quantities in the bulk. At a free surface cluster dissolution may take place instead of domain growth yielding stationary dynamical correlations that decay in a stretched exponential form. This phenomenon takes place in the three-dimensional Ising model and should be observable in real ferromagnets.

arXiv comment4 pages, 4 figures

References in corpus (7)

• Theory of Phase Ordering Kinetics
• Nonequilibrium critical dynamics of ferromagnetic spin systems
• Inhomogeneous Systems with Unusual Critical Behaviour
• Universal Short-Time Behavior in Critical Dynamics near Surfaces
• Persistence of Manifolds in Nonequilibrium Critical Dynamics
• Non-equilibrium Dynamics Following a Quench to the Critical Point in a Semi-infinite System
• Helicase on DNA: A Phase coexistence based mechanism

Cited by in corpus (15)

• Ageing Properties of Critical Systems
• Surface criticality at a dynamic phase transition
• Ageing phenomena without detailed balance: the contact process
• Aging phenomena in critical semi-infinite systems
• Ageing in the critical contact process: a Monte Carlo study
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Persistence and dynamics in ANNNI chain
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• An alternative order parameter for the 4-state Potts model
• Nonequilibrium critical dynamics with domain wall and surface
• Nonequilibrium critical dynamics in inhomogeneous systems
• Out-of-equilibrium properties of the semi-infinite kinetic spherical model
• Short-time critical dynamics at perfect and non-perfect surface
• Formation of nonequilibrium modulated phases under local energy input
• Dynamic crossover in the persistence probability of manifolds at criticality