Nonequilibrium critical dynamics in inhomogeneous systems

Abstract

We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and quenched into the critical point. Using Monte Carlo simulations we measure single spin relaxation and autocorrelations, as well as manifold autocorrelations and persistence. We show that, depending on the decay of critical static correlations, the short time dynamics can be of two kinds. For slow decay of local correlations the usual domain growth process takes place with non-stationary and algebraic dynamical correlations. If, however, the local correlations decay sufficiently rapidly we have the so called cluster dissolution scenario, in which case short time dynamical correlations are stationary and have a universal stretched exponential form. This latter phenomenon takes place in the surface of the three-dimensional Ising model and should be observable in real ferromagnets.

13 pages, version to appear in Phys. Rev. B

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Cited by in corpus (12)

• Ageing Properties of Critical Systems
• Surface criticality at a dynamic phase transition
• Supersymmetric extensions of Schrödinger-invariance
• Local Persistence in the Directed Percolation Universality Class
• An alternative order parameter for the 4-state Potts model
• Nonequilibrium critical dynamics with domain wall and surface
• Short-time critical dynamics at perfect and non-perfect surface
• Formation of nonequilibrium modulated phases under local energy input
• Three-dimensional non-equilibrium Potts systems with magnetic friction
• Non-markovian global persistence in phase-ordering kinetics
• Diffusive Persistence on Disordered Lattices and Random Networks
• Dynamic crossover in the persistence probability of manifolds at criticality