Non-equilibrium Dynamics Following a Quench to the Critical Point in a Semi-infinite System

Abstract

We study the non-equilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the surface of a semi-infinite system decays algebraically in time with a new exponent which is different from the bulk. We calculate this new non-equilibrium surface exponent in several cases, both analytically and numerically.

revtex, 9 pages, 2 figures available from the authors

References in corpus (5)

• Theory of Phase Ordering Kinetics
• Inhomogeneous Systems with Unusual Critical Behaviour
• Exact Exponent $\lambda$ of the Autocorrelation Function for a Soluble Model of Coarsening
• Universal Short-Time Behavior in Critical Dynamics near Surfaces
• Phase Ordering of 2D XY Systems Below T_{KT}

Cited by in corpus (15)

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• Critical phenomena at perfect and non-perfect surfaces
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• Out-of-equilibrium critical dynamics at surfaces: Cluster dissolution and non-algebraic correlations
• Nonequilibrium critical dynamics in inhomogeneous systems
• Out-of-equilibrium properties of the semi-infinite kinetic spherical model
• Microscopic Non-Universality versus Macroscopic Universality in Algorithms for Critical Dynamics
• Surface-induced non-equilibrium dynamics and critical Casimir forces for model B in film geometry
• Equilibrium and non-equilibrium properties of synthetic metamagnetic films: A Monte Carlo study
• Collective non-equilibrium dynamics at surfaces and the spatio-temporal edge
• Non-markovian global persistence in phase-ordering kinetics
• Local aging phenomena close to magnetic surfaces
• Critical relaxation and the combined effects of spatial and temporal boundaries