Out-of-equilibrium properties of the semi-infinite kinetic spherical model

Abstract

We study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation ratio and the scaling functions of two-time surface correlation and response functions are determined explicitly in the dynamical scaling regime. In the low-temperature phase our results show that for the case of Dirichlet boundary conditions the value of the non-equilibrium surface exponent $b_1$ differs from the usual bulk value of systems undergoing phase ordering.

arXiv comment22 pages, 4 figures included, submitted to J. Phys. A

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• Spherical model of growing interfaces
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• Physical ageing from generalised time-translation-invariance
• Asymmetric Langevin dynamics for the ferromagnetic spherical model
• Equilibrium and non-equilibrium properties of synthetic metamagnetic films: A Monte Carlo study
• Local aging phenomena close to magnetic surfaces