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

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

2005-09-02

arxiv.org/abs/cond-mat/0509064v1

J. Phys. A39, 1981-1999 (2006)

Physics

Condensed Matter

Statistical Mechanics

22 pages, 4 figures included, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/39/9/001

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.

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