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arXiv · 0708.2418

Local aging phenomena close to magnetic surfaces

Florian Baumann·Michel Pleimling
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Abstract

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large dimensions, we also present results of an extensive numerical study of the nonequilibrium dynamical behavior of the two-dimensional semi-infinite Ising model undergoing coarsening. The studied models reveal a simple aging behavior where some of the nonequilibrium surface exponents take on values that differ from their bulk counterparts. For the two-dimensional semi-infinite Ising model we find that the exponent $b_1$, that describes the scaling behavior of the surface autocorrelation, vanishes. These simulations also reveal the existence of strong finite-time corrections that to some extent mask the leading scaling behavior of the studied two-time quantities.

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Florian Baumann, Michel Pleimling. 2007-08-17. Local aging phenomena close to magnetic surfaces. https://doi.org/10.1103/physrevb.76.104422

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