Local aging phenomena close to magnetic surfaces

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American Physical Society

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. In addition to 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.

phase-ordering kinetics, fluctuation-dissipation theorem, nonequilibrium, dynamics, critical-behavior, scale-invariance, critical-point, systems, model, autocorrelations, parameter, physics, condensed matter
Baumann, F.; Pleimling, M., "Local aging phenomena close to magnetic surfaces," Phys. Rev. B 76, 104422 DOI: http://dx.doi.org/10.1103/PhysRevB.76.104422