English

Local aging phenomena close to magnetic surfaces

Statistical Mechanics 2009-11-13 v1

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 b1b_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.

Keywords

Cite

@article{arxiv.0708.2418,
  title  = {Local aging phenomena close to magnetic surfaces},
  author = {Florian Baumann and Michel Pleimling},
  journal= {arXiv preprint arXiv:0708.2418},
  year   = {2009}
}

Comments

16 pages, 3 figures, accepted for publication in Physical Review B

R2 v1 2026-06-21T09:08:26.226Z