Aging phenomena in critical semi-infinite systems
Abstract
Nonequilibrium surface autocorrelation and autoresponse functions are studied numerically in semi-infinite critical systems in the dynamical scaling regime. Dynamical critical behaviour is examined for a nonconserved order parameter in semi-infinite two- and three-dimensional Ising models as well as in the Hilhorst-van Leeuwen model. The latter model permits a systematic study of surface aging phenomena, as the surface critical exponents change continuously as function of a model parameter. The scaling behaviour of surface two-time quantities is investigated and scaling functions are confronted with predictions coming from the theory of local scale invariance. Furthermore, surface fluctuation-dissipation ratios are computed and their asymptotic values are shown to depend on the values of surface critical exponents.
Cite
@article{arxiv.cond-mat/0404203,
title = {Aging phenomena in critical semi-infinite systems},
author = {Michel Pleimling},
journal= {arXiv preprint arXiv:cond-mat/0404203},
year = {2009}
}
Comments
12 pages, figures included, version to appear in Phys. Rev. B