Critical dynamics and effective exponents of magnets with extended impurities
Abstract
We investigate the asymptotic and effective static and dynamic critical behavior of (d=3)-dimensional magnets with quenched extended defects, correlated in dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the remaining dimensions. The field-theoretical renormalization group perturbative expansions being evaluated naively do not allow for the reliable numerical data. We apply the Chisholm-Borel resummation technique to restore convergence of the two-loop expansions and report the numerical values of the asymptotic critical exponents for the model A dynamics. We discuss different scenarios for static and dynamic effective critical behavior and give values for corresponding non-universal exponents.
Keywords
Cite
@article{arxiv.cond-mat/0506644,
title = {Critical dynamics and effective exponents of magnets with extended impurities},
author = {V. Blavats'ka and M. Dudka and R. Folk and Yu. Holovatch},
journal= {arXiv preprint arXiv:cond-mat/0506644},
year = {2009}
}
Comments
12 pages, 6 figures