English

Critical dynamics and effective exponents of magnets with extended impurities

Disordered Systems and Neural Networks 2009-11-11 v1

Abstract

We investigate the asymptotic and effective static and dynamic critical behavior of (d=3)-dimensional magnets with quenched extended defects, correlated in ϵd\epsilon_d dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the remaining dϵdd-\epsilon_d 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