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 ${\epsilon }_d$ dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the remaining $d-{\epsilon }_d$ 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.

12 pages, 6 figures

References in corpus (5)

• Smeared phase transition in a three-dimensional Ising model with planar defects: Monte-Carlo simulations
• Effective critical behaviour of diluted Heisenberg-like magnets
• Universality classes of three-dimensional $mn$-vector model
• Nonequilibrium critical relaxation in the presence of extended defects
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