Critical slowing down in random anisotropy magnets

Details Critical slowing down in random anisotropy magnets Critical slowing down in random anisotropy magnets

2005-07-11

arxiv.org/abs/cond-mat/0507241v1

Condens. Matter Phys. 8 (2005) 737-748

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 4 figures, style file included

Scientific paper

We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis. For the random axis anisotropic distribution, the static asymptotic critical behaviour coincides with that of random site Ising systems. Therefore the asymptotic critical dynamics is governed by the dynamical exponent of the random Ising model. However, the disorder influences considerably the dynamical behaviour in the non-asymptotic regime. We perform a field-theoretical renormalization group analysis within the minimal subtraction scheme in two-loop approximation to investigate asymptotic and effective critical dynamics of random anisotropy systems. The results demonstrate the non-monotonic behaviour of the dynamical effective critical exponent $z_{\rm eff}$.

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