Critical dynamics and effective exponents of magnets with extended impurities

2005/06/24 by Viktoria Blavatska, V. Blavats'ka, M. Dudka +3
Mathematics · Physics and Astronomy · #Magnetic properties of thin films #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.72.064417

published as Phys. Rev. B 72, 064417 (2005) · 12 pages, 6 figures

arxiv created 2005/06/24 · openalex publication_date 2005/08/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

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

Citations

• Renormalization-Group Approach to the Critical Behavior of Random-Spin Models
• Theory of dynamic critical phenomena
• Effective critical and tricritical exponents
• Critical exponents of theN-vector model
• Effect of random defects on the critical behaviour of Ising models