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23 October 2019
 
  » arxiv » cond-mat/0111158

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Weak quenched disorder and criticality: resummation of asymptotic(?) series
Yu. Holovatch ; V. Blavats’ka ; M. Dudka ; C. von Ferber ; R. Folk ; T. Yavors’kii ;
Date 9 Nov 2001
Journal Int. J. Mod. Phys. B 16 (2002) 4027-4079
Subject Disordered Systems and Neural Networks; Soft Condensed Matter | cond-mat.dis-nn cond-mat.soft
AbstractIn these lectures, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of available experimental and theoretical results as well as results of MC simulations of these phenomena. We concentrate on three cases: (i) uncorrelated random-site disorder, (ii) long-range-correlated random-site disorder, and (iii) random anisotropy. Today, the standard analytical description of critical behavior is given by renormalization group results refined by resummation of the perturbation theory series. The convergence properties of the series are unknown for most disordered models. The main object of these lectures is to discuss the peculiarities of the application of resummation techniques to perturbation theory series of disordered models.
Source arXiv, cond-mat/0111158
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