Disordered elastic systems and one-dimensional interfaces
TLDR
In this paper, the authors introduce the generic framework of disordered elastic systems (DES), giving a short "recipe" of a DES modeling and presenting the quantities of interest in order to probe the static and dynamical disorder-induced properties of such systems.Abstract:
We briefly introduce the generic framework of disordered elastic systems (DES), giving a short ‘recipe’ of a DES modeling and presenting the quantities of interest in order to probe the static and dynamical disorder-induced properties of such systems. We then focus on a particular low-dimensional DES, namely the one-dimensional interface in short-ranged elasticity and short-ranged quenched disorder. Illustrating different elements given in the introductory sections, we discuss specifically the consequences of the interplay between a finite temperature T > 0 and a finite interface width ξ > 0 on the static geometrical fluctuations at different lengthscales, and the implications on the quasistatic dynamics.read more
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Encyclopedia of Complexity and Systems Science
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Numerical Approaches on Driven Elastic Interfaces in Random Media
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References
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Journal Article
Encyclopedia of Complexity and Systems Science
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Domain Wall Creep in Epitaxial Ferroelectric P b ( Z r 0.2 T i 0.8 ) O 3 Thin Films
TL;DR: The electric field dependence of the domain wall velocity demonstrates that domain wall motion in ferroelectric thin films is a creep process, with the critical exponent mu close to 1.The dimensionality of the films suggests that disorder is at the origin of the observed creep behavior.
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Elastic theory of flux lattices in the presence of weak disorder.
TL;DR: Qualitative arguments are given suggesting the existence for weak disorder in $d=3$ of a `` Bragg glass '' phase without free dislocations and with algebraically divergent Bragg peaks.
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Spin-glass theory for pedestrians
TL;DR: In this paper, the main theoretical concepts and techniques in the field of mean-field spin glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student.
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Creep and depinning in disordered media
TL;DR: In this paper, functional renormalization-group equations were derived to describe the depinning transition at zero temperature and a creep regime at finite temperature and slow drive f. Since they hold at finite velocity v, they allow to remedy some shortcomings of the previous approaches to zero-temperature depinning.