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
Citations
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Roughness and dynamics of proliferating cell fronts as a probe of cell–cell interactions
Guillaume Rapin,Nirvana Caballero,Iaroslav Gaponenko,Iaroslav Gaponenko,Benedikt Ziegler,Audrey Rawleigh,Ermanno Moriggi,Thierry Giamarchi,Steven A. Brown,Patrycja Paruch +9 more
TL;DR: In this paper, the effects of cell-cell interactions on the geometry and dynamics of these one-dimensional biological interfaces were explored using proliferating cell fronts as a model system, and two distinct scaling regimes of the steady state roughness of in-vitro propagating Rat1 fibroblast cell fronts, suggesting different hierarchies of interactions at subcell lengthscales and at a lengthscale of 2-10 cells.
Posted ContentDOI
Roughness and dynamics of proliferating cell fronts as a probe of cell-cell interactions
Guillaume Rapin,Nirvana Caballero,Iaroslav Gaponenko,Iaroslav Gaponenko,Benedikt Ziegler,A. Rawleight,Ermanno Moriggi,Thierry Giamarchi,Steven A. Brown,Patrycja Paruch +9 more
TL;DR: It is shown that the roughness of proliferating fronts of Rat1 fibroblasts is governed by two different hierarchies of interactions, with distinct behaviour at sub-cell and few-cell lengthscales.
Journal ArticleDOI
Finite-temperature crossovers in periodic disordered systems.
Laura Foini,Thierry Giamarchi +1 more
TL;DR: It is shown that the FRG predicts, in addition, the existence of a third length scale associated with the screening of the disorder by thermal fluctuations and discusses a protocol to observe it.
Journal ArticleDOI
Strength and length-scale of the interaction between domain walls and pinning disorder in thin ferromagnetic films
TL;DR: In this paper, the magnetic-field-driven motion of domain walls with different chiralities in thin ferromagnetic films made of Pt/Co/Pt, Au/Co /Pt and Pt /Co/Au was explored.
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Roughening of the anharmonic Larkin model.
TL;DR: The roughening of d-dimensional directed elastic interfaces subject to quenched random forces is studied, and it is shown that such d=1 case is directly related to a family of Brownian functionals parameterized by n, ranging from the random-acceleration model for n=1 to the Lévy arcsine-law problem for n =∞.
References
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