Disordered Elastic Systems and One-Dimensional Interfaces

TL;DR

This paper introduces the framework of Disordered Elastic Systems, focusing on one-dimensional interfaces with short-range elasticity and disorder, and discusses how temperature and interface width affect their static and dynamic properties.

Contribution

It provides a concise overview of DES modeling and analyzes the effects of finite temperature and interface width on one-dimensional interfaces with short-range interactions.

Findings

Finite temperature influences static geometrical fluctuations.

Finite interface width impacts quasistatic dynamics.

Interplay between temperature and width alters disorder-induced properties.

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 \xi>0 on the static geometrical fluctuations at different lengthscales, and the implications on the quasistatic dynamics.