Nonequilibrium Dynamics of Interfaces and Lines

TL;DR

This paper explores the non-equilibrium behavior of interfaces and flux lines, emphasizing depinning phenomena, anisotropy effects, and the dynamics of lines with transverse fluctuations, highlighting universality classes across different physical systems.

Contribution

It provides a comprehensive analysis of depinning and dynamic roughening, illustrating how non-linearities and anisotropy influence universality classes in interface and line dynamics.

Findings

Different universality classes identified for depinning phenomena

Role of anisotropy in determining interface behavior

Non-linear dynamics of driven flux lines and crack fronts

Abstract

The lectures examine several problems related to non-equilibrium fluctuations of interfaces and flux lines. The first two introduce the phenomenology of depinning, with particular emphasis on interfaces and contact lines. The role of the anisotropy of the medium in producing different universality classes is elucidated. The last two lectures focus on the dynamics of lines, where transverse fluctuations are also important. We shall demonstrate how various non-linearities appear in the dynamics of driven flux lines. The universality classes of depinning, and also dynamic roughening, are illustrated in the contexts of moving flux lines, advancing crack fronts, and drifting polymers.