Nonequilibrium Dynamics of Interfaces and Lines
arXiv:cond-mat/9704172 · doi:10.1016/S0370-1573(98)00007-6
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.
36 pages, TeX, includes 10 eps figures. Lectures delivered at the The 4th CTP Workshop on Statistical Physics: ``Dynamics of Fluctuating Interfaces and Related Phenomena", Seoul National University, Korea
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- Phase Diagram of Optimal Paths
- Creep and thermal rounding close to the elastic depinning threshold
- Avalanche size distributions in mean field plastic yielding models
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- The yielding of amorphous solids at finite temperatures
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- Statistical properties of avalanches via the c-record process
- Large scale numerical simulations of "ultrametric" long-range depinning
- The Prandtl-Tomlinson model of friction with stochastic driving
- Seismic-like organization of avalanches in a driven long-range elastic string as a paradigm of brittle cracks
- Universal width distributions in non-Markovian Gaussian processes
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- Effect of disorder geometry on the critical force in disordered elastic systems
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