Pinning of interfaces in random media

DOI10.4171/IFB/265zbMath1231.35323arXiv0911.4254MaRDI QIDQ651814

Patrick W. Dondl, Nicolas Dirr, Michael K. R. Scheutzow

Publication date: 19 December 2011

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4254

zbMATH Keywords

random environmentphase boundariespinningquenched Edwards-Wilkinson

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (12)

A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles ⋮ Interfaces determined by capillarity and gravity in a two-dimensional porous medium ⋮ Bounds on precipitate hardening of line and surface defects in solids ⋮ Pinning of interfaces by localized dry friction ⋮ Infinite pinning ⋮ Geometry of Lipschitz percolation ⋮ The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media ⋮ Lattice embeddings in percolation ⋮ Pinning of interfaces in a random medium with zero mean ⋮ Threshold phenomenon for homogenized fronts in random elastic media ⋮ Interface motion in random media ⋮ Polluted bootstrap percolation with threshold two in all dimensions

Cites Work

• Geometry of Lipschitz percolation
• Lipschitz percolation
• A discussion about the homogenization of moving interfaces
• Effective motion of a curvature-sensitive interface through a heterogeneous medium
• Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients
• Pinning and de-pinning phenomena in front propagation in heterogeneous media
• Pulsating wave for mean curvature flow in inhomogeneous medium

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