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- W4297197812 abstract "For a model of a driven interface in an elastic medium with random obstacles we prove existence of a stationary positive supersolution at non-vanishing driving force. This shows the emergence of a rate independent hysteresis through the interaction of the interface with the obstacles, despite a linear (force=velocity) microscopic kinetic relation. We also prove a percolation result, namely the possibility to embed the graph of an only logarithmically growing function in a next-nearest neighbor site-percolation cluster at a non-trivial percolation threshold." @default.
- W4297197812 created "2022-09-27" @default.
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- W4297197812 date "2012-01-23" @default.
- W4297197812 modified "2023-09-23" @default.
- W4297197812 title "Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation" @default.
- W4297197812 doi "https://doi.org/10.48550/arxiv.1201.4836" @default.
- W4297197812 hasPublicationYear "2012" @default.
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