Infinite pinning

Infinite pinning

In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random obstacles. We model their positions by a Poisson point process and...

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2022-04, Vol.54 (2), p.760-771
Hauptverfasser: Dondl, Patrick, Jesenko, Martin, Scheutzow, Michael
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Jesenko, Martin
Scheutzow, Michael
description In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random obstacles. We model their positions by a Poisson point process and their strengths are not bounded. We determine a necessary condition on its distribution so that regardless of the driving force the interface gets pinned.
doi_str_mv 10.1112/blms.12599
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