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26 April 2024
 
  » arxiv » 0911.4254

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Pinning of interfaces in random media
Nicolas Dirr ; Patrick W. Dondl ; Michael Scheutzow ;
Date 22 Nov 2009
AbstractFor a model for the propagation of an interface in a time independent random medium, commonly referred to as Quenched Edwards-Wilkinson equation, we prove existence of a stationary positive supersolution at non-vanishing applied load. This leads to emergence of a rate independent hysteresis, even though the local evolution law is viscous (in particular, the velocity of the interface in the model is linear in the driving force).
Source arXiv, 0911.4254
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