The Pinning Paths of an Elastic Interface

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dc.creatorMakse, Hernan A.
dc.creatorBuldyrev, Sergey
dc.creatorLeschhorn, Heiko
dc.creatorStanley, H. Eugene
dc.date1996-08-07
dc.date.accessioned2026-07-07T03:08:48Z
dc.date.available2026-07-07T03:08:48Z
dc.descriptionWe introduce a model describing the paths that pin an elastic interface moving in a disordered medium. We find that the scaling properties of these ``elastic pinning paths'' (EPP) are different from paths embedded on a directed percolation cluster, which are known to pin the interface of the ``directed percolation depinning'' class of surface growth models. The EPP are characterized by a roughness exponent $α=1.25$, intermediate between that of the free inertial process ($α=3/2$) and the diode-resistor problem on a Cayley tree ($α=1$). We also calculate numerically the mean cluster size and the cluster size distribution for the EPP.
dc.descriptionRevtex, 4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9608033
dc.identifierhttp://arxiv.org/abs/cond-mat/9608033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27640
dc.subjectCondensed Matter
dc.titleThe Pinning Paths of an Elastic Interface
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