Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation
| dc.contributor.author | Dondl, Patrick W. | |
| dc.contributor.author | Scheutzow, Michael | |
| dc.contributor.author | Throm, Sebastian | |
| dc.date.accessioned | 2017-10-27T13:07:46Z | |
| dc.date.available | 2017-10-27T13:07:46Z | |
| dc.date.issued | 2015 | |
| dc.description | Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich. | de |
| dc.description | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. | en |
| dc.description.abstract | For a model of a driven interface in an elastic medium with random obstacles we prove the 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 neighbour site percolation cluster at a non-trivial percolation threshold. | en |
| dc.identifier.eissn | 1473-7124 | |
| dc.identifier.issn | 0308-2105 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/7080 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-6389 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | |
| dc.title | Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation | en |
| dc.type | Article | |
| dc.type.version | publishedVersion | |
| dcterms.bibliographicCitation.doi | 10.1017/s0308210512001291 | |
| dcterms.bibliographicCitation.issue | 3 | |
| dcterms.bibliographicCitation.journaltitle | Proceedings of the Royal Society of Edinburgh: Section A Mathematics | |
| dcterms.bibliographicCitation.originalpublishername | Cambridge University Press | |
| dcterms.bibliographicCitation.originalpublisherplace | Cambridge | |
| dcterms.bibliographicCitation.pageend | 512 | |
| dcterms.bibliographicCitation.pagestart | 481 | |
| dcterms.bibliographicCitation.volume | 145 | |
| tub.accessrights.dnb | domain | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Stochastische Analysis | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.group | FG Stochastische Analysis | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin |
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