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Scaling in kth-passage percolation

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dc.contributor.authorGómez Donoso, Miguel
dc.contributor.directorRodríguez Laguna, Javier
dc.contributor.directorCórdoba Torres, Pedro
dc.date.accessioned2024-05-20T12:41:44Z
dc.date.available2024-05-20T12:41:44Z
dc.date.issued2021-07-13
dc.description.abstractThe kth-passage percolation model is proposed as a generalization of the first-passage percolation model. Specific samples of k shortest simple paths in random square lattices are analyzed, revealing a potentially ultrametric structure in the overlaps between paths. The average scaling behaviour of the arrival time and its fluctuations is calculated, providing evidence that the usual Kardar–Parisi– Zhang universality class for interface growth is attained after a pre-asymptotic regime whose extent increases with k.en
dc.description.versionversión final
dc.identifier.urihttps://hdl.handle.net/20.500.14468/14746
dc.language.isoen
dc.publisherUniversidad Nacional de Educación a Distancia (España). Facultad de Ciencias. Departamento de Física Fundamental
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.degreeMáster universitario en Física de Sistemas Complejos
dc.relation.departmentFísica Fundamental
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject.keywordspercolation problems
dc.subject.keywordsfluctuation phenomena
dc.subject.keywordsinterfaces in random media
dc.titleScaling in kth-passage percolationes
dc.typetesis de maestríaes
dc.typemaster thesisen
dspace.entity.typePublication
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