Publication: Kardar-Parisi-Zhang universality in first-passage percolation: the role of geodesic degeneracy
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC) | es |
dc.contributor.author | Cordoba Torres, Pedro | |
dc.contributor.author | Santalla, Silvia N. | |
dc.contributor.author | Cuerno, Rodolfo | |
dc.contributor.author | Rodríguez Laguna, Javier | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.date.accessioned | 2019-10-15T10:49:19Z | |
dc.date.available | 2019-10-15T10:49:19Z | |
dc.date.issued | 2018-06-26 | |
dc.description.abstract | We have characterized the scaling behavior of the first-passage percolation (FPP) model on two types of discrete networks, the regular square lattice and the disordered Delaunay lattice, thereby addressing the effect of the underlying topology. Several distribution functions for the link-times were considered. The asymptotic behavior of the fluctuations for both the minimal arrival time and the lateral deviation of the geodesic path are in perfect agreement with the Kardar-Parisi-Zhang (KPZ) universality class regardless of the type of the link-time distribution and of the lattice topology. Pre-asymptotic behavior, on the other hand, is found to depend on the uniqueness of geodesics in absence of disorder in the local crossing times, a topological property of lattice directions that we term geodesic degeneracy. This property has important consequences on the model, as for example the well-known anisotropic growth in regular lattices. In this work we provide a framework to understand its effect as well as to characterize its extent. | en |
dc.description.sponsorship | We acknowledge fruitful conversations with E. Korutcheva. This work has been supported by MINECO/FEDER (Spain/EU) grants FIS2015-66020-C2-1-P and FIS2015-69167-C2-1-P. | en |
dc.format.extent | 14 | |
dc.identifier.bibliographicCitation | Córdoba-Torres, P., Santalla, S.N., Cuerno, R. y Rodríguez-Laguna, J. (2018). Kardar-Parisi-Zhang Universality in First-Passage Percolation: the Role of Geodesic Degeneracy. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018(063212) | en |
dc.identifier.doi | https://doi.org/10.1088/1742-5468/aac745 | |
dc.identifier.issn | 1742-5468 | |
dc.identifier.publicationtitle | Journal of Statistical Mechanics: Theory and Experiment | en |
dc.identifier.publicationvolume | 2018 (063212) | |
dc.identifier.uri | https://hdl.handle.net/10016/29028 | |
dc.identifier.uxxi | AR/0000021675 | |
dc.language.iso | eng | en |
dc.publisher | IOP Publishing | en |
dc.relation.projectID | Gobierno de España. FIS2015-66020-C2-1-P | es |
dc.relation.projectID | Gobierno de España. FIS2015-69167-C2-1-P | es |
dc.rights | © 2018 IOP Publishing Ltd and SISSA Medialab srl. | en |
dc.rights.accessRights | open access | en |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Percolation problems | en |
dc.subject.other | Fluctuation phenomena | en |
dc.subject.other | Interfaces in random media | en |
dc.subject.other | Self-affine roughness | en |
dc.title | Kardar-Parisi-Zhang universality in first-passage percolation: the role of geodesic degeneracy | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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