Macroscopic response to microscopic intrinsic noise in three-dimensional fisher fronts

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dc.contributor.author Nesic, Svetozar
dc.contributor.author Cuerno, Rodolfo
dc.contributor.author Moro, Esteban
dc.date.accessioned 2019-07-12T07:42:59Z
dc.date.available 2019-07-12T07:42:59Z
dc.date.issued 2014-10-30
dc.identifier.bibliographicCitation Nesic, S., Cuerno R. y Moro, E. (2014). Macroscopic Response to Microscopic Intrinsic Noise in Three-Dimensional Fisher Fronts. Physical Review Letters, 113(18), 180602.
dc.identifier.issn 0031-9007
dc.identifier.uri http://hdl.handle.net/10016/28581
dc.description.abstract We study the dynamics of three-dimensional Fisher fronts in the presence of density fluctuations. To this end we simulate the Fisher equation subject to stochastic internal noise, and study how the front moves and roughens as a function of the number of particles in the system, N. Our results suggest that the macroscopic behavior of the system is driven by the microscopic dynamics at its leading edge where number fluctuations are dominated by rare events. Contrary to naive expectations, the strength of front fluctuations decays extremely slowly as 1/logN, inducing large-scale fluctuations which we find belong to the one-dimensional Kardar-Parisi-Zhang universality class of kinetically rough interfaces. Hence, we find that there is no weak-noise regime for Fisher fronts, even for realistic numbers of particles in macroscopic systems.
dc.description.sponsorship Partial support for this work has been provided by MINECO (Spain) Grants No. FIS2010-22047-C05-04 and No. FIS2012-38866-C05-01. S. N. acknowledges support by Universidad Carlos III de Madrid.
dc.format.extent 5
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © 2014 American Physical Society
dc.title Macroscopic response to microscopic intrinsic noise in three-dimensional fisher fronts
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1103/PhysRevLett.113.180602
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2010-22047-C05-04
dc.relation.projectID Gobierno de España. FIS2012-38866-C05-01
dc.type.version publishedVersion
dc.identifier.publicationissue 18
dc.identifier.publicationtitle Physical Review Letters
dc.identifier.publicationvolume 113
dc.identifier.uxxi AR/0000016113
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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