Slow decorrelations in KPZ growth

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dc.creatorFerrari, Patrik L.
dc.date2008-06-08
dc.date2008-06-30
dc.date.accessioned2026-07-07T10:14:16Z
dc.date.available2026-07-07T10:14:16Z
dc.descriptionFor stochastic growth models in the Kardar-Parisi-Zhang (KPZ) class in 1+1 dimensions, fluctuations grow as t^{1/3} during time t and the correlation length at a fixed time scales as t^{2/3}. In this note we discuss the scale of time correlations. For a representant of the KPZ class, the polynuclear growth model, we show that the space-time is non-trivially fibred, having slow directions with decorrelation exponent equal to 1 instead of the usual 2/3. These directions are the characteristic curves of the PDE associated to the surface's slope. As a consequence, previously proven results for space-like paths will hold in the whole space-time except along the slow curves.
dc.description22 pages, 9 figures, LaTeX; Minor language revisions
dc.identifierhttps://arxiv.org/abs/0806.1350
dc.identifierhttp://arxiv.org/abs/0806.1350
dc.identifierJ. Stat. Mech. (2008), P07022
dc.identifierdoi:10.1088/1742-5468/2008/07/P07022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172825
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.subject82C22, 60K35
dc.titleSlow decorrelations in KPZ growth
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