Roughening of the (1+1) interfaces in two-component surface growth with an admixture of random deposition

Simple item page
dc.creatorKolakowska, A.
dc.creatorNovotny, M. A.
dc.creatorVerma, P. S.
dc.date2004-03-13
dc.date2004-07-09
dc.date.accessioned2026-07-07T12:35:51Z
dc.date.available2026-07-07T12:35:51Z
dc.descriptionWe simulate competitive two-component growth on a one dimensional substrate of $L$ sites. One component is a Poisson-type deposition that generates Kardar-Parisi-Zhang (KPZ) correlations. The other is random deposition (RD). We derive the universal scaling function of the interface width for this model and show that the RD admixture acts as a dilatation mechanism to the fundamental time and height scales, but leaves the KPZ correlations intact. This observation is generalized to other growth models. It is shown that the flat-substrate initial condition is responsible for the existence of an early non-scaling phase in the interface evolution. The length of this initial phase is a non-universal parameter, but its presence is universal. In application to parallel and distributed computations, the important consequence of the derived scaling is the existence of the upper bound for the desynchronization in a conservative update algorithm for parallel discrete-event simulations. It is shown that such algorithms are generally scalable in a ring communication topology.
dc.description16 pages, 16 figures, 77 references
dc.identifierhttps://arxiv.org/abs/cond-mat/0403341
dc.identifierhttp://arxiv.org/abs/cond-mat/0403341
dc.identifierPhys. Rev. E, Vol.70, 051602 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.051602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217902
dc.subjectMaterials Science
dc.subjectDistributed, Parallel, and Cluster Computing
dc.subjectOther Computer Science
dc.subjectComputational Physics
dc.titleRoughening of the (1+1) interfaces in two-component surface growth with an admixture of random deposition
dc.typetext

Files

Collections

arXiv