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dc.contributor.authorBakalis, E.en
dc.contributor.authorVlahos, C.en
dc.contributor.authorKosmas, M.en
dc.date.accessioned2015-11-24T16:56:14Z-
dc.date.available2015-11-24T16:56:14Z-
dc.identifier.issn0378-4371-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10406-
dc.rightsDefault Licence-
dc.subjectdiffusionen
dc.subjectgaussian modelen
dc.subjectdiscrete modelen
dc.subjectdimensionalityen
dc.subjectinteracting poleen
dc.subjectfunction perturbationen
dc.subjectdisordered mediaen
dc.subjectpolymer-chainen
dc.subjectrandom-walksen
dc.subjectmechanismsen
dc.subjectscatteringen
dc.subjectpropagatoren
dc.subjectalgorithmen
dc.titleDiffusion in the presence of a pole: From the continuous Gaussian to a discrete lattice modelen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1016/j.physa.2005.05.088-
heal.identifier.secondary<Go to ISI>://000233479900001-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0378437105004851/1-s2.0-S0378437105004851-main.pdf?_tid=e4a3deda-349a-11e3-b4d3-00000aab0f02&acdnat=1381732741_f5a03a7a4b1568c627c11bd0a2db98f8-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείαςel
heal.publicationDate2006-
heal.abstractThe continuous Gaussian model with delta function potentials which has been used to describe the effects that interacting centers (poles) bring to the diffusion of a random walker, provides an exact solution only in dimension d = 1. Its application in dimension d >= 2 is in need of introduction of cutoffs coming from the finite sizes of poles. We therefore formulate an analogous discrete model in the d-dimensional lattice space where no cutoffs or their regularization are necessary. The discrete model is amenable to numerical treatment and the Green's function, its first moments and properties derived from them can be determined numerically to all dimensionalities. In the one-dimensional (I-D) case, in the presence of a single center.. the outcomes of the Gaussian model are compared, with the corresponding results of the discrete lattice model. The possibility of extension of the lattice model to higher dimension permits the study of the two-dimensional (2-D) case too. The intensities of interactions considered before to obtain positive values are extended to negative values in order to describe attractions also. (c) 2005 Elsevier B.V. All rights reserved.en
heal.publisherElsevieren
heal.journalNamePhysica a-Statistical Mechanics and Its Applicationsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΧΗΜ

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