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Translational and rotational Brownian displacements of colloidal particles of complex shapes

dc.abstract.enThe exact analytical expressions forthe time-dependent cross-correlationsof the translational and rotational Brownian displacements of a particle with arbi-trary shape were derived by us in [3, 4]. They are in this work applied to constructa method to analyze the Brownian motion of a particle of an arbitrary shape, andto extract accurately the self-diffusion matrix from the measurements of the cross-correlations, which in turn allows to gain some information on the particle structure.As an example, we apply our new method to analyze the experimental results ofD. J. Kraftet al.for the micrometer-sized aggregates of the beads [8]. We explicitlydemonstrate that our procedure, based on the measurements ofthe time-dependentcross-correlations in the whole range of times, allows to determine the self-diffusion(or alternatively the friction matrix) with a much higher precision than the methodbased only on their initial slopes. Therefore, the analytical time-dependence of thecross-correlations serves as a useful tool to extract information about particle struc-ture from trajectory measurements.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorEkiel-Jeżewska, Maria
dc.contributor.authorCichocki, Bogdan
dc.contributor.authorWajnryb, Eligiusz
dc.date.accessioned2024-01-26T11:05:24Z
dc.date.available2024-01-26T11:05:24Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.identifier.issn0373-2029
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/123724
dc.identifier.weblinkhttps://am.ippt.pan.pl/am/article/viewFile/v69p257/pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofArchives of Mechanics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleTranslational and rotational Brownian displacements of colloidal particles of complex shapes
dc.typeJournalArticle
dspace.entity.typePublication