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Translational and rotational Brownian displacements of colloidal particles of complex shapes
dc.abstract.en | The 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.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Ekiel-Jeżewska, Maria |
dc.contributor.author | Cichocki, Bogdan |
dc.contributor.author | Wajnryb, Eligiusz |
dc.date.accessioned | 2024-01-26T11:05:24Z |
dc.date.available | 2024-01-26T11:05:24Z |
dc.date.issued | 2017 |
dc.description.finance | Nie dotyczy |
dc.identifier.issn | 0373-2029 |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/123724 |
dc.identifier.weblink | https://am.ippt.pan.pl/am/article/viewFile/v69p257/pdf |
dc.language | eng |
dc.pbn.affiliation | physical sciences |
dc.relation.ispartof | Archives of Mechanics |
dc.rights | ClosedAccess |
dc.sciencecloud | nosend |
dc.title | Translational and rotational Brownian displacements of colloidal particles of complex shapes |
dc.type | JournalArticle |
dspace.entity.type | Publication |