Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles

The effect of hydrodynamic interactions (HI) on the long-time self-diffusion in quasi-two-dimensional fluids of paramagnetic colloidal particles is investigated using a combination of experiments and Brownian dynamics (BD) simulations. In the BD simulations, the direct interactions (DI) between the...

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Main Authors: Siboni, NH, Thorneywork, AL, Damm, A, Dullens, RPA, Horbach, J
Format: Journal article
Language:English
Published: American Physical Society 2020
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author Siboni, NH
Thorneywork, AL
Damm, A
Dullens, RPA
Horbach, J
author_facet Siboni, NH
Thorneywork, AL
Damm, A
Dullens, RPA
Horbach, J
author_sort Siboni, NH
collection OXFORD
description The effect of hydrodynamic interactions (HI) on the long-time self-diffusion in quasi-two-dimensional fluids of paramagnetic colloidal particles is investigated using a combination of experiments and Brownian dynamics (BD) simulations. In the BD simulations, the direct interactions (DI) between the particles consist of a short-ranged repulsive part and a long-ranged part that is proportional to 1/r3, with r the interparticle distance. By studying the equation of state, the simulations allow for the identification of the regime where the properties of the fluid are fully controlled by the long-ranged interactions, and the thermodynamic state solely depends on the dimensionless interaction strength Γ. In this regime, the radial distribution functions from the simulations are in quantitative agreement with those from the experiments for different fluid area fractions. This agreement confirms that the DI in the experiments and simulations are identical, which thus allows us to isolate the role of HI, as these are not taken into account in the BD simulations. Experiment and simulation fall onto a master curve with respect to the Γ dependence of D★L=DL/(D0Γ1/2), with D0 the self-diffusion coefficient at infinite dilution and DL the long-time self-diffusion coefficient. Our results thus show that, although HI affect the short-time self-diffusion, for a quasi-two-dimensional system with 1/r3 long-ranged DI, the reduced quantity D★L is effectively not affected by HI. Interestingly, this is in agreement with prior work on quasi-two-dimensional colloidal hard spheres.
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spelling oxford-uuid:d4ce78e6-6767-4e5a-993b-1e7d0451145e2022-03-27T08:21:21ZLong-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d4ce78e6-6767-4e5a-993b-1e7d0451145eEnglishSymplectic ElementsAmerican Physical Society2020Siboni, NHThorneywork, ALDamm, ADullens, RPAHorbach, JThe effect of hydrodynamic interactions (HI) on the long-time self-diffusion in quasi-two-dimensional fluids of paramagnetic colloidal particles is investigated using a combination of experiments and Brownian dynamics (BD) simulations. In the BD simulations, the direct interactions (DI) between the particles consist of a short-ranged repulsive part and a long-ranged part that is proportional to 1/r3, with r the interparticle distance. By studying the equation of state, the simulations allow for the identification of the regime where the properties of the fluid are fully controlled by the long-ranged interactions, and the thermodynamic state solely depends on the dimensionless interaction strength Γ. In this regime, the radial distribution functions from the simulations are in quantitative agreement with those from the experiments for different fluid area fractions. This agreement confirms that the DI in the experiments and simulations are identical, which thus allows us to isolate the role of HI, as these are not taken into account in the BD simulations. Experiment and simulation fall onto a master curve with respect to the Γ dependence of D★L=DL/(D0Γ1/2), with D0 the self-diffusion coefficient at infinite dilution and DL the long-time self-diffusion coefficient. Our results thus show that, although HI affect the short-time self-diffusion, for a quasi-two-dimensional system with 1/r3 long-ranged DI, the reduced quantity D★L is effectively not affected by HI. Interestingly, this is in agreement with prior work on quasi-two-dimensional colloidal hard spheres.
spellingShingle Siboni, NH
Thorneywork, AL
Damm, A
Dullens, RPA
Horbach, J
Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles
title Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles
title_full Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles
title_fullStr Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles
title_full_unstemmed Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles
title_short Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles
title_sort long time self diffusion in quasi two dimensional colloidal fluids of paramagnetic particles
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AT thorneyworkal longtimeselfdiffusioninquasitwodimensionalcolloidalfluidsofparamagneticparticles
AT damma longtimeselfdiffusioninquasitwodimensionalcolloidalfluidsofparamagneticparticles
AT dullensrpa longtimeselfdiffusioninquasitwodimensionalcolloidalfluidsofparamagneticparticles
AT horbachj longtimeselfdiffusioninquasitwodimensionalcolloidalfluidsofparamagneticparticles