Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions

We examine by extensive computer simulations the self-diffusion of anisotropic star-like particles in crowded two-dimensional solutions. We investigate the implications of the area coverage fraction ϕ of the crowders and the crowder–crowder adhesion properties on the regime of transient anomalous di...

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Main Authors: Jaeoh Shin, Andrey G Cherstvy, Ralf Metzler
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/11/113028
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author Jaeoh Shin
Andrey G Cherstvy
Ralf Metzler
author_facet Jaeoh Shin
Andrey G Cherstvy
Ralf Metzler
author_sort Jaeoh Shin
collection DOAJ
description We examine by extensive computer simulations the self-diffusion of anisotropic star-like particles in crowded two-dimensional solutions. We investigate the implications of the area coverage fraction ϕ of the crowders and the crowder–crowder adhesion properties on the regime of transient anomalous diffusion. We systematically compute the mean squared displacement (MSD) of the particles, their time averaged MSD, and the effective diffusion coefficient. The diffusion is ergodic in the limit of long traces, such that the mean time averaged MSD converges towards the ensemble averaged MSD, and features a small residual amplitude spread of the time averaged MSD from individual trajectories. At intermediate time scales, we quantify the anomalous diffusion in the system. Also, we show that the translational—but not rotational—diffusivity of the particles D is a nonmonotonic function of the attraction strength between them. Both diffusion coefficients decrease as the power law $D(\phi )\sim {(1-\phi /{\phi }^{\star })}^{2...2.4}$ with the area fraction ϕ occupied by the crowders and the critical value ${\phi }^{\star }.$ Our results might be applicable to rationalising the experimental observations of non-Brownian diffusion for a number of standard macromolecular crowders used in vitro to mimic the cytoplasmic conditions of living cells.
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spelling doaj.art-b9e7f9f1b54e48428543ac9e485a4f282023-08-08T14:22:01ZengIOP PublishingNew Journal of Physics1367-26302015-01-01171111302810.1088/1367-2630/17/11/113028Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactionsJaeoh Shin0Andrey G Cherstvy1Ralf Metzler2Institute for Physics & Astronomy, University of Potsdam , 14476 Potsdam-Golm, Germany; Max Planck Institute for the Physics of Complex Systems , 01187 Dresden, GermanyInstitute for Physics & Astronomy, University of Potsdam , 14476 Potsdam-Golm, GermanyInstitute for Physics & Astronomy, University of Potsdam , 14476 Potsdam-Golm, Germany; Department of Physics, Tampere University of Technology , 33101 Tampere, FinlandWe examine by extensive computer simulations the self-diffusion of anisotropic star-like particles in crowded two-dimensional solutions. We investigate the implications of the area coverage fraction ϕ of the crowders and the crowder–crowder adhesion properties on the regime of transient anomalous diffusion. We systematically compute the mean squared displacement (MSD) of the particles, their time averaged MSD, and the effective diffusion coefficient. The diffusion is ergodic in the limit of long traces, such that the mean time averaged MSD converges towards the ensemble averaged MSD, and features a small residual amplitude spread of the time averaged MSD from individual trajectories. At intermediate time scales, we quantify the anomalous diffusion in the system. Also, we show that the translational—but not rotational—diffusivity of the particles D is a nonmonotonic function of the attraction strength between them. Both diffusion coefficients decrease as the power law $D(\phi )\sim {(1-\phi /{\phi }^{\star })}^{2...2.4}$ with the area fraction ϕ occupied by the crowders and the critical value ${\phi }^{\star }.$ Our results might be applicable to rationalising the experimental observations of non-Brownian diffusion for a number of standard macromolecular crowders used in vitro to mimic the cytoplasmic conditions of living cells.https://doi.org/10.1088/1367-2630/17/11/113028anomalous diffusioncrowded fluidsstochastic processes
spellingShingle Jaeoh Shin
Andrey G Cherstvy
Ralf Metzler
Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
New Journal of Physics
anomalous diffusion
crowded fluids
stochastic processes
title Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
title_full Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
title_fullStr Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
title_full_unstemmed Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
title_short Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
title_sort self subdiffusion in solutions of star shaped crowders non monotonic effects of inter particle interactions
topic anomalous diffusion
crowded fluids
stochastic processes
url https://doi.org/10.1088/1367-2630/17/11/113028
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AT andreygcherstvy selfsubdiffusioninsolutionsofstarshapedcrowdersnonmonotoniceffectsofinterparticleinteractions
AT ralfmetzler selfsubdiffusioninsolutionsofstarshapedcrowdersnonmonotoniceffectsofinterparticleinteractions