New Search

Advanced search
Export article
Open Access

Non-Gaussian subdiffusion of single-molecule tracers in a hydrated polymer network

Sciprofile linkR. K. Singh, Jaladhar Mahato, Sciprofile linkArindam Chowdhury, Anirban Sain, Sciprofile linkAmitabha Nandi
Published: 14 January 2020
The Journal of Chemical Physics , Volume 152; doi:10.1063/1.5128743

Abstract: Single molecule tracking experiments inside a hydrated polymer network have shown that the tracer motion is subdiffusive due to the viscoelastic environment inside the gel-like network. This property can be related to the negative autocorrelation of the instantaneous displacements at short times. Although the displacements of the individual tracers exhibit Gaussian statistics, the displacement distribution of all the trajectories combined from different spatial locations of the polymer network exhibits a non-Gaussian distribution. Here, we analyze many individual tracer trajectories to show that the central portion of the non-Gaussian distribution can be well approximated by an exponential distribution that spreads sublinearly with time. We explain all these features seen in the experiment by a generalized Langevin model for an overdamped particle with algebraically decaying correlations. We show that the degree of non-Gaussianity can change with the extent of heterogeneity, which is controlled in our model by the experimentally observed distributions of the motion parameters.Single molecule tracking experiments inside a hydrated polymer network have shown that the tracer motion is subdiffusive due to the viscoelastic environment inside the gel-like network. This property can be related to the negative autocorrelation of the instantaneous displacements at short times. Although the displacements of the individual tracers exhibit Gaussian statistics, the displacement distribution of all the trajectories combined from different spatial locations of the polymer network exhibits a non-Gaussian distribution. Here, we analyze many individual tracer trajectories to show that the central portion of the non-Gaussian distribution can be well approximated by an exponential distribution that spreads sublinearly with time. We explain all these features seen in the experiment by a generalized Langevin model for an overdamped particle with algebraically decaying correlations. We show that the degree of non-Gaussianity can change with the extent of heterogeneity, which is controlled in our mod...
Keywords: distribution / model / Gaussian / polymer network / Central Portion / Molecule Tracking / Tracer Trajectories / subdiffusive due

Share this article

Click here to see the statistics on "The Journal of Chemical Physics" .
References (80)