Effect of Polydispersity on Diffusion in Random Obstacle Matrices

Cho, Hyun Woo; Kwon, Gyemin; Sung, Bong June; Yethiraj, Arun

doi:10.1103/physrevlett.109.155901

Cited by 24 publications

(25 citation statements)

References 25 publications

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“…40 It was also found that the diffusion coefficient for a long time near the percolation threshold scales as D z 3 m where 3 ¼ |c À c c |/c c with m z 4.34. This value of the exponent m is different from the pervious prediction obtained from the percolation theory and simulations, 50 where m ¼ 1.31. This probably results from the completely different transport mechanism in our model and mechanisms proposed in continuous models (represented by the Lorentz model or by the DMD model) and in models based on a lattice.…”

Section: Discussioncontrasting

confidence: 81%

“…75 The problem with no-universality of the m exponent in 2D simulations was reported later in ref. 50, when the Discontinuous Molecular Dynamic (DMD) simulations and the spatial tessellation were used to investigate the effect of polydispersity in obstacle size on the solute diffusion. On the other hand perfect agreement between the expected scaling behavior of m and simulation results in the case of the two-dimensional Lorentz model was reported.…”

Section: Dynamic Behavior Near the Critical Point: The Percolationmentioning

confidence: 99%

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Simulation of diffusion in a crowded environment

Polanowski

Sikorski

2014

Soft Matter

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We performed extensive and systematic simulation studies of two-dimensional fluid motion in a complex crowded environment. In contrast to other studies we focused on cooperative phenomena that occurred if the motion of particles takes place in a dense crowded system, which can be considered as a crude model of a cellular membrane. Our main goal was to answer the following question: how do the fluid molecules move in an environment with a complex structure, taking into account the fact that motions of fluid molecules are highly correlated. The dynamic lattice liquid (DLL) model, which can work at the highest fluid density, was employed. Within the frame of the DLL model we considered cooperative motion of fluid particles in an environment that contained static obstacles. The dynamic properties of the system as a function of the concentration of obstacles were studied. The subdiffusive motion of particles was found in the crowded system. The influence of hydrodynamics on the motion was investigated via analysis of the displacement in closed cooperative loops. The simulation and the analysis emphasize the influence of the movement correlation between moving particles and obstacles.

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Section: Discussioncontrasting

confidence: 81%

Section: Dynamic Behavior Near the Critical Point: The Percolationmentioning

confidence: 99%

Simulation of diffusion in a crowded environment

Polanowski

Sikorski

2014

Soft Matter

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“…In the RLG, a spherical particle of radius σ (the tracer) elastically bounces off Poisson-distributed point obstacles (scatterers). When scatterers are sparse, the tracer motion is diffusive after just a few collisions [6], but upon increasing the number density of obstacles, ρ, the tracer first develops an increasingly long subdiffusive regime and then becomes fully localized beyond a finite ρ p [7][8][9]. Interestingly, the onset of dynamical arrest in the RLG can be mapped onto the void percolation transition for overlapping, Poisson-distributed spheres (as can be seen by exchanging the tracer's size with the scatterers'), which provides a static interpretation for the phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Dimensional study of the dynamical arrest in a random Lorentz gas

Jin

Charbonneau

2015

Phys. Rev. E

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The random Lorentz gas (RLG) is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence of the dynamical arrest, which can be mapped onto the void percolation transition for Poisson-distributed point obstacles. We numerically determine the arrest in dimensions d = 2-6. Comparison of the results with standard mode-coupling theory reveals that the dynamical theory prediction grows increasingly worse with d. In an effort to clarify the origin of this discrepancy, we relate the dynamical arrest in the RLG to the dynamic glass transition of the infinite-range Mari-Kurchan-model glass former. Through a mixed static and dynamical analysis, we then extract an improved dimensional scaling form as well as a geometrical upper bound for the arrest. The results suggest that understanding the asymptotic behavior of the random Lorentz gas may be key to surmounting fundamental difficulties with the mode-coupling theory of glasses.

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“…Evidence for the robustness of the universality class with respect to structural correlations has been collected earlier [57], e.g., by introducing polydisperse obstacles [58]. However, there the simulation was for 2D systems, where the exponent relation equation (1) [59] with the same conclusion that the exponent d w is robust, yet for dissipative particle dynamics (DPD) and with significantly lower statistical accuracy.…”

mentioning

confidence: 98%

Splitting of the Universality Class of Anomalous Transport in Crowded Media

et al. 2016

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We investigate the emergence of subdiffusive transport by obstruction in continuum models for molecular crowding. While the underlying percolation transition for the accessible space displays universal behavior, the dynamic properties depend in a subtle nonuniversal way on the transport through narrow channels. At the same time, the different universality classes are robust with respect to introducing correlations in the obstacle matrix as we demonstrate for quenched hard-sphere liquids as underlying structures. Our results confirm that the microscopic dynamics can dominate the relaxational behavior even at long times, in striking contrast to glassy dynamics.

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Effect of Polydispersity on Diffusion in Random Obstacle Matrices

Cited by 24 publications

References 25 publications

Simulation of diffusion in a crowded environment

Simulation of diffusion in a crowded environment

Dimensional study of the dynamical arrest in a random Lorentz gas

Splitting of the Universality Class of Anomalous Transport in Crowded Media

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