Universal Scaling Law for Colloidal Diffusion in Complex Media

Ning, Luhui; Liu, Peng; Zong, Yanhua; Li, Rui; Yang, Mingcheng; Chen, Ke

doi:10.1103/physrevlett.122.178002

Cited by 10 publications

(6 citation statements)

References 51 publications

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“…[2,17] Colloidal systems In the colloidal systems, the tracer can be easily tracked and the environment structure also can be manipulated and imaged (see e.g., Ref. [5]). They are hence good proving grounds for the diffusion theories.…”

Section: Discussionmentioning

confidence: 99%

“…Particle tracking experiments on various disordered systems, including the living cells, [1][2][3][4] colloidal [5,6] and granular [7] systems have provided numerous trajectories with rich dynamic details. This has been utilized to infer the latent dynamics of the tracer [8] and also the disordered feature of the environments, [3,9] which calls for careful statistics analysis [10,11] on random walks.…”

Section: Introductionmentioning

confidence: 99%

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Ergodicity recovery of random walk in heterogeneous disordered media*

Luo

2020

Chinese Phys. B

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Significant and persistent trajectory-to-trajectory variance are commonly observed in particle tracking experiments, which have become a major challenge for the experimental data analysis. In this theoretical paper we investigate the ergodicity recovery behavior, which helps clarify the origin and the convergence of trajectory-to-trajectory fluctuation in various heterogeneous disordered media. The concepts of self-averaging and ergodicity are revisited in the context of trajectory analysis. The slow ergodicity recovery and the non-Gaussian diffusion in the annealed disordered media are shown as the consequences of the central limit theorem in different situations. The strange ergodicity recovery behavior is reported in the quenched disordered case, which arises from a localization mechanism. The first-passage approach is introduced to the ergodicity analysis for this case, of which the central limit theorem can be employed and the ergodicity is recovered in the length scale of diffusivity correlation.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Ergodicity recovery of random walk in heterogeneous disordered media*

Luo

2020

Chinese Phys. B

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“…1−3 Moreover, a universal scaling relation between the colloidal diffusion of the spherical particle and the structures of the confinement has been demonstrated. 4,5 In addition, the confined colloidal diffusion is also of significant interest in a wide range of applications in biological systems. For example, the functions of proteins essentially depend on their translocations under crowded physiological conditions, 6,7 and the effective diffusion and transport in a biological medium are critical to drug deliveries and nanoparticle therapeutics.…”

Section: ■ Introductionmentioning

confidence: 99%

“…Colloidal diffusion in confinement is crucial for a fundamental understanding of diffusion dynamics, and the underlying physical mechanism is closely related to the confined space accessible to the diffusing colloids. For example, the classic Lorentz gas model describes the motion of spheres in a fixed matrix with randomly distributed particles, which captures a confinement-induced localization transition of the diffusion dynamics. − Moreover, a universal scaling relation between the colloidal diffusion of the spherical particle and the structures of the confinement has been demonstrated. , In addition, the confined colloidal diffusion is also of significant interest in a wide range of applications in biological systems. For example, the functions of proteins essentially depend on their translocations under crowded physiological conditions, , and the effective diffusion and transport in a biological medium are critical to drug deliveries and nanoparticle therapeutics. − Thereby, the diffusive transport of colloids in confinement has attracted increasing interests in the chemistry, physics, and biology communities. − …”

Section: Introductionmentioning

confidence: 99%

Diffusion of Anisotropic Colloids in Periodic Arrays of Obstacles

2020

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Colloidal suspensions in confined geometries exhibit rich diffusion dynamics governed by particle shapes and particle-confinement interactions. Here, we propose a colloidal system, consisting of ellipsoids in periodic array of obstacles, to investigate the confined diffusion of anisotropic colloids. From the obstacle density-dependent diffusion, we discover a decoupling of translational and rotational diffusion in which only rotational motion is localized while translational motion remains diffusive. Moreover, by evaluating the probability distributions of displacements, we found Brownian but non-Gaussian diffusion behaviors with increasing the obstacle densities, which originates from the shape anisotropy of the colloid and the multiplicity of the local configurations of the ellipsoids with respect to the obstacle. Our results suggest that the shape anisotropy and spatial confinements play a vital role in the diffusion dynamics. It is important for understanding the transportations of anisotropic objects in complex environments.

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“…For typical liquids, S ex derives mainly from pair correlations of its constituents (13) and is readily evaluated by experiment (15,19). Excess entropy accurately predicts transport coefficients of simple and complex fluids in equilibrium using their static structure (15,(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30). Recently, in computer simulations, S ex has been applied to supercooled liquids under steady-state shear; the shear-dependent relaxation time of the supercooled liquids was found to scale with S ex (16), thereby revealing a simple structural connection to shear-thinning induced relaxation.…”

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confidence: 99%

Scaling of relaxation and excess entropy in plastically deformed amorphous solids

Galloway

Keim

et al. 2020

Proc. Natl. Acad. Sci. U.S.A.

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When stressed sufficiently, solid materials yield and deform plastically via reorganization of microscopic constituents. Indeed, it is possible to alter the microstructure of materials by judicious application of stress, an empirical process utilized in practice to enhance the mechanical properties of metals. Understanding the interdependence of plastic flow and microscopic structure in these nonequilibrium states, however, remains a major challenge. Here, we experimentally investigate this relationship, between the relaxation dynamics and microscopic structure of disordered colloidal solids during plastic deformation. We apply oscillatory shear to solid colloidal monolayers and study their particle trajectories as a function of shear rate in the plastic regime. Under these circumstances, the strain rate, the relaxation rate associated with plastic flow, and the sample microscopic structure oscillate together, but with different phases. Interestingly, the experiments reveal that the relaxation rate associated with plastic flow at time t is correlated with the strain rate and sample microscopic structure measured at earlier and later times, respectively. The relaxation rate, in this nonstationary condition, exhibits power-law, shear-thinning behavior and scales exponentially with sample excess entropy. Thus, measurement of sample static structure (excess entropy) provides insight about both strain rate and constituent rearrangement dynamics in the sample at earlier times.

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Universal Scaling Law for Colloidal Diffusion in Complex Media

Cited by 10 publications

References 51 publications

Ergodicity recovery of random walk in heterogeneous disordered media*

Ergodicity recovery of random walk in heterogeneous disordered media*

Diffusion of Anisotropic Colloids in Periodic Arrays of Obstacles

Scaling of relaxation and excess entropy in plastically deformed amorphous solids

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