Probing the type of anomalous diffusion with single-particle tracking

Ernst, Dominique; Köhler, Jürgen; Weiß, Matthias

doi:10.1039/c4cp00292j

Cited by 91 publications

(98 citation statements)

References 41 publications

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“…We notice that some theoretical results suggested the non-Gaussian parameter α would decrease rapidly to zero at the beginning of the long-time Brownian stage. 21,24 However, the present results show that the non- …”

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confidence: 55%

“…This is due to the NP−polymer interaction, such as rebound or attraction. 21,22 In addition, the anticorrelation feature becomes more significant as PEO concentration increases. This local effect from the heterogeneous polymer network will disappear at about t = 10 ms, which is approximately in agreement with the transition time scale reported above.…”

Section: The Journal Of Physical Chemistry Lettersmentioning

confidence: 99%

“…19 Some theoretical analyses based on stochastic random walk models were found to be incapable of demonstrating the full displacement distribution. 20,21 The theoretical models considering particle restriction could not predict the features of higher moment of displacement. 13,18 Other physical influences such as the interaction between particle and surrounding molecules 22,23 and the dynamics in the heterogeneous structures 17,20,24,25 were also addressed, yet no consensus has been reached.…”

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confidence: 99%

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Probing Non-Gaussianity in Confined Diffusion of Nanoparticles

Xue

Zheng

Chen

et al. 2016

J. Phys. Chem. Lett.

103

116

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Confined diffusion is ubiquitous in nature. Ever since the “anomalous yet Brownian” motion was observed, the non-Gaussianity in confined diffusion has been unveiled as an important issue. In this Letter, we experimentally investigate the characteristics and source of non-Gaussian behavior in confined diffusion of nanoparticles suspended in polymer solutions. A time-varied and size-dependent non-Gaussianity is reported based on the non-Gaussian parameter and displacement probability distribution, especially when the nanoparticle’s size is smaller than the typical polymer mesh size. This non-Gaussianity does not vanish even at the long-time Brownian stage. By inspecting the displacement autocorrelation, we observe that the nanoparticle–structure interaction, indicated by the anticorrelation, is limited in the short-time stage and makes little contribution to the non-Gaussianity in the long-time stage. The main source of the non-Gaussianity can therefore be attributed to hopping diffusion that results in an exponential probability distribution with the large displacements, which may also explain certain processes dominated by rare events in the biological environment.

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confidence: 55%

Section: The Journal Of Physical Chemistry Lettersmentioning

confidence: 99%

mentioning

confidence: 99%

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Probing Non-Gaussianity in Confined Diffusion of Nanoparticles

Xue

Zheng

Chen

et al. 2016

J. Phys. Chem. Lett.

103

116

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“…To quantify the non-Gaussian behavior, so called the non-Gaussianity parameter has been utilized. The non-Gaussianity parameter is defined as [37][38][39] …”

Section: A Comparison With Other Analysis Methodsmentioning

confidence: 99%

“…The non-Gaussianity parameter [37][38][39] is widely employed to investigate the non-Gaussian properties of the diffusion processes. In this appendix, we calculate the expression for the non-Gaussian parameter A(∆) (Eq.…”

Section: Appendix C: Detailed Calculations For Reptation Modelmentioning

confidence: 99%

Fluctuation analysis of time-averaged mean-square displacement for the Langevin equation with time-dependent and fluctuating diffusivity

2015

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The mean-square displacement (MSD) is widely utilized to study the dynamical properties of stochastic processes. The time-averaged MSD (TAMSD) provides some information on the dynamics which cannot be extracted from the ensemble-averaged MSD. In particular, the relative standard deviation (RSD) of the TAMSD can be utilized to study the long time relaxation behavior. In this work, we consider a class of Langevin equations which are multiplicatively coupled to timedependent and fluctuating diffusivities. Various interesting dynamics models such as entangled polymers and supercooled liquids can be interpreted as the Langevin equations with time-dependent and fluctuating diffusivities. We derive a general formula for the RSD of the TAMSD for the Langevin equation with the time-dependent and fluctuating diffusivity. We show that the RSD can be expressed in terms of the correlation function of the diffusivity. The RSD exhibits the crossover at the long time region. The crossover time is related to a weighted average relaxation time for the diffusivity. Thus the crossover time gives some information on the relaxation time of fluctuating diffusivity which cannot be extracted from the ensemble-averaged MSD. We discuss the universality and possible applications of the formula via some simple examples.

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Temperature‐mediated diffusion of nanoparticles in semidilute polymer solutions

Qu,

Yang,

Cui

et al. 2023

Electrophoresis

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The temperature is often a critical factor affecting the diffusion of nanoparticles in complex physiological media, but its specific effects are still to be fully understood. Here, we constructed a temperature‐regulated model of semidilute polymer solution and experimentally investigated the temperature‐mediated diffusion of nanoparticles using the particle tracking method. By examining the ensemble‐averaged mean square displacements (MSDs), we found that the MSD grows gradually as the temperature increases while the transition time from sublinear to linear stage in MSD decreases. Meanwhile, the temperature‐dependent measured diffusivity of the nanoparticles shows an exponential growth. We revealed that these temperature‐mediated changes are determined by the composite effect of the macroscale property of polymer solution and the microscale dynamics of polymer chain as well as nanoparticles. Furthermore, the measured non‐Gaussian displacement probability distributions were found to exhibit non‐Gaussian fat tails, and the tailed distribution is enhanced as the temperature increases. The non‐Gaussianity was calculated and found to vary in the same trend with the tailed distribution, suggesting the occurrence of hopping events. This temperature‐mediated non‐Gaussian feature validates the recent theory of thermally induced activated hopping. Our results highlight the temperature‐mediated changes in diffusive transport of nanoparticles in polymer solutions and may provide the possible strategy to improve drug delivery in physiological media.

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Probing the type of anomalous diffusion with single-particle tracking

Cited by 91 publications

References 41 publications

Probing Non-Gaussianity in Confined Diffusion of Nanoparticles

Probing Non-Gaussianity in Confined Diffusion of Nanoparticles

Fluctuation analysis of time-averaged mean-square displacement for the Langevin equation with time-dependent and fluctuating diffusivity

Temperature‐mediated diffusion of nanoparticles in semidilute polymer solutions

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