2019
DOI: 10.1073/pnas.1900239116
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Transport dynamics of complex fluids

Abstract: Thermal motion in complex fluids is a complicated stochastic process but ubiquitously exhibits initial ballistic, intermediate subdiffusive, and long-time diffusive motion, unless interrupted. Despite its relevance to numerous dynamical processes of interest in modern science, a unified, quantitative understanding of thermal motion in complex fluids remains a challenging problem. Here, we present a transport equation and its solutions, which yield a unified quantitative explanation of the mean-square displacem… Show more

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Cited by 42 publications
(54 citation statements)
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“…, at times where Fickian dif fusion emerges (38). This result allows us to extract the time cor relation function of the diffusion coefficient fluctuation from the NGP time profile.…”
Section: Fluctuation In Diffusion Coefficients Of Nanoparticles In a Glcmentioning
confidence: 89%
See 1 more Smart Citation
“…, at times where Fickian dif fusion emerges (38). This result allows us to extract the time cor relation function of the diffusion coefficient fluctuation from the NGP time profile.…”
Section: Fluctuation In Diffusion Coefficients Of Nanoparticles In a Glcmentioning
confidence: 89%
“…The NGP time profile can be explained by our environmentcoupled random walk model (see section S3 and fig. S19 for more details) (38,(42)(43)(44)(45)(46). In this model, the jump rate or the diffusion coefficient is treated as a dynamic, stochastic variable to account for environ mental fluctuation.…”
Section: Fluctuation In Diffusion Coefficients Of Nanoparticles In a Glcmentioning
confidence: 99%
“…In recent years considerable progress has been made in discovering and characterising physical and biological systems that feature non-Brownian diffusion. [1][2][3][4][5][6][7][8][9] Both single-molecule tracking experiments and computer simulations provide powerful means to study the diffusion dynamics in a variety of environments. In 2017, 3D single-molecule tracking experiments of large organic molecules diffusing on a functionalised silica surface clearly showed the presence of a hopping mechanism whereby the molecules undergo large displacements when momentarily detached and otherwise remain in states of low mobility.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, a series of generalized Gaussian distributions were reported in a huge quantity of contexts. Among them, in super-statistical [1][2][3], diffusion with memory kernels [4][5][6], stochastic resetting process [7,8], controlled-diffusion [9][10][11], complex fluids [12], etc. In this scenario, a huge quantity of systems present a relation between a non-Gaussian distribution and anomalous diffusion process by nonlinear growth of the mean square displacement (MSD) in time [13,14], i.e., (∆x) 2 = 2K α t α , in which K α is a general diffusion coefficient with fractional dimension.…”
Section: Introductionmentioning
confidence: 99%