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Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization [PDF]
MethodsX, 2022 The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
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NOBIAS: Analyzing Anomalous Diffusion in Single-Molecule Tracks With Nonparametric Bayesian Inference [PDF]
Frontiers in Bioinformatics, 2021 Single particle tracking (SPT) enables the investigation of biomolecular dynamics at a high temporal and spatial resolution in living cells, and the analysis of these SPT datasets can reveal biochemical interactions and mechanisms. Still, how to make the
Ziyuan Chen +3 more
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Quantifying non-ergodicity of anomalous diffusion with higher order moments [PDF]
Scientific Reports, 2017 Anomalous diffusion is being discovered in a fast growing number of systems. The exact nature of this anomalous diffusion provides important information on the physical laws governing the studied system.
Maria Schwarzl +2 more
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Anomalous diffusion along metal/ceramic interfaces [PDF]
Nature Communications, 2018 Little is known about diffusion along metal/ceramic interfaces even though it controls the physical behavior and lifetimes of many devices (including batteries, microelectronics, and jet engines).
Aakash Kumar +6 more
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Socioeconomic Gauging of Brown and Levy Power Motions [PDF]
EntropyRecently introduced, power Brownian motion and power Levy motion are versatile and practical anomalous-diffusion models. On the one hand, the power motions are easily constructed and are easily tracked.
Iddo Eliazar
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Mathematics, 2021 Fractional-order time and space derivatives are one way to augment the classical diffusion equation so that it accounts for the non-Gaussian processes often observed in heterogeneous materials.
Richard L. Magin, Ervin K. Lenzi
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NeuroImage, 2022 Diffusion MRI measures of the human brain provide key insight into microstructural variations across individuals and into the impact of central nervous system diseases and disorders.
Qianqian Yang +2 more
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Frontiers in Physics, 2020 In this mini-review, we addressed the transient-anomalous diffusion by MRI, starting from the assumption that transient-anomalous diffusion is ubiquitously observed in biological tissues, as demonstrated by different single-particle-tracking optical ...
Silvia Capuani +2 more
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Dual-Zone Gas Flow Characteristics for Gas Drainage Considering Anomalous Diffusion
Energies, 2022 Gas drainage in deep coal seam is a critical issue ensuring the safety of mining and an important measure to obtain gas as a kind of clean available energy.
Xiangyu Wang +4 more
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Superdiffusion revisited in view of collisionless reconnection [PDF]
Annales Geophysicae, 2014 The concept of diffusion in collisionless space plasmas like those near the magnetopause and in the geomagnetic tail during reconnection is reexamined making use of the division of particle orbits into waiting orbits and break-outs into ballistic ...
R. A. Treumann +3 more
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