Results 1 to 10 of about 25,625 (161)
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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Exploring how deep learning decodes anomalous diffusion via Grad-CAM [PDF]
Nature CommunicationsWhile deep learning has been successfully applied to the data-driven classification of anomalous diffusion mechanisms, how the algorithm achieves the feat remains a mystery.
Jaeyong Bae, Yongjoo Baek, Hawoong Jeong
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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 on a fractal mesh [PDF]
Physical Review E, 2017 An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers. The fractal sets of both backbones and fingers are constructed on the entire (infinite) $y$ and $x$ axises. To this end we suggested
Holger Kantz +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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Fractal model of anomalous diffusion. [PDF]
Eur Biophys J, 2015 An equation of motion is derived from fractal analysis of the Brownian particle trajectory in which the asymptotic fractal dimension of the trajectory has a required value. The formula makes it possible to calculate the time dependence of the mean square displacement for both short and long periods when the molecule diffuses anomalously.
Gmachowski L.
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Thermal resistance effect on anomalous diffusion of molecules under confinement [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2021 Anmin Zheng +2 more
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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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Anomalous Heat Diffusion [PDF]
Physical Review Letters, 2014 Consider anomalous energy spread in solid phases, i.e., $MSD= \int (x -{\langle x \rangle}_E)^2 ρ_E(x,t)dx \propto t^β$, as induced by a small initial excess energy perturbation distribution $ρ_{E}(x,t=0)$ away from equilibrium. The associated total thermal equilibrium heat flux autocorrelation function $C_{JJ}(t)$ is shown to obey rigorously the ...
Liu, S. +4 more
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