Results 11 to 20 of about 27,190 (260)
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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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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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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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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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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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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Anomalous Diffusion in Fractal Globules [PDF]
Physical Review Letters, 2015 The fractal globule state is a popular model for describing chromatin packing in eukaryotic nuclei. Here we provide a scaling theory and dissipative particle dynamics (DPD) computer simulation for the thermal motion of monomers in the fractal globule state. Simulations starting from different entanglement-free initial states show good convergence which
M. V. Tamm +3 more
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Anomalous diffusion with absorbing boundary [PDF]
Physical Review E, 2007 In a very long Gaussian polymer on time scales shorter that the maximal relaxation time, the mean squared distance travelled by a tagged monomer grows as ~t^{1/2}. We analyze such sub-diffusive behavior in the presence of one or two absorbing boundaries and demonstrate the differences between this process and the sub-diffusion described by the ...
Kantor, Yacov, Kardar, Mehran
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