Results 21 to 30 of about 148,429 (293)
Advances in Difference Equations, 2018 In this article, an anomalous diffusion model via a new Liouville-Caputo general fractional operator with the Mittag-Leffler function of Wiman type is investigated for the first time.
Xin Liang +4 more
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Frontiers in Physics, 2020 We explore the anomalous diffusion that may arise as a result of a concentration dependent diffusivity. The diffusivity is taken to be a power law in the concentration, and from exact analytical solutions we show that the diffusion may be anomalous, or ...
Alex Hansen +4 more
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Time-Dependent Fractional Diffusion and Friction Functions for Anomalous Diffusion
Frontiers in Physics, 2021 The precise determination of diffusive properties is presented for a system described by the generalized Langevin equation. The time-dependent fractional diffusion function and the Green-Kubo relation as well as the generalized Stokes-Einstein formula ...
Jing-Dong Bao
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On the strong anomalous diffusion [PDF]
, 1998 The superdiffusion behavior, i.e. $ \sim t^{2 \nu}$, with $\nu > 1/2$, in general is not completely characherized by a unique exponent. We study some systems exhibiting strong anomalous diffusion, i.e. $ \sim t^{q \nu(q)}$ where $\nu(2)>1/2$ and $q \nu(q)
A. Mazzino +49 more
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Diffusion tensor MRI phantom exhibits anomalous diffusion [PDF]
2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014 This paper reports diffusion weighted MRI measurements of cyclohexane in a novel diffusion tensor MRI phantom composed of hollow coaxial electrospun fibers (average diameter 10.2 μm). Recent studies of the phantom demonstrated its potential as a calibration standard at low b values (less than 1000 s/mm2) for mean diffusivity and fractional anisotropy ...
Ye, Allen Q +5 more
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An Analytical Flow Model for Heterogeneous Multi-Fractured Systems in Shale Gas Reservoirs
Energies, 2018 The use of multiple hydraulically fractured horizontal wells has been proven to be an efficient and effective way to enable shale gas production. Meanwhile, analytical models represent a rapid evaluation method that has been developed to investigate the ...
Honghua Tao +5 more
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Characterizing anomalous diffusion in crowded polymer solutions and gels over five decades in time with variable-lengthscale fluorescence correlation spectroscopy [PDF]
, 2016 The diffusion of macromolecules in cells and in complex fluids is often found to deviate from simple Fickian diffusion. One explanation offered for this behavior is that molecular crowding renders diffusion anomalous, where the mean-squared displacement ...
Banks, Daniel S. +4 more
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Measurement: Sensors, 2020 Anomalous diffusion phenomena are ubiquitous in many areas, including physics, biology, medicine, climate and also financial markets. The description and analysis of this phenomena are challenging tasks.
Katarzyna Maraj +5 more
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Anomalous diffusion-controlled evaporation [PDF]
Journal of the Chemical Society, Faraday Transactions 2, 1973 Diffusion-controlled, steady-state evaporation through certain membranes has been reported to proceed anomalously faster into a humid than into a dry atmosphere. The diffusion coefficient of such a membrane depends explicitly on both concentration and location within the membrane.
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Analysis of PFG Anomalous Diffusion via Real-Space and Phase-Space Approaches
Mathematics, 2018 Pulsed-field gradient (PFG) diffusion experiments can be used to measure anomalous diffusion in many polymer or biological systems. However, it is still complicated to analyze PFG anomalous diffusion, particularly the finite gradient pulse width (FGPW ...
Guoxing Lin
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