Results 11 to 20 of about 1,327,897 (226)
Unexpected crossovers in correlated random-diffusivity processes
New Journal of Physics, 2020 The passive and active motion of micron-sized tracer particles in crowded liquids and inside living biological cells is ubiquitously characterised by ‘viscoelastic’ anomalous diffusion, in which the increments of the motion feature long-ranged negative ...
Wei Wang +4 more
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Anomalous diffusion induced by cristae geometry in the inner mitochondrial membrane [PDF]
, 2009 Diffusion of inner membrane proteins is a prerequisite for correct functionality of mitochondria. The complicated structure of tubular, vesicular or flat cristae and their small connections to the inner boundary membrane impose constraints on the ...
Jürgen Bereiter-Hahn +6 more
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Anomalous Processes with General Waiting Times: Functionals and Multipoint Structure [PDF]
, 2015 Many transport processes in nature exhibit anomalous diffusive properties with nontrivial scaling of the mean square displacement, e.g., diffusion of cells or of biomolecules inside the cell nucleus, where typically a crossover between different scaling ...
Cairoli, A, Baule, A
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Caputo Fractional Derivative and Quantum-Like Coherence
Entropy, 2021 We study two forms of anomalous diffusion, one equivalent to replacing the ordinary time derivative of the standard diffusion equation with the Caputo fractional derivative, and the other equivalent to replacing the time independent diffusion coefficient
Garland Culbreth +3 more
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Quantifying non-ergodicity of anomalous diffusion with higher order moments
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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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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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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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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Lateral diffusion of proteins in cell membrane: the anomalous case [PDF]
, 2005 We present a method describing the lateral movement of proteins in cell membranes as observed in FRAP experiments. We extend earlier results derived for normal diffusion [1] to account for the case of anomalous subdiffusion. Our analytic closed forms are
Klafter, Joseph, Lubelski, Ariel
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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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