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Anomalous Diffusion in Molecular Communication
IEEE Communications Letters, 2015We consider anomalous diffusion to model a molecular communication channel. To account for general and practical molecular propagation, we use the fractional diffusion equation and derive the distribution of first passage time in terms of Fox's $H$ -function.
Trang Ngoc Cao +3 more
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Stochastic pathway to anomalous diffusion
Physical Review A, 1987We present an appraisal of differential-equation models for anomalous diffusion, in which the time evolution of the mean-square displacement is 〈${r}^{2}$(t)〉\ensuremath{\sim}${t}^{\ensuremath{\gamma}}$ with \ensuremath{\gamma}\ensuremath{\ne}1. By comparison, continuous-time random walks lead via generalized master equations to an integro-differential
, Klafter, , Blumen, , Shlesinger
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Anomalous diffusion and weak nonergodicity
Physical Review E, 2011Ergodic behavior of the class of G processes G(t)=∫(t(m))(t)du K(t,u)ξ(u)-∫(t(m))(0)du K(0,u)ξ(u), (ξ(t))=0, (ξ(t)ξ(s))=ϕ(|t-s|) is examined. Ergodicproperties are only G extensions of normal diffusion (K=1) and of Mandelbrot-Van Ness fractional diffusion [K(t,u)=K(t-u), t(m)→-∞].
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Anomalous Diffusion in a Magnetized Plasma
Physical Review Letters, 1973It is shown that the anomalous diffusion of a plasma across a strong external magnetic field may result from the hydrodynamic behavior of the plasma. The hydrodynamic contribution to the velocity-velocity correlation function is found to be proportional to l/B for a magnetized plasma.
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Mixing normal and anomalous diffusion
The Journal of Chemical Physics, 2012In the densely filled biological cells often subdiffusion is observed, where the average squared displacement increases slower than linear with the length of the observation interval. One reason for such subdiffusive behavior is attractive interactions between the diffusing particles that lead to temporary complex formation.
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Anomalous diffusion in zeolites
Chemical Engineering Science, 2021Chunzhong Li, Honglai Liu, Cheng Lian
exaly
On the Prediction of Anomalous Contaminant Diffusion
2023Douglas F. Corrêa +4 more
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Anomalous diffusion modeling by fractal and fractional derivatives
Computers and Mathematics With Applications, 2010Wen Chen, Hongguang Sun
exaly