Results 261 to 270 of about 148,429 (293)

Minimal model for anomalous diffusion

Physical Review E, 2017
A random walk model with a local probability of removal is solved exactly and shown to exhibit subdiffusive behavior with a mean square displacement the evolves as 〈x^{2}(t)〉∼t^{1/2} at late times. This model is shown to be well described by a diffusion equation with a sink term, which also describes the evolution of a pressure or temperature field in ...
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Stochastic pathway to anomalous diffusion

Physical Review A, 1987
We 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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Avalanche dynamics from anomalous diffusion

Physical Review Letters, 1992
Bak, Tang, and Wiesenfeld introduced a sandpile model to study the so-called self-organized critical phenomena [P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988)]. There were several proposals to connect this discrete cellular automaton model with diffusion processes.
, Bántay, , Jánosi
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Anomalous diffusion and phase relaxation

Physical Review E, 2001
The diffusion and relaxation of a phase are investigated on the basis of several stochastic models. A simple relation between the diffusional behavior of the extended phase and the relaxation of periodic phase observables is found in the case of Gaussian and Lèvy distributed increments.
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Anomalous diffusion

2021
Aykut Argun, Agnese Callegari, Giovanni Volpe   +2 more
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Anomalous diffusion and weak nonergodicity

Physical Review E, 2011
Ergodic 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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Mixing normal and anomalous diffusion

The Journal of Chemical Physics, 2012
In 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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Fractional Anomalous Diffusion

2023
Luiz Roberto Evangelista, Ervin Kaminski Lenzi   +1 more
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Anomalous Diffusion

2020
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Heterogeneous Nanostructures Cause Anomalous Diffusion in Lipid Monolayers

ACS Nano, 2022
Xu Zheng, Dongshi Guan, Xikai Jiang
exaly