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• W2510121172 abstract "We consider the continuous time random walk model (CTRW) of tracer's motion in porous medium flows based on the experimentally determined distributions of pore velocity and pore size reported in Holzner et al. Phys. Rev. E 92, 013015 (2015). The particle's passing through one channel is modelled as one step of the walk. The step's (channel) length is random and the walker's velocity at consecutive steps of the walk is conserved with finite probability mimicking that at the turning point there could be no abrupt change of velocity. We provide the Laplace transform of the characteristic function of the walker's position and reductions for different cases of independence of the CTRW's step's duration tau, length l and velocity v. We solve our model with independent l and v. The model incorporates different forms of the tail of the probability density of small velocities that vary with the model parameter alpha. Depending on that parameter all types of anomalous diffusion can hold, from super- to subdiffusion. In a finite interval of alpha, ballistic behavior with logarithmic corrections holds that was observed in a previously introduced CTRW model with independent l and tau. Universality of tracer's diffusion in the porous medium is considered." @default.
• W2510121172 created "2016-09-16" @default.
• W2510121172 creator A5032726673 @default.
• W2510121172 creator A5090138822 @default.
• W2510121172 date "2016-08-22" @default.
• W2510121172 modified "2023-09-26" @default.
• W2510121172 title "Solvable continuous-time random walk model of the motion of tracer particles through porous media" @default.
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• W2510121172 doi "https://doi.org/10.1103/physreve.94.022132" @default.
• W2510121172 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/27627271" @default.
• W2510121172 hasPublicationYear "2016" @default.
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