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Continuous-time random walk with correlated waiting times [PDF]
Physical Review E, 2009 Based on the Langevin description of the Continuous Time Random Walk (CTRW), we consider a generalization of CTRW in which the waiting times between the subsequent jumps are correlated. We discuss the cases of exponential and slowly decaying persistent power-law correlations between the waiting times as two generic examples and obtain the corresponding
Chechkin, A. V. +2 more
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Frontiers in Water, 2021 Hydrodynamic dispersion process in relation with the geometrical properties of the porous media are studied in two sets of 6 porous media samples of porosity θ ranging from 0.1 to 0.25. These two sets of samples display distinctly different evolutions of
Philippe Gouze +3 more
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SOLUTE TRANSPORT MODELLING IN LOW-PERMEABILITY HOMOGENEOUS AND SATURATED SOIL MEDIA
Rudarsko-geološko-naftni Zbornik, 2021 Fickian and non-Fickian behaviors were often detected for contaminant transport activity owed to the preferential flow and heterogeneity of soil media. Therefore, using diverse methods to measure such composite solute transport in soil media has become ...
Muhammad Zaheer +5 more
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Continuous-time random walks at all times [PDF]
The Journal of Chemical Physics, 2009 Continuous-time random walks (CTRW) play an important role in understanding of a wide range of phenomena. However, most theoretical studies of these models concentrate only on dynamics at long times. We present a new theoretical approach, based on generalized master equations picture, which allowed us to obtain explicit expressions for Laplace ...
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Continuous-time random walks: Simulation of continuous trajectories [PDF]
Physical Review E, 2007 Continuous time random walks have been developed as a straightforward generalisation of classical random walk processes. Some 10 years ago, Fogedby introduced a continuous representation of these processes by means of a set of Langevin equations [H. C. Fogedby, Phys. Rev. E 50 (1994)].
Kleinhans, D., Friedrich, R.
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Random walk in random environment with asymptotically zero perturbation [PDF]
, 2006 We give criteria for ergodicity, transience and null recurrence for the random walk in random environment on \Z+={0,1,2,…}, with reflection at the origin, where the random environment is subject to a vanishing perturbation.
Menshikov, Mikhail V., Wade, Andrew
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Patient treatment prediction by continuous time random walk inside complex system
MATEC Web of Conferences, 2018 Stochastic resonance model for medical patient condition is proposed. Approach has been generalized by means of fractional Fokker-Planck equation and subdiffusion processes.
Walczak Andrzej
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Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks
Journal of Applied Mathematics, 2012 A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting ...
Kyo-Shin Hwang, Wensheng Wang
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Superdiffusion in decoupled continuous time random walks [PDF]
Physics Letters A, 2001 9 pages (.tex file), 1 Postscript figures, uses revtex ...
Budde, C., Prato, D., Ré, M.
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Acta Scientiarum: Technology, 2012 We investigate how it is possible to obtain different diffusive regimes from the Continuous Time Random Walk (CTRW) approach performing suitable changes for the waiting time and jumping distributions in order to get two or more regimes for the same ...
Haroldo Valetin Ribeiro +4 more
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