Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Timo J. Doerries ◽  
Aleksei V. Chechkin ◽  
Rina Schumer ◽  
Ralf Metzler
Keyword(s):  
Power Law ◽  
Waiting Time ◽  
Rate Equations ◽  
Concentration Profiles ◽  
Spatial Moments ◽  
Waiting Time Distributions

Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing

2018 ◽  
Vol 20 (32) ◽  
pp. 20827-20848 ◽  
Author(s):  
Ru Hou ◽  
Andrey G. Cherstvy ◽  
Ralf Metzler ◽  
Takuma Akimoto
Keyword(s):  
Random Walks ◽  
Computer Simulations ◽  
Power Law ◽  
Waiting Time ◽  
Continuous Time ◽  
Zero Drift ◽  
Renewal Processes ◽  
Waiting Time Distributions ◽  
Continuous Time Random Walks ◽  
Ergodicity Breaking

We examine renewal processes with power-law waiting time distributions and non-zero drift via computing analytically and by computer simulations their ensemble and time averaged spreading characteristics.

Properties and Moving Time Average for Lévy Walks with Power-Law Waiting-Time Distributions

2014 ◽  
Vol 580-583 ◽  
pp. 3079-3082
Author(s):  
Kai Ying Deng ◽  
Jing Wei Deng
Keyword(s):  
Power Law ◽  
Waiting Time ◽  
Waiting Times ◽  
Time Cost ◽  
Waiting Time Distributions ◽  
Time Average

Lévy walks are a natural model for the description of sub-ballistic, superdiffusive motion. The waiting times and jump lengths of Lévy walks are coupled in the form . The-coupling introduces a time cost for each jump in the form of the generalized velocity , such that long jumps get penalized by a higher time cost. In this paper, we firstly investigate the properties of Lévy walks with power-law waiting-time distributions; then discuss its moving time average.

scholarly journals The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores

Geofluids ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Yusong Hou ◽  
Jianguo Jiang ◽  
J. Wu
Keyword(s):  
Power Law ◽  
Waiting Time ◽  
Power Index ◽  
Early Time ◽  
Anomalous Dispersion ◽  
Power Law Distribution ◽  
Waiting Time Distributions ◽  
Dead End ◽  
Exponential Decline ◽  
Power Law Distributions

Anomalous dispersion of solute in porous media can be explained by the power-law distribution of waiting time of solute particles. In this paper, we simulate the diffusion of nonreactive tracer in dead-end pores to explore the waiting time distributions. The distributions of waiting time in different dead-end pores show similar power-law decline at early time and transit to an exponential decline in the end. The transition time between these two decline modes increases with the lengths of dead-end pores. It is well known that power-law distributions of waiting time may lead to anomalous (non-Fickian) dispersion. Therefore, anomalous dispersion is highly dependent on the sizes of immobile zones. According to the power-law decline, we can directly get the power index from the structure of dead-end pores, which can be used to judge the anomalous degree of solute transport in advance.

AGE DATING SEDIMENT TO ESTABLISH GEOCHRONOLOGY OF MID-ATLANTIC FLOODPLAINS AND SEDIMENT WAITING TIME DISTRIBUTIONS

2016 ◽  
Author(s):  
Katherine Skalak ◽  
◽  
James Pizzuto ◽  
Diana Karwan ◽  
Adam Benthem ◽  
...  
Keyword(s):  
Waiting Time ◽  
Age Dating ◽  
Waiting Time Distributions

scholarly journals Waiting time distributions in a two-level fluctuator coupled to a superconducting charge detector

2019 ◽  
Vol 1 (3) ◽  
Author(s):  
Máté Jenei ◽  
Elina Potanina ◽  
Ruichen Zhao ◽  
Kuan Y. Tan ◽  
Alessandro Rossi ◽  
...  
Keyword(s):  
Waiting Time ◽  
Waiting Time Distributions

Earthquakes Descaled: On Waiting Time Distributions and Scaling Laws

2005 ◽  
Vol 94 (10) ◽  
Author(s):  
Mattias Lindman ◽  
Kristin Jonsdottir ◽  
Roland Roberts ◽  
Björn Lund ◽  
Reynir Bödvarsson
Keyword(s):  
Waiting Time ◽  
Scaling Laws ◽  
Waiting Time Distributions

scholarly journals Extended kinetic models with waiting-time distributions: Exact results

2000 ◽  
Vol 113 (24) ◽  
pp. 10867-10877 ◽  
Author(s):  
Anatoly B. Kolomeisky ◽  
Michael E. Fisher
Keyword(s):  
Waiting Time ◽  
Kinetic Models ◽  
Exact Results ◽  
Waiting Time Distributions
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