Irreversible blocking in single-file concurrent and countercurrent particulate flows
| Autor: | P. Viot, Julian Talbot, Andrea Gabrielli |
|---|---|
| Přispěvatelé: | Talbot, J., Gabrielli, A., Viot, P. |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Particle number Countercurrent exchange Stochastic processes (theory) Statistical and Nonlinear Physics stochastic processes (theory) Mechanics Poisson distribution Blocking (statistics) law.invention Combinatorics Traffic flow (computer networking) Stochastic particle dynamics (theory) Physics::Fluid Dynamics symbols.namesake Flow (mathematics) law symbols Exact result stochastic particle dynamics (theory) Statistics Probability and Uncertainty exact results Filtration Communication channel Mathematics |
| Zdroj: | Journal of statistical mechanics 2015 (2015): art_n_P01027. doi:10.1088/1742-5468/2015/01/P01027 info:cnr-pdr/source/autori:J. Talbot (1); A. Gabrielli (2); P. Viot (1)/titolo:Irreversible blocking in single-file concurrent and countercurrent particulate flows/doi:10.1088%2F1742-5468%2F2015%2F01%2FP01027/rivista:Journal of statistical mechanics/anno:2015/pagina_da:art_n_P01027/pagina_a:/intervallo_pagine:art_n_P01027/volume:2015 |
| DOI: | 10.1088/1742-5468/2015/01/P01027 |
| Popis: | Filtration and flow in micro/nano-channels and traffic flow are examples of processes subject to blocking when the channel conveying the particles becomes too crowded. We propose here a concurrent flow model where particles enter a channel randomly. If at any time two particles are simultaneously present in the channel, blockage occurs. We obtain the exact solution for the survival probability, the distribution of the number of particles that pass before blockage, the instantaneous flux exiting the channel and the statistics of trapped particles. We then obtain the exact solution of a counterflow model with two opposing Poisson streams. There is no restriction on the number of particles passing in the same direction, but blockage occurs if, at any time, two opposing particles are simultaneously present in the passage. |
| Databáze: | OpenAIRE |
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