Andrea Gabrielli - ISC-CNR Roma #
Non-Markovian models of blocking in concurrent and countercurrent flows #
We investigate models in which blocking can interrupt a particulate flow
process at any time [1]. Filtration, and flow in micro/nano-channels and traffic flow are 
examples of such processes. We first consider concurrent flow models where particles enter a 
channel randomly. If at any time two particles are simultaneously present in the channel, 
failure occurs. The key quantities are the survival probability and the distribution of the 
number of particles that pass before failure. We then consider 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.
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[1] A. Gabrielli, J. Talbot and P. Viot, <a 
href="http://arxiv.org/abs/1303.4918" target="_blank">arXiv:1303.4918 </a>, in 
publication on Phys. 
Rev. Lett.