Mobile-to-clogging transition in a Fermi-like model of counterflowing particles.

@article{daSilva2019MobiletocloggingTI,
  title={Mobile-to-clogging transition in a Fermi-like model of counterflowing particles.},
  author={Roberto da Silva and Eduardo Velasco Stock},
  journal={Physical review. E},
  year={2019},
  volume={99 4-1},
  pages={
          042148
        }
}
In this paper we propose a generalized model for the motion of a two-species self-driven objects ranging from a scenario of a completely random environment of particles of negligible excluded volume to a more deterministic regime of rigid objects in an environment. Each cell of the system has a maximum occupation level called σ_{max}. Both species move in opposite directions. The probability of any given particle to move to a neighboring cell depends on the occupation of this cell according to… 
2 Citations
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A two-dimensional extension of a previously defined one-dimensional version of a model of particles in counterflowing streams, which considers an adapted Fermi-Dirac distribution to describe the transition probabilities and shows that for a sufficiently low level of randomness, the system can relax to a mobile self-organized steady state of counterflow or to an immobile state if the system has an average density near a certain crossover value.
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