Stochastic micromodel of the Couette flow

@article{Malyshev2011StochasticMO,
  title={Stochastic micromodel of the Couette flow},
  author={Viktor Aleksandrovich Malyshev and Anatoly Manita},
  journal={arXiv: Mathematical Physics},
  year={2011}
}
We study Markov exclusion process for a particle system with a local interaction in the integer strip. This process models the exchange of velocities and particle-hole exchange of the liquid molecules. It is shown that the mean velocity profile corresponds to the behaviour which is characteristic for incompressible viscous liquid. We prove the existence of phase transition between laminar and turbulent profiles. 

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