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Regular version of the site

Article

Stochastic micromodel of the Couette flow

Theory of Probability and Its Applications. 2009. Vol. 53. No. 4. P. 155-165.

We study the 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 behavior which is characteristic for incompressible viscous liquid. We prove the existence of phase transition between laminar and turbulent profiles.