Stochastic micromodel of the Couette flow

Details Stochastic micromodel of the Couette flow Stochastic micromodel of the Couette flow

2011-12-04

arxiv.org/abs/1112.0723v1

Theory of Probability and its Applications, 2008, v. 53, No. 4, pp. 798-809

Physics

Mathematical Physics

18 pages

Scientific paper

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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