E. A. Lukashev, E. V. Radkevich, O. A. Vasil'eva, N. N. Yakovlev, “Study of the rayleigh-benard instability by methods of the theory of nonequilibrium phase transitions in the cahn-hillard form”, Eurasian Journal of Mathematical and Computer Applications, 2017, Volume 5, Issue 2,Pages <nobr>36

Study of the rayleigh-benard instability by methods of the theory of nonequilibrium phase transitions in the cahn-hillard form

E. A. Lukashev^a, E. V. Radkevich^b, O. A. Vasil'eva^c, N. N. Yakovlev^a

^a Turaevo Machine-building Design Bureau "Soyuz" PJSC 140080, Moscow region, Lytkarino
^b Moscow State University, Faculty of Mechanics and Mathematics Russia, 119899, Moscow, Vorobevy gory
^c Moscow State University of Civil Engineering Russia, 129337, Moscow, Yaroslavskoe shosse, 26

Abstract: The paper reconstructs the early stage of the Rayleigh–B´enard convective instability considered as a nonequilibrium phase transition with the spinodal decomposition (diffusion separation) mechanism

Keywords: Rayleigh-Benard instability, nonequilibrium phase transitions, the Kahn-Hillard model, diffusion fibration, the Ginzburg-Landau potential, Gibbs free energy.

MSC: 76E09, 76F35, 82C26.

Received: 01.05.2017

Language: English