The Influence of Noise on the Synchronization of Oscillations of Convective Currents

In this work, we study the Soret-driven convection of a two-component liquid in adjacent rectangular cells of a porous medium heated from below, taking into account the influence of random thermal fluctuations of external conditions. Two cases are considered: a spatially regular heat influx and a spatially irregular heat influx. We obtain stochastic equations for the dynamics of oscillation phases. Within the framework of these phase equations, we study the problem of the degree of synchrony of oscillations of convective currents in coupled cells using circular cumulants.