STATISTICAL PROPERTIES OF THE HEAT-TRANSPORT IN A MODEL OF ROTATING BENARD CONVECTION

Using a previously devised model equation [Z. Phys. B 92, 243 (1993)], we study pattern formation in rotating Bénard convection. We focus on the statistical properties of the heat transport in the regime where the roll solutions exhibit a Küppers-Lortz type instability. Due to this instability, spatially disordered patterns emerge. For these patterns we derive a stochastic differential equation for a quantity related to the heat transport. The corresponding stationary probability distribution accurately approximates the one obtained from a numerical evaluation of the model equation. © 1995 The American Physical Society.