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general area of geophysical fluid mechanics is truly interdisciplinary. Ideas from statistical physics are now being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics, and equilibrium statistical mechanics are(More)
The Madden-Julian oscillation (MJO) is the dominant mode of variability in the tropical atmosphere on intraseasonal timescales and planetary spatial scales. Despite the primary importance of the MJO and the decades of research progress since its original discovery, a generally accepted theory for its essential mechanisms has remained elusive. Here, we(More)
Recent observational analysis reveals the central role of three multicloud types, congestus, stratiform, and deep convective cumulus clouds, in the dynamics of large-scale convectively coupled Kelvin waves, westward propagating two-day waves, and the Madden–Julian oscillation. A systematic model convective pa-rameterization highlighting the dynamic role of(More)
The formation of smng and potentially singular fronts in a two-dimensional quasi-geostrophic active scalar is studied here through the symbiotic interaction of mathematical theory and numerical experiments. This active scalar represents the temperature evolving on the two dimensional boundary of a rapidly rotating half space with small Rosshy and Ekman(More)
A minimal, nonlinear oscillator model is analyzed for the Madden–Julian oscillation (MJO) ''skeleton'' (i.e., its fundamental features on intraseasonal/planetary scales), which includes the following: (i) a slow eastward phase speed of roughly 5 m s 21 , (ii) a peculiar dispersion relation with dv/dk ' 0, and (iii) a horizontal quadrupole vortex structure.(More)
The single-point probability distribution function ͑PDF͒ for a passive scalar with an imposed mean gradient is studied here. Elementary models are introduced involving advection diffusion of a passive scalar by a velocity field consisting of a deterministic or random shear flow with a transverse time-periodic transverse sweep. Despite the simplicity of(More)