Avalanches, Breathers and Flow Reversal in a Continuous Lorenz-96 Model

Abstract

For the discrete model suggested by Lorenz in 1996 a one-dimensional long wave approximation with nonlinear excitation and diffusion is derived. The model is energy conserving but non-Hamiltonian. In a low order truncation weak external forcing of the zonal mean flow induces avalanche-like breather solutions which cause reversal of the mean flow by a wave-mean flow interaction. The mechanism is an outburst-recharge process similar to avalanches in a sand pile model.

4 pages, 3 figures

References in corpus (2)

• Quasi-periodic events in crystal plasticity and the self-organized avalanche oscillator
• Logarithmic bred vectors in spatiotemporal chaos: structure and growth

Cited by in corpus (4)

• Equivalence of Non-Equilibrium Ensembles and Representation of Friction in Turbulent Flows: The Lorenz 96 Model
• Revising and Extending the Linear Response Theory for Statistical Mechanical Systems: Evaluating Observables as Predictors and Predictands
• Model and Data Reduction for Data Assimilation: Particle Filters Employing Projected Forecasts and Data with Application to a Shallow Water Model
• Lyapunov analysis of multiscale dynamics: The slow bundle of the two-scale Lorenz 96 model