Instantons and intermittency in 1-D MHD Burgerlence

摘要

We examine MHD Burgerlence using instanton path integral techniques. It is shown that the characteristic directions are of fundamental importance in the extended functional space as well as the original physical space. For forced Burgerlence, statistical stationarity forces the system to adopt these characteristic directions. This nonperturbative result suggests that the attractor for MHD Burgerlence is a state of energy equidissipation, rather than equipartition, supporting the: main conclusions from a perturbative, renormalization group analysis. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 11]