Instantons and intermittency in 1-D MHD Burgerlence

We examine MHD Burgerlence using instanton path integral techniques. It is shown that the characteristic directions are of fundamental importance in t he extended functional space as well as the original physical space. For fo rced Burgerlence, statistical stationarity forces the system to adopt these characteristic directions. This nonperturbative result suggests that the a ttractor for MHD Burgerlence is a state of energy equidissipation, rather t han equipartition, supporting the: main conclusions from a perturbative, re normalization group analysis. (C) 2001 Elsevier Science B.V. All rights res erved.