Corentin Herbert
Published 2017-03-20Version 1
Two-dimensional turbulent flows, and to some extent, geophysical flows, are systems with a large number of degrees of freedom, which, albeit fluctuating, exhibit some degree of organization: coherent structures emerge spontaneously at large scales. In this short course, we show how the principles of equilibrium statistical mechanics apply to this problem and predict the condensation of energy at large scales and allow for computing the resulting coherent structures. We focus on the structure of the theory using the language of large deviation theory.
Comments: Lecture notes from the "Stochastic Equations for Complex Systems: Theory and Applications" summer school organized at the University of Wyoming in June 2014
Journal: in "Stochastic Equations for Complex Systems" (eds. S. Heinz and H. Bessaih), Chap. 3, pp 53-84 (2015)
Large deviation theory to model systems under an external feedback
Derivation of Stokes' Law from Kirkwood's Formula and the Green-Kubo Formula via Large Deviation Theory
Can the jamming transition be described using equilibrium statistical mechanics?
![QR code for arXiv:1703.06779 [cond-mat.stat-mech]](http://oss.arxitics.com/images/favicon.svg)