Speaker
Description
The Turbulence in incompressible fluid is represented as a Field Theory in 3 dimensions. There is no time involved, so this is intended to describe stationary limit of the Hopf functional.
The basic fields are Clebsch variables defined modulo gauge transformations (symplectomorphisms).
Explicit formulas for gauge invariant Clebsch measure in space of Generalized Beltrami Flow compatible with steady energy flow are presented.
We introduce a concept of Clebsch confinement related to unbroken gauge invariance and study Clebsch instantons: singular vorticity sheets with nontrivial helicity. This is realization of the "Instantons and intermittency" program we started back in the 90ties.
These singular solutions are involved in enhancing infinitesimal random forces at remote boundary leading to critical phenomena.
The resulting symmetric exponential distribution for PDF of velocity circulation
Details
Alexander Migdal
| Is this abstract from experiment? | No |
|---|---|
| Name of experiment and experimental site | N/A |
| Is the speaker for that presentation defined? | Yes |
| Internet talk | Yes |
