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Statut |
Confirmé |
|
Série |
LPTENS-HE |
|
Domaines |
hep-th |
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Date |
Lundi 22 Mai 2023 |
|
Heure |
11:30 |
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Institut |
LPENS |
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Salle |
E314 (24 Rue Lhomond) |
|
Nom de l'orateur |
Migdal |
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Prenom de l'orateur |
Alexander |
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Addresse email de l'orateur |
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Institution de l'orateur |
New York University |
|
Titre |
Topological vortexes, asymptotic freedom and multifractals in turbulence |
|
Résumé |
We develop a quantitative microscopic theory of decaying Turbulence by studying
the dimensional reduction of the Navier-Stokes loop equation for the velocity
circulation. We have found a degenerate family of solutions of the Navier-Stokes
loop equation for the Wilson loop in decaying Turbulence in arbitrary dimension d
> 2. This family of solutions corresponds to a nonlinear random walk in complex
space C^d, described by an algebraic equation between consecutive positions. The
probability measure is explicitly constructed in terms of products of conventional
measures for orthogonal group SO(d) and a sphere S^{d-3}. We compute a
prediction
for the three-dimensional local vorticity distribution and also the Wilson loop
for a circle of radius R as a universal function of R/sqrt{2vt}. |
|
Numéro de preprint arXiv |
|
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Commentaires |
This will be a two-hour seminar. The first hour will be aimed towards the general
audiences, while the second half will be geared more towards experts. |
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Fichiers attachés |
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