On the scaling properties of 2d randomly stirred Navier--Stokes equation
| dc.creator | Mazzino, Andrea | |
| dc.creator | Muratore-Ginanneschi, Paolo | |
| dc.creator | Musacchio, Stefano | |
| dc.date | 2007-01-09 | |
| dc.date.accessioned | 2026-07-07T08:34:02Z | |
| dc.date.available | 2026-07-07T08:34:02Z | |
| dc.description | We inquire the scaling properties of the 2d Navier-Stokes equation sustained by a forcing field with Gaussian statistics, white-noise in time and with power-law correlation in momentum space of degree $2-2 \eps$. This is at variance with the setting usually assumed to derive Kraichan's classical theory. We contrast accurate numerical experiments with the different predictions provided for the small $\eps$ regime by Kraichnan's double cascade theory and by renormalization group (RG) analysis. We give clear evidence that for all $\eps$ Kraichnan's theory is consistent with the observed phenomenology. Our results call for a revision in the RG analysis of (2d) fully developed turbulence. | |
| dc.description | 4 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0701017 | |
| dc.identifier | http://arxiv.org/abs/nlin/0701017 | |
| dc.identifier | Phys. Rev. Lett. Vol 99, (2007), 144502. | |
| dc.identifier | doi:10.1103/PhysRevLett.99.144502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139295 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | On the scaling properties of 2d randomly stirred Navier--Stokes equation | |
| dc.type | text |