On Batchelor passive advection by a finite-time correlated random velocity field
| dc.creator | Boldyrev, S. | |
| dc.date | 2000-06-20 | |
| dc.date.accessioned | 2026-07-07T01:54:02Z | |
| dc.date.available | 2026-07-07T01:54:02Z | |
| dc.description | The Batchelor passive advection is an advection by a smooth velocity field. If the velocity field is a delta-correlated in time random Gaussian process, then the problem is reduced to quantum mechanics of fluctuating velocity gradient u'(t). For the finite-time correlated velocity field, such a reduction does not exist. To illustrate this point, the second moment of a passively advected magnetic field is considered, and the stochastic calculus is used to find finite-time corrections to its growth rate. The growth rate depends on large scale properties of the velocity field. Moreover, the problem is not universal with respect to the short-time regularization: different regularizations give different answers for the growth rate. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0006267 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0006267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/1191 | |
| dc.subject | Astrophysics | |
| dc.title | On Batchelor passive advection by a finite-time correlated random velocity field | |
| dc.type | text |