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Three-dimensional turbulent diffusion versus critical phenomena
| Content Provider | Scilit |
|---|---|
| Author | Bershadskii, A. |
| Copyright Year | 1994 |
| Description | Journal: Journal of Physics A: General Physics The critical exponent, nu , of the correlated (or coherent) length of a turbulent cluster has been related to the minimal fractal dimension, $D_{min}$, of multifractal isotropic turbulence. The relationship has turned out to be nu $D_{min}$=3/2. For the homogeneous case, $D_{min}$=3 and hence, nu =1/2 (the so-called mean-field approach of the theory of critical phenomena). For $D_{min}$ approximately=2.36 (the well known turbulent value), nu approximately=0.63. This result allows one to classify this case as the critical phenomenon of the so-called 'thermal' class of universality. Transition to the 'percolation' class of universality ( nu approximately=0.9) is determined by the boundary conditions. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/27/6/007/pdf |
| Ending Page | L194 |
| Page Count | 4 |
| Starting Page | L191 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/27/6/007 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 6 |
| Volume Number | 27 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1994-03-21 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Mathematical Physics Three Dimensional Turbulent Diffusion Boundary Condition Fractal Dimension Critical Phenomena Critical Exponent Mean Field |
| Content Type | Text |
| Resource Type | Article |
