Fractal Transport Phenomena through the Scale Relativity Model |
| M. Colotina, G.O. Pompilianb, P. Nicab, c, S. Gurluia, b, V. Paund and M. Agopb, c
a Faculty of Physics, "Al. I. Cuza" University, Blvd. Carol I, no. 11, 700506 Iasi, Romania, b Laboratoire de Physique des Lasers, Atomes et Molécules (UMR 8523), Université des Sciences et Technologies, de Lille, 59655 Villeneuve d'Ascq cedex, France, c Department of Physics, Technical "Gh. Asachi" University, Blvd. Mangeron, no. 64, 700029 Iasi, Romania, d Faculty of Applied Sciences, Politehnica University of Bucharest, Department of Physics I, 313 Splaiul Independentei Street, 060042 Bucharest, Romania |
| Received: May 21, 2009; In final form: July 19, 2009 |
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| A correspondence between Nottale's scale relativity model and Cresson's mathematical procedures is analyzed. It results that the "synchronization" of the movements at different scales (fractal scale, differential scale etc.) gives conductive type properties to the fractal fluid, while the absence of "synchronization" is inducing properties of convective type. The behavior of a conductive fractal fluid is illustrated through the numerical simulation of plasma diffusion that is generated by laser ablation. Rotational and irrotational convective behaviors of a fractal fluid are established. Particularly, at Compton spatial and temporal scales, the irrotational behavior implies the standard Schrödinger equation. |
| DOI: 10.12693/APhysPolA.116.157 PACS numbers: 05.45.Df, 47.53.+n, 03.65.-w |