System Dynamics Control through the Fractal Potential |
| A. Timoftea, I. Casian Botezb, D. Scurtuc and M. Agopd, e, f
aFaculty of Physics, "Al. I. Cuza" University, Iasi 700050, Romania bFaculty of Electronics and Telecomunications, "Gh. Asachi" Technical University, Iasi 700514, Romania cDepartment of Fluid Mechanics, "Gh. Asachi" Technical University, Iasi 700514, Romania dDepartment of Physics, University of Athens, Athens 15771, Greece eLaboratoire de Physique des Lasers, Atomes et Molécules, Centre d'Etudes et de Recherches Lasers, et Applications, Université Lille 1 Sciences et Technologies, 59655 Villeneuve d'Ascq Cedex, France fDepartment of Physics, "Gh. Asachi" Technical University, Iasi 700514, Romania |
| Received: June 12, 2010; revised version November 2, 2010; in final form November 15, 2010 |
| Full Text PDF |
| Implications of the fractal potential in the system dynamics using an extended scale relativity model assuming the fractal character of the particle movements, are established. So, in the dissipative approximation of the model it is shown that the fractal potential comes from the non-differentiability of the space-time, i.e. by means of imaginary part of a complex speed field. In the dispersive approximation of the same model, the fractalization of the differential part of the complex speed field induces a normalized fractal potential which controls through coherence the system dynamics. In such context the type I superconductivity results: the temperature dependences of the superconducting parameter, the accumulator effect etc. |
| DOI: 10.12693/APhysPolA.119.304 PACS numbers: 05.45.Df, 47.53.+n, 03.65.-w |