Fractal Transport Phenomena through the Scale Relativity Model

• Authors: M. Colotin , G. Pompilian , P. Nica , S. Gurlui , V. Paun , M. Agop
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

05.45.Df; 47.53.+n; 03.65.-w

Discipline

• 05.45.Df: Fractals(see also 47.53.+n Fractals in fluid dynamics; 61.43.Hv Fractals; macroscopic aggregates in structure of solids)
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 47.53.+n: Fractals in fluid dynamics(see also 05.45.Df Fractals in Statistical physics, thermodynamics, and nonlinear dynamical systems)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 2
• Pages: 157-164

Dates

published

2009-08

received

2009-05-21

(unknown)

2009-07-19

Contributors

author

M. Colotin

• Faculty of Physics, "Al. I. Cuza" University, Blvd. Carol I, no. 11, 700506 Iasi, Romania

author

G. Pompilian

• Laboratoire de Physique des Lasers, Atomes et Molécules (UMR 8523), Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq cedex, France

author

P. Nica

• Laboratoire de Physique des Lasers, Atomes et Molécules (UMR 8523), Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq cedex, France
• Department of Physics, Technical "Gh. Asachi" University, Blvd. Mangeron, no. 64, 700029 Iasi, Romania

author

S. Gurlui

• Faculty of Physics, "Al. I. Cuza" University, Blvd. Carol I, no. 11, 700506 Iasi, Romania
• Laboratoire de Physique des Lasers, Atomes et Molécules (UMR 8523), Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq cedex, France

author

V. Paun

• Faculty of Applied Sciences, Politehnica University of Bucharest, Department of Physics I, 313 Splaiul Independentei Street, 060042 Bucharest, Romania

author

M. Agop

• Laboratoire de Physique des Lasers, Atomes et Molécules (UMR 8523), Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq cedex, France
• Department of Physics, Technical "Gh. Asachi" University, Blvd. Mangeron, no. 64, 700029 Iasi, Romania

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Identifiers

DOI

10.12693/APhysPolA.116.157