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Fractal Transport Phenomena through the Scale Relativity Model

100%

Colotin M., Pompilian G., Nica P., Gurlui S., Paun V., Agop M.

Acta Physica Polonica A

2009

vol. 116

issue 2

157-164

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.

Some Aspects Concerning the "Memorization Effect" in Complex Fluid

84%

Agop M., Ochiuz L., Timofte D., Barlescu V., Danila M., Gheorghita L., Paun V., Solovastru L., Popa C.

Acta Physica Polonica A

2014

vol. 126

issue 3

663-670

In the frame of a non-standard scale relativity model, the specific momentum, states density and internal energy conservations laws are obtained. The chaoticity, either through turbulence in the fractal hydrodynamics approach, or through stochasticization in the Schrödinger type approach, is generated only by the non-differentiability of the movement trajectories of the complex fluid entities. Using the conservation laws mentioned above, by numerical simulations, hysteretic type effects (dynamics of hysteretic cycles) occur.

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2 Acta Physica Polonica A

1 2014

1 2009

2 Agop M.

2 Paun V.

1 Barlescu V.

1 Colotin M.

1 Danila M.

1 Gheorghita L.

1 Gurlui S.

1 Nica P.

1 Ochiuz L.

1 Pompilian G.

1 Popa C.

1 Solovastru L.

1 Timofte D.

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Fractal Transport Phenomena through the Scale Relativity Model

Some Aspects Concerning the "Memorization Effect" in Complex Fluid