Some experimental and theoretical results on the anodic patterns in plasma discharge

Abstract

The dynamics of an interface plasma-plasma self-structured as a double anodic layer using the fractal space-time theory is established. So, for the fractal dimension D = 2, the Schrödinger "fluid" is obtained as an irrotational movement of a Navier-Stokes fluid with an imaginary viscosity coefficient. In the deterministic case, the anodic double layer is described by a set of diffusion-reaction equations, a situation in which the equal diffusion curves are of the Koch-type and the self-structuring is given by means of the coherence of the electron-ion pairs. In the nondeterministic case, the anodic double layer is described by a set of time-dependent Schrödinger-type equations and the self-structuring is given by means of the negative differential resistance and the pulsation-potential linear dependence. Through the spontaneous symmetry breaking the Langmuir's relations, the distributions of the potential field and charge densities have been obtained. The model was verified by means of our experimental data too.

Intergranular degradation of stainless steel tubular components used for kerosene transportation. Metallographic analysis

“…This is the most dangerous effect of chemical contamination, affecting the active section of the tubular components, which can reach a critical section, leading to catastrophic consequences in the operation of a jet engine. We note that a similar effect occurs in the controlled release of drugs by diffusion complex at low temperatures (critical, subcritical and supercritical) [10][11][12][13] and plasma discharge [14][15][16].…”

Implications of Non-Differentiable Entropy on a Space-Time Manifold

“…If we divide by dτ and neglect the terms that contain differential factors, using the method from [5][6][7][8][9][10][11], we obtain:…”

“…In order to eliminate this contradiction, we will assume that the temporal coordinate of the fractal curve is also a fractal one. Thus, most elements of the non-relativistic approach of scale relativity theory with arbitrary constant fractal dimension, as described in [5][6][7][8][9][10][11], remain valid, but the time differential element dt is now replaced by the proper time differential element dτ . In this way, not only the space, but the entire space-time continuum is considered to be non-differentiable and, therefore, fractal.…”

Informational Non-Differentiable Entropy and Uncertainty Relations in Complex Systems

“…Moreover, the entities of the complex system may be reduced to and identified with their own trajectories, so that the complex system will behave as a special fluid lacking interaction (via their geodesics in a non-differentiable (fractal) space). We have called such fluid a "fractal fluid" [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”

“…This topic was developed within scale relativity theory (SRT) [6,7] and non-standard scale relativity theory (NSSRT) [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In this case, we assume that the movements of complex system entities take place on continuous, but non-differentiable, curves (fractal curves), so that all physical phenomena involved in the dynamics depend not only on space-time coordinates, but also on space-time scale resolution.…”