Experimental and Theoretical Investigations of the Negative Differential Resistance in a Discharge Plasma

On the N-shaped Conductance and Hysteresis Behavior of Contact Glow Discharge Electrolysis

“…In the system under study, the observed hysteretic behavior is a result of the existence of an embedded non-monotone S-shaped nonlinear resistor [24]. A negative resistance necessitates an active electrical component to behave as a source of energy [25]. In this case of CGDE, the S-type behavior is due to the transitional appearance/disappearance of a space charge structure [26,25,27], which is the composite system made of the self-organized gas film on the one hand, and the glow discharge volume surrounding the working electrode on the other hand, as schematically shown in Figure 1(a).…”

“…A negative resistance necessitates an active electrical component to behave as a source of energy [25]. In this case of CGDE, the S-type behavior is due to the transitional appearance/disappearance of a space charge structure [26,25,27], which is the composite system made of the self-organized gas film on the one hand, and the glow discharge volume surrounding the working electrode on the other hand, as schematically shown in Figure 1(a). During the phase of spontaneous self-assembly of space charge structure, charged particles are stored and discharged depending on the current density available at the working electrode as well as the electronic temperature [21].…”

Solid components separation from heterogeneous mixtures through turbulence control

“…We note that the first three terms were used only in SRT [20,21] as well as in non-standard SRT (SRT approach with arbitrary constant fractal dimension [36][37][38][39][40][41][42][43]). The forward and backward averages values of (1) take the form:…”

Informational Non-Differentiable Entropy and Uncertainty Relations in Complex Systems

“…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.…”

“…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].…”