1/for flicker noise in cellular percolation systems

Universality of ac conduction for generalized space-charge transport in ordered solids

“…Nevertheless, this merely shifts the argument of striking generality as either of these critical limits thus always seems to be achieved experimentally, despite the wide range of sample parameters for which the universality is observed. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] Although the implications of space charge are commonly included in the interpretation of I − V characteristics on insulating materials, this seems not to be the case in the field of ac conduction and only a few papers have pointed in this direction. 3,17 In this paper, we will demonstrate that the use of the drift-diffusion equations in combination with a realistic model for the ohmic contact is in fact sufficient to obtain an ac conductivity that follows ͑͒ϳ s with 0 Ͻ s ഛ 1 and that obeys Taylor-Isard scaling.…”

“…Taylor-Isard scaling has been applied in a number of experiments and reflects the time-temperature superposition that appears to hold generally [1][2][3][4][5][6][7][8][9][10][11][12][13][14] …”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14] The frequency dependent conductivity is characterized by an approximate power law behavior ͑͒ ϰ s in which s is observed to be 0 Ͻ s ഛ 1. By rescaling the frequency dependent conductivity at various temperatures following Taylor-Isard scaling, master curves can be created that appear to be independent of the actual disordered material.…”

Noise in Non-Ohmic Regimes of Disordered Systems

“…As per available data, there seems to be a preponderance of β less than or equal to 2 (i.e. γ ¢ 0) [18,12,16,15]. However, there are several systems [19,17,20] where γ varies from negetive to positive values depending on sample structures.…”

“…One with β 2 is much less disordered than the one with β 1 3. In fact in composites, there is a clear trend of β decreasing with increasing disorder (or decreasing conducting fraction) [12,16]. The lower bound for β…”