Journal ArticleDOI
Theoretical model of the impedance of a fractal metal-electrolyte interface
Reads0
Chats0
TLDR
In this article, the authors studied the power law behavior of a rough metal-electrolyte interface characterized by a self-similar fractal geometry and showed that local field effects play an important role and have to be included explicitly in the model.Abstract:
The impedance of a rough metal-electrolyte interface is known to show a complex impedance of type Z(ω) ∼ (iω)−gh at low frequencies. We study this problem for interfaces characterized by a self-similar fractal geometry. In contrast to previous theoretical studies we show that: (i) local field effects play an important role and have to be included explicitly in the model; (ii) power law behaviour is obtained for a broad range of parameters but other behaviours are also possible; (iii) the exponent η depends explicitly on various features of the model and not only on the fractal dimensions of the surface.read more
Citations
More filters
Journal ArticleDOI
The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models
TL;DR: In this paper, the authors review theoretical and experimental studies of the AC dielectric response of inhomogeneous materials, modelled as bond percolation networks, with a binary (conductor-dielectric) distribution of bond conductances.
Journal ArticleDOI
Impedance of rough capacitive electrodes
TL;DR: In this article, the authors show that capacitance dispersion due to irregular geometry appears at much higher frequencies than is usual in electrochemical methodologies and demonstrate that the capacitance on rough electrodes is due to adsorption effects.
Journal ArticleDOI
Impedance spectroscopy of interfaces, membranes and ultrastructures
TL;DR: In this article, the fundamental concepts of impedance spectroscopy are re-examined and a review is given of the role that impedance spectrograms have played in the development of our understanding of cellular and synthetic membranes, cell biophysics and ionic systems in general.
Journal ArticleDOI
A fractal interpretation of the dielectric response of animal tissues
TL;DR: An improvement to Schwan's model of the dielectric response of biological tissues is proposed which is based on a fractal interpretation of the power law behaviour (epsilon' alpha epsilon" alpha f"-1) often observed.
Journal ArticleDOI
Invariant behaviour classes for the response of simple fractal circuits
TL;DR: In this article, the response function of simple fractal circuit systems is discussed and the conditions under which each of the invariant behaviour classes occur have been derived, and an outline of the relationship of the circuit systems to experimental dielectric responses for which both behaviour classes can be observed.
References
More filters
Journal ArticleDOI
Fractal measures and their singularities: The characterization of strange sets
TL;DR: A description of normalized distributions (measures) lying upon possibly fractal sets; for example those arising in dynamical systems theory, focusing upon the scaling properties of such measures, which are characterized by two indices: \ensuremath{\alpha}, which determines the strength of their singularities; and f, which describes how densely they are distributed.
Journal ArticleDOI
Fractal measures and their singularities: The characterization of strange sets
Journal ArticleDOI
Fractal dimension and fractional power frequency-dependent impedance of blocking electrodes
Lajos Nyikos,Tamás Pajkossy +1 more
TL;DR: In this article, a general treatment of the effect of surface roughness on the impedance of ideally polarizable (blocking) electrodes is proposed, where surface irregularities are characterized solely by the effective fractional dimension, D. The advantage of this approach is that the structure of the irregularities is irrelevant if the surface is self-similar.
Journal ArticleDOI
The influence of surface roughness of solid electrodes on electrochemical measurements
TL;DR: In this paper, the influence of surface roughness of solid electrodes on electrochemical measurements is examined and a model and its mathematical consequences are presented which describe the effects in at least a semi-quantitative way.
Journal ArticleDOI
Fractal model for the ac response of a rough interface
TL;DR: A fractal model is proposed for a rough interface between two materials of very different conductivities, e.g., an electrode and an electrolyte, which provides insight into the conducting properties of the percolating cluster and the source of the 1/f noise in electronic components.
Related Papers (5)
Effect of disorder on a fractal model for the ac response of a rough interface.
Theodore Kaplan,Leonard J. Gray +1 more