Statistical Approach to Fractal-Structured Physico-Chemical Systems: Analysis of non-Fickian diffusion

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dc.creatorVasconcellos, Aurea R.
dc.creatorRamos, J. Galvão
dc.creatorGorenstein, A.
dc.creatorKleinke, M. U.
dc.creatorCruz, T. G. Souza
dc.creatorLuzzi, Roberto
dc.date2004-12-06
dc.date.accessioned2026-07-07T03:02:32Z
dc.date.available2026-07-07T03:02:32Z
dc.descriptionCompeting styles in Statistical Mechanics have been introduced to investigate physico-chemical systems displaying complex structures, when one faces difficulties to handle the standard formalism in the well established Boltzmann-Gibbs statistics. After a brief description of the question, we consider the particular case of Renyi statistics whose use is illustrated in a study of the question of the ''anomalous'' (non-Fickian) diffusion that it is involved in experiments of cyclic voltammetry in electro-physical chemistry. In them one is dealing with the fractal-like structure of the thin film morphology present in eletrodes in microbatteries which leads to fractional-power laws for describing voltammetry measurements and in the determination of the interphase width derived using atomic force microscopy. The fractional-powers associated to these quantities are related to each other and to the statistical fractal dimension, and can be expressed in terms of a power index, on which depends Renyi's statistical mechanics. It is clarified the important fact that this index, which is limited to a given interval, provides a measure of the microroughness of the electrode surface, and is related to the dynamics involved, the non-equilibrium thermodynamic state of the system, and to the experimental protocol. \\
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0412131
dc.identifierhttp://arxiv.org/abs/cond-mat/0412131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25424
dc.subjectStatistical Mechanics
dc.titleStatistical Approach to Fractal-Structured Physico-Chemical Systems: Analysis of non-Fickian diffusion
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