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This paper is focused on the research an improved version of the Boltzmann-Poisson model for BaTiO3-ceramics. In the approximation of one relaxation time, for constant external electrical field, this approach included correct quadratic relation for varistor effect in the case of the Heywang model. Within meso-kinetics, quantum corrected Boltzmann-Poisson model, contains space-time correlations for the probability distribution density function f(r, k, t), lead to correct fractional relaxation velocity description. These new results corresponds to our other research based on electronic particles Brownian motion within its fractal nature.

BaTiO3-ceramics is a porous material made out of grains and pores. Such a structure is best explained by fractal nature approach. There is a strong porosity influence on microelectronic properties, so a pore itself acts as a microcapacitor with traces of inductivity. A cluster of pores than makes an integral impedance with an equivalent circuit scheme. Fractal nature theory approach helps modeling such microimpedance. The experimental data are acquired using SEM micro-graphs of the selected specimens. Further method is based on fractal analytic procedures based on extraction of fractal dimension and involving this as a key parameter. Such an approach, in combination with methods developed by the authors completes the extensive method for determination of relationship between microelectronic properties of sintered barium-titanate ceramics and technological parameters used in the sintering process. The issue of additives is also considered due the fact that dopants have considerable influence on electronic characteristics. Fractal analyzes and fractal dimension materials characterization are very important as a new tool with in the materials, electronic ceramics, and concretely ferroelectric applications. In this paper we applied fractal Cantor set and also developed fractal curvature tensor product. This enlighten new frontiers in electroceramics materials surface characterization.

This paper is focused on the research an improved version of the Boltzmann-Poisson model for BaTiO3-ceramics. In the approximation of one relaxation time, for constant external electrical field, this approach included correct quadratic relation for varistor effect in the case of the Heywang model. Within meso-kinetics, quantum corrected Boltzmann-Poisson model, contains space-time correlations for the probability distribution density function f(r, k, t), lead to correct fractional relaxation velocity description. These new results corresponds to our other research based on electronic particles Brownian motion within its fractal nature.

This paper is focused on the research an improved version of the Boltzmann-Poisson model for BaTiO3-ceramics. In the approximation of one relaxation time, for constant external electrical field, this approach included correct quadratic relation for varistor effect in the case of the Heywang model. Within meso-kinetics, quantum corrected Boltzmann-Poisson model, contains space-time correlations for the probability distribution density function f(r, k, t), lead to correct fractional relaxation velocity description. These new results corresponds to our other research based on electronic particles Brownian motion within its fractal nature.