Meso-kinetics of one time relaxation electrical processes in BaTiO₃ ceramics—modified Boltzmann-Poisson model

ABSTRACT

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.

KEYWORDS:

• BaTiO₃-ceramics
• Brownian motion
• dielectrics
• Boltzmann-Poisson model
• Heywang model
• fractals

Funding

This research is a part of the Project “Directed synthesis, structure and properties of multifunctional materials” (172057). The authors gratefully acknowledge the financial support of Serbian Ministry of Education, Science and Technological Development for this work.