Optimization of electronic transport properties using the Fisher-Tippett continuous distribution

The Fisher-Tippett distribution continuous, which is a fundamental concept lying in extreme value theory, is a very crucial thing in semiconductor and nanomaterial systems when it is about the behavior of electronic transport properties is modeled. This inquiry seeks how well the Fisher-Tippett distribution can work for the improvement of the carrier dynamics, conductivity, and mobility concerning the various thermal and doping conditions. By using the simulation and the analytical method, we analyze five numerical illustrations to show the impact of the extreme electron states on the charge transport efficiency. The research study is written by a combination of statistical mechanics and numerical modeling, which allows the derivation of key transport parameters of charge carriers, in order to make accurate predictions under differing environmental conditions. The conclusions of the findings report novel ideas that are related to the extreme values of the distributions used in the design of electronic materials that lead to the development of semiconductor technology, thermoelectrics, and optoelectronic applications. Finally, the paper ends with some general-thinking matters like the real-world applications and the possibilities of future research.