Inherent RC Circuits in Cylindrical Geometries From the Fokker-Planck Equation

Abstract

The Fokker-Planck equation is used in a scenario of classical electrodynamics as a basic model for transporting charged electrically compounds along a general fluid. While this fluid is contained in a tubular geometry, the electrical properties can be extracted from a direct volumetric integration of Fokker-Planck equation. This paper demonstrates that once it is done term-by-term then a set of electric equations are derived with minimal approximations. Thus a RC circuit is identified. The possible capacitors would obey to drift forces whereas the resistance emerges as inherent to the pass of charges through the tubule. Finally, a generalization of Fokker-Planck would be consistent to the complexity of proteins and biochemical compounds interaction in human blood for example.