Probabilistic Classical Electrodynamics as Weibull Functions from Diffusion Equation

Abstract

The Weibull distributions have been identified at the case when the diffusion of charged particles inside a finite cylinder are under repulsion created by an external charge playing the role as actuator. This would trigger the question if classical electrodynamics being a deterministic theory can even be expressed in terms of probabilities. For example the case of electric power derived entirely in a framework of classical electrodynamics have been mathematically expressed as family of probabilistic distribution functions such as the Weibull polynomials. This paper presents a description of this apparent transition from the deterministic to probabilistic scenario through the usage of diffusion equation that has been integrated in according to proposed geometry. Finally the logistic equation has been related consistently to the modeling of a laser shape.