A model of electric field in the vicinity of charged particle

Abstract

In this paper a method of modelling electric field near charged particles is introduced. Main assumption considered states that the field takes a constant value on surfaces of particles. This value is maximal admissible value of the electric field in the vacuum medium. Such an assumption induces immediately the problem how to model constant value of charge for particles with various sizes. It is shown that modelling of such a situation is possible when we assume electric field which is considerably more flat near the particle as compared with Coulomb field introduced on larger distances from the particle. Equations which describe behaviour of the electric field in the vicinity of the charged particles are discussed. They are derived with the help of assumptions introduced for four-component vacuum medium. Dominant assumption related to interactions within components states that elements of the medium responsible for generation of electric field attract themselves. Derived equations are of second order with respect to space variables and describe also the Coulomb law at larger distances from the particle. Such a possibility is attained by introduction displacements associated with intensity of electric field. This step also makes possible to adopt methods of continuum mechanics in description of the vacuum medium behaviour. Possibility of breaking the charge conservation law is discussed within this method of modelling.