A model for calculating the volumetric electrification of high-resistance dielectrics in outer space

The work is devoted to the construction of a model of volumetric electrification of high-resistance dielectrics used in space technology and interacting with aggressive factors of outer space. The assumption on Maxwell distribution of charged particle flux by energy allows us to obtain a simple model that makes it possible to calculate the distribution of the electric field and potential in the volume of the dielectric, taking into account the secondary emission currents and the value of the surface potential for a given external electron flow. The complexity arises from non-linearity, the surface potential depends on the external current, and the current depends on this potential. This nonlinearity determines the occurrence of a transcendental equation with respect to the potential φ0, which is solved numerically by the iterative method. From the physics of the interaction of the charged particles flow that was described in the paper, formation of the plane of the zero value of the electric field is explained in a completely natural way with the derivation of an expression determining the numerical values of the depth of the location of this plane x₀.

V. V. Bogdanov. A model for calculating the volumetric electrification of high-resistance dielectrics in outer space. \\Bulletin of KRAUNTS. Fiz.-mat. nauki. 2018. № 2(22). C. 85-99. DOI: 10.18454/2079-6641-2018-22-2-85-99