Abstract
Distribution functions of electric fields fluctuating in the vicinity of charged fibers have been calculated under the assumption of a random distribution of charges on a fiber surface. It has been shown that, at a distance of a few radii from the axis of a cylindrical fiber, the distribution function of electric field components has a Gaussian form. When approaching the fiber surface, the variance of the electric fields diverges, while the distribution function deviates from the normal law. Weakly decreasing tails arise in the probability density function at high field strengths. It has been shown that, on the fiber surface, the probability density function of the electric field component directed along the axis is described by the Cauchy distribution. The distribution of fields generated by a system of randomly located and randomly oriented charged or neutral fibers with dipole moments distributed along them has been studied. It has been shown that fluctuating electric fields can increase the filtration efficiency of electret filters.
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