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Документ Negative ion formation under stationary working mode of cylindrical ionic loudspeaker: anode weak isolation limit(Одесский национальный университет им. И. И. Мечникова, 2012) Chizhov, M. V.; Marenkov, Volodymyr I.; Eingorn, M. V.; Чижов, М. В; Маренков, Владимир Ильич; Эйнгорн, Максим Вячеславович; Маренков, Володимир Ілліч; Ейнгорн, Максим В'ячеславовичIn this paper we consider stationary mode of the ionic loudspeaker with cylindrical geometry. The formulas for the total number and number density of negative ions created are obtained. It is assumed that the leakage of the electric charge is due to weak isolation of the anode. The estimate for the acoustic pressure level is given.Документ THE ELECTROSTATIC FIELD IN THE TWO-DIMENSIONAL REGION BETWEEN UNEVEN ELECTRODES(Astroprint, 2011) Chizhov, M. V.; Eingorn, M. V.; Чижов, Максим В.; Эйнгорн, Максим Вячеславович; Чижов, Максим В.; Ейнгорн, Максим ВячеславовичThe problem of the static distribution of the potential φ of the electric field in vacuum in the two-dimensional region of space between two uneven electrodes is set and resolved.Their surface irregularities are modeled with the help of arbitrary periodic functions.The approximate solution of the Laplace’s equation Δφ = 0 satisfying corresponding boundary conditions is found to the first order of smallness with respect to the magnitude of small surface irregularities of electrodes.The “theoretical” coordinate dependence of the potential φ within established accuracy agrees well with the corresponding “experimental” dependence,which is obtained by methods of computational modeling with the help of the program package “COMSOL Multiphysics” in the simple particular case of the “rectangular” irregularity.The corresponding distribution of the potential φ is depicted on the contour plot.In practice obtained results can be applied,in particular, when conductive probes of arbitrary form are placed on the even surface of the cathode at equal distances from each other,and,hence,have direct relevance to the area of scanning tunneling microscopy.