Journal of Physical Studies 19(3), Article 3601 [16 pages] (2015)
DOI: https://doi.org/10.30970/jps.19.3601

THE THEORY OF SPATIALLY PERIODIC EQUILIBRIUM STATES IN THE QUASI-NEUTRAL SYSTEM OF CHARGES ABOVE THE SURFACE OF LIQUID DIELECTRIC

Yu. V. Slyusarenko, D. M. Lytvynenko
National Science Center Kharkiv Institute of Physics and Technology,
Akhiezer Institute for Theoretical Physics, 1, Akademichna St., Kharkiv, UA--61108, Ukraine
Kharkiv V. N. Karazin National University, High-Technology Institute,
31, Kurchatov Ave., Kharkiv, UA-61108, Ukraine,
e-mail: d_m_litvinenko@kipt.kharkov.ua

The theory of quasi-neutral equilibrium state of charges above the surface of liquid dielectric is built. The basis of the approach is the variation principle, modified for the considered system, and the Thomas-Fermi model. In terms of this method we obtain the self-consistency equations relating the parameters of such system description -- the electrostatic field potential, the distribution function of charges and the profile of liquid dielectric surface. The equations are used to study the phase transition of the system to states with spatially periodic structure. The parameters of the phase transition with the formation of dimple crystals are obtained.

PACS number(s): 64.60.Ai, 73.20.At