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arXiv · 1308.3852

The statistical description of the electron system on the liquid helium surface

B. I. Lev·V. P. Ostroukh·V. B. Tymchyshyn·A. G. Zagorodny
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Abstract

It is known that homogeneous distribution of particles in Coulomb-like systems can be unstable, and spatially inhomogeneous structures can be formed. A simple method for describing such inhomogeneous systems and obtaining spacial distributions of electron density is proposed and applied to the case of two-dimensional electron systems on surface of liquid helium. A free energy functional for the model in mean field approximation is obtained. Creation of various types of structures, such as long-range periodical modulation and multi-electron dimples, is predicted by minimizing this functional.

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B. I. Lev, V. P. Ostroukh, V. B. Tymchyshyn, A. G. Zagorodny. 2014-01-21. The statistical description of the electron system on the liquid helium surface. https://doi.org/10.1140/epjb%2Fe2014-50303-2

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