arXiv subjects

V. B. Tymchyshyn

Publications and source records attributed to V. B. Tymchyshyn.

4 recordsLinked to original sources

arXiv2019

Internal magnetic field distribution in plasmas

We calculate stationary probability distribution of magnetic field, generated by moving charges of plasma environment, and stationary probability distribution of force, acting on charged particle in this environment, with magnetic interaction taken into account. While the former happens to be the Holtsmark distribution, the latter is a modified Holtsmark distribution. In contrast to prior works, we did no assumptions on the velocity distribution function and thus obtained results should be applicable to wider spectrum of models. Presented results can be experimentally verified through studies of Zeeman effect or movement of small charged Brownian particles in plasma.

cond-mat.soft↗

arXiv2017

Peculiarities of oscillator with nonlinear cordinate-dependent mass

A nonlinear model of the scalar field with a coupling between the field and its gradient is developed. It is shown, that such model is suitable for the description of phase transition accompanied by formation of spatial inhomogeneous distribution of the order parameter. The proposed model is analogous the mechanical nonlinear oscillator with the coordinate-dependent mass or velocity-dependent elastic module. Besides, for some value of energy the model under consideration possesses exact analytical solution. We assume that this model can related to the spinodal decomposition, quark confinement, or cosmological scenario. All predictions can be verified experimentally.

cond-mat.stat-mech↗

arXiv2015

Free energy analysis for a system of interacting particles arranged in Bravais lattice

We propose a method of free energy calculation for a system of interacting particles arranged in a Bravais lattice. It will be shown how to treat divergences for infinite unbounded systems with "catastrophic" potetntials like Coulomb and compare two of them. Besides, we show that current method may be used not only for essentially classical systems, but for some quantum as well. Two systems are considered: grains in dusty plasma and electrons on the liquid-helium surface. For dusty-plasma parameters of grain's lattice are calculated by numerical solution of obtained equations. Electrons on the liquid-helium surface are analyzed to get localization distance. Besides, conditions for existence of electron lattice are found.

cond-mat.stat-mech↗

arXiv2014

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

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.

cond-mat.stat-mech↗