Registration Number
0216U002314,
0113U002220
, R & D reports
Title
Effects of phase coherence in nano- and makroscopic with broken symmetry
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Head
Svidzynskiy Anatoliy,
Registration Date
16-02-2016
Organization
Lesya Ukrainka Eastern European National University
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The current-phase dependence in the superconducting junctions of SINIS type at temperatures close to the critical and for wide range of values of the normal layer thickness and barrier transparency is investigated. The effect of tunneling in many layers Josephson junction was analyzed. Modification of Ohta's model for investigation equilibrium current states in many layers superconducting structures was also proposed. The expression for the dependence of current from phase difference in many barrier contacts was received. Using the generalized Gross - Pitaevskii equation for the condensate and the quantum kinetic Boltzmann equation for the thermal cloud, we derive the closed set of linearized equations that describes noncondensate degrees of freedom on the background of the condensate. Our analysis of the dispersion relation between wave number and frequency of the sound wave is based on the Wang Chang - Uhlenbeck method. In this approach we derive the dispersion relation that includes the dissipation associated with viscosity. We study the problem of the eigenfunctions and the eigenvalues for the linearized collision operator of quantum kinetic Boltzmann equation. We calculated the first few normalized eigenfunctions and eigenvalues for a weakly interacting uniform Bose-condensed gas. We apply the set of the eigenfunctions and the eigenvalues to a discussion of the propagation sound waves and to calculate the viscosity coefficient.
Product Description
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Головій В.М.
Пеньковський М.С.
Сахнюк В.Є.
Свідзинський А.В.
Шигорін П.П.
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2020-04-02
