Surface Plasmons in Thin Metallic Films

For the first time it is shown that for thin metallic films thickness of which not exceed thickness of skin -- layer, the problem of description of surface plasma oscillations allows analytical solution by arbitrary ratio between length of electrons free path and thickness of a film. The dependance of frequency surface plasma oscillations on wave number is carry out.Comment: 9 pages; 0 figure

Temperature jump in second Stokes' problem by nonlinear analysis

The second Stokes problem about behavior of the viscous fluid (matter) filling half-space is considered. A flat surface limiting half-space makes harmonious oscillations in the eigen plane. The equations of mechanics of the continuous environment are used. It is shown, that in considered process there is the temperature difference between temperature of a surface and temperature environments far from a surface. Usually similar difference is called as temperature jump. The method of small parameter is applied. Temperature jump in the second approach is found out.Comment: 8 pages, 0 figure

Generation of longitudinal electric current by the transversal electromagnetic field in collisional plasma

Kinetic Vlasov equation for collisional plasmas with BGK (Bhatnagar-Gross-Krook) collision integral is used. The case of arbitrary temperature (i.e. arbitrary degree of degeneration of electronic gas) is considered. From kinetic Vlasov equation the distribution function in square-law approximation on size of transversal electromagnetic field is received. The formula for calculation electric current is deduced. This formula contains one-dimension quadrature. It is shown, that the nonlinearity account leads to occurrence the longitudinal electric current directed along the wave vector. This longitudinal current is perpendicular to the known transversal classical current, received at the linear analysis. When frequency of collisions tends to zero, all received results for collisional plasma pass in known corresponding formulas for collisionless plasma. The case of small values of wave number is considered. It is shown, that the received quantity of longitudinal current at tendency of frequency of collisions to zero also passes in known corresponding expression of current for collisionless plasmas. Graphic research of dimensionless density of the current depending on wave number, frequency of oscillations of electromagnetic field and frequency of electron collisions with plasma particles is carried out.Comment: 22 pages, 6 figure

Longitudinal electric conductivity and dielectric permeability in quantum plasma with constant collision frequency in Mermin' approach

Detailed deducing of formulas for longitudinal electric conductivity and dielectric permeability in the quantum degenerate collisional plasma with constant collision frequency in Mermin' approach is given. The kinetic Schr\"{o}dinger-Boltzmann equation in momentum space in relaxation approximation is used. It is shown that when collision frequency of plasma particles tends to zero (plasma passes to collisionless one), the deduced formula for dielectric function passes to the known Lindhard' formula for collisionless plasmas. It is shown that the deduced formula for dielectric permeability coincides with known Mermin's formula. Graphic research of the real and imaginary parts of dielectric function is made. Graphic comparison of the real and imaginary parts of dielectric function for quantum and classical plasma also is made. The module of derivative dielectric function also has been investigated graphically.Comment: 27 pages, 14 figures. arXiv admin note: substantial text overlap with arXiv:1212.565

Magnetic susceptibility and Landau diamagnetism of quantum collisional degenerate plasmas

With the use of correct expression of the electric conductivity of quantum collisional degenerate plasmas (A. V. Latyshev and A. A. Yushkanov, Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach, - Theor. and Math. Phys., {\bf 175}(1): 559-569 (2013)) the kinetic description of a magnetic susceptibility is obtained and the formula for calculation of Landau diamagnetism is deduced.Comment: 13 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1007.073

Intrinsic nonlinearity of interaction of an electromagnetic field with quantum plasma and its research

The analysis of nonlinear interaction of transversal electromagnetic field with quantum collisionless plasma is carried out. Formulas for calculation electric current in quantum collisionless plasma at any temperature are deduced. It has appeared, that the nonlinearity account leads to occurrence of the longitudinal electric current directed along a wave vector. This second current is orthogonal to the known transversal classical current, received at the classical linear analysis. The case of degenerate electronic plasma is considered. The concept of longitudinal-transversal conductivity is entered. The graphic analysis of the real and imaginary parts of dimensionless coefficient of longitudinal-transversal conductivity is made. It is shown, that for degenerate plasmas the electric current is calculated under the formula, not containing quadratures. In this formula we have allocated known Kohn's singularities (W. Kohn, 1959).Comment: 20 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:1401.391

Landau's Problem of Degenerate Plasma Oscillations in Slab with Specular Boundary Conditions

In the present paper the linearized problem of plasma oscillations in slab (particularly, thin films) in external longitudinal alternating electric field is solved analytically. Specular boundary conditions of electron reflection from the plasma boundary are considered. Coefficients of continuous and discrete spectra of the problem are found, and electron distribution function on the plasma boundary and electric field are expressed in explicit form. Absorption of energy of electric field in slab is calculated.Comment: 34 pages, 2 figure

Magnetic Susceptibility and Landau Diamagnetism of Quantum Collisional Maxwellian Plasmas

With the use of correct expression of the electric conductivity of quantum collisional plasmas (A. V. Latyshev and A. A. Yushkanov, {\it Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach}. - Theor. and Math. Phys., {\bf 175}(1): 559-569 (2013)) the kinetic description of a magnetic susceptibility is obtained and the formula for calculation of Landau diamagnetism is deduced.Comment: 15 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1007.0732, arXiv:1305.483

Longitudinal dielectric permeability in quantum non-degenerate and maxwellian collisional plasma with constant collision frequency

The formula for dielectric function of non-degenerate and maxwellian collisional plasmas is transformed to the form, convenient for research. Graphic comparison of longitudinal dielectric functions of quantum and classical non-degenerate collisional plasmas is made.Comment: 16 pagec, 8 figure

Smoluchowski problem for degenerate Bose gases

We construct a kinetic equation simulating the behavior of degenerate quantum Bose gases with the collision rate proportional to the molecule velocity. We obtain an analytic solution of the half--space boundary--value Smoluchowski problem of the temperature jump at the interface between the degenerate Bose gas and the condensed phase.Comment: 11 pages, 1 figure